id sid tid token lemma pos ap-10679 1 1 acta acta PROPN ap-10679 1 2 polytechnica polytechnica PROPN ap-10679 1 3 https://doi.org/10.14311/ap.2025.65.0515 https://doi.org/10.14311/ap.2025.65.0515 PROPN ap-10679 1 4 acta acta PROPN ap-10679 1 5 polytechnica polytechnica PROPN ap-10679 1 6 65(5):515–519 65(5):515–519 PROPN ap-10679 1 7 , , PUNCT ap-10679 1 8 2025 2025 NUM ap-10679 1 9 © © ADP ap-10679 1 10 2025 2025 NUM ap-10679 1 11 the the DET ap-10679 1 12 author(s author(s NOUN ap-10679 1 13 ) ) PUNCT ap-10679 1 14 . . PUNCT ap-10679 2 1 licensed license VERB ap-10679 2 2 under under ADP ap-10679 2 3 a a DET ap-10679 2 4 cc cc NOUN ap-10679 2 5 - - PUNCT ap-10679 2 6 by by ADP ap-10679 2 7 4.0 4.0 NUM ap-10679 2 8 licence licence NOUN ap-10679 2 9 published publish VERB ap-10679 2 10 by by ADP ap-10679 2 11 the the DET ap-10679 2 12 czech czech PROPN ap-10679 2 13 technical technical PROPN ap-10679 2 14 university university PROPN ap-10679 2 15 in in ADP ap-10679 2 16 prague prague PROPN ap-10679 2 17 unitary unitary ADJ ap-10679 2 18 generation generation NOUN ap-10679 2 19 of of ADP ap-10679 2 20 ghz ghz NOUN ap-10679 2 21 states state NOUN ap-10679 2 22 arno arno PROPN ap-10679 2 23 bandillaa bandillaa PROPN ap-10679 2 24 , , PUNCT ap-10679 2 25 goce goce PROPN ap-10679 2 26 chadzitaskosb,∗ chadzitaskosb,∗ PROPN ap-10679 2 27 , , PUNCT ap-10679 2 28 igor igor PROPN ap-10679 2 29 jexb jexb PROPN ap-10679 2 30 a a DET ap-10679 2 31 humboldt humboldt PROPN ap-10679 2 32 - - PUNCT ap-10679 2 33 universität universität PROPN ap-10679 2 34 zu zu PROPN ap-10679 2 35 berlin berlin PROPN ap-10679 2 36 , , PUNCT ap-10679 2 37 institut institut PROPN ap-10679 2 38 für für PROPN ap-10679 2 39 physik physik PROPN ap-10679 2 40 , , PUNCT ap-10679 2 41 arbeitsgruppe arbeitsgruppe PROPN ap-10679 2 42 “ " PUNCT ap-10679 2 43 nichtklassische nichtklassische PROPN ap-10679 2 44 strahlung strahlung PROPN ap-10679 2 45 ” " PUNCT ap-10679 2 46 , , PUNCT ap-10679 2 47 invalidenstr invalidenstr NOUN ap-10679 2 48 . . PROPN ap-10679 2 49 110 110 NUM ap-10679 2 50 , , PUNCT ap-10679 2 51 10115 10115 NUM ap-10679 2 52 berlin berlin PROPN ap-10679 2 53 , , PUNCT ap-10679 2 54 germany germany PROPN ap-10679 2 55 b b PROPN ap-10679 2 56 czech czech PROPN ap-10679 2 57 technical technical PROPN ap-10679 2 58 university university PROPN ap-10679 2 59 in in ADP ap-10679 2 60 prague prague PROPN ap-10679 2 61 , , PUNCT ap-10679 2 62 faculty faculty NOUN ap-10679 2 63 of of ADP ap-10679 2 64 nuclear nuclear ADJ ap-10679 2 65 sciences science NOUN ap-10679 2 66 and and CCONJ ap-10679 2 67 physical physical ADJ ap-10679 2 68 engineering engineering NOUN ap-10679 2 69 , , PUNCT ap-10679 2 70 jugoslávských jugoslávských NOUN ap-10679 2 71 partyzánů partyzánů NOUN ap-10679 2 72 3 3 NUM ap-10679 2 73 , , PUNCT ap-10679 2 74 160 160 NUM ap-10679 2 75 00 00 NUM ap-10679 2 76 prague prague PROPN ap-10679 2 77 , , PUNCT ap-10679 2 78 czech czech PROPN ap-10679 2 79 republic republic NOUN ap-10679 2 80 ∗ ∗ NOUN ap-10679 2 81 corresponding correspond VERB ap-10679 2 82 author author NOUN ap-10679 2 83 : : PUNCT ap-10679 2 84 chadzgoc@cvut.cz chadzgoc@cvut.cz PROPN ap-10679 2 85 abstract abstract NOUN ap-10679 2 86 . . PUNCT ap-10679 3 1 entangled entangled ADJ ap-10679 3 2 states state NOUN ap-10679 3 3 represent represent VERB ap-10679 3 4 fascinating fascinating ADJ ap-10679 3 5 elements element NOUN ap-10679 3 6 of of ADP ap-10679 3 7 quantum quantum ADJ ap-10679 3 8 mechanics mechanic NOUN ap-10679 3 9 and and CCONJ ap-10679 3 10 quantum quantum NOUN ap-10679 3 11 technology technology NOUN ap-10679 3 12 . . PUNCT ap-10679 4 1 their their PRON ap-10679 4 2 generation generation NOUN ap-10679 4 3 is be AUX ap-10679 4 4 an an DET ap-10679 4 5 interesting interesting ADJ ap-10679 4 6 problem problem NOUN ap-10679 4 7 combining combine VERB ap-10679 4 8 many many ADJ ap-10679 4 9 techniques technique NOUN ap-10679 4 10 developed develop VERB ap-10679 4 11 in in ADP ap-10679 4 12 quantum quantum ADJ ap-10679 4 13 optics optic NOUN ap-10679 4 14 . . PUNCT ap-10679 5 1 using use VERB ap-10679 5 2 algebraic algebraic ADJ ap-10679 5 3 properties property NOUN ap-10679 5 4 of of ADP ap-10679 5 5 special special ADJ ap-10679 5 6 transforms transform NOUN ap-10679 5 7 we we PRON ap-10679 5 8 derive derive VERB ap-10679 5 9 the the DET ap-10679 5 10 explicit explicit ADJ ap-10679 5 11 form form NOUN ap-10679 5 12 of of ADP ap-10679 5 13 the the DET ap-10679 5 14 effective effective ADJ ap-10679 5 15 hamiltonian hamiltonian NOUN ap-10679 5 16 that that PRON ap-10679 5 17 enables enable VERB ap-10679 5 18 the the DET ap-10679 5 19 generation generation NOUN ap-10679 5 20 of of ADP ap-10679 5 21 highly highly ADV ap-10679 5 22 nonclassical nonclassical ADJ ap-10679 5 23 states state NOUN ap-10679 5 24 of of ADP ap-10679 5 25 the the DET ap-10679 5 26 ghz ghz NOUN ap-10679 5 27 type type NOUN ap-10679 5 28 . . PUNCT ap-10679 6 1 such such ADJ ap-10679 6 2 hamiltonians hamiltonian NOUN ap-10679 6 3 belong belong VERB ap-10679 6 4 to to ADP ap-10679 6 5 the the DET ap-10679 6 6 higher high ADJ ap-10679 6 7 order order NOUN ap-10679 6 8 hamiltonians hamiltonian NOUN ap-10679 6 9 often often ADV ap-10679 6 10 discussed discuss VERB ap-10679 6 11 in in ADP ap-10679 6 12 nonlinear nonlinear ADJ ap-10679 6 13 quantum quantum ADJ ap-10679 6 14 optics optic NOUN ap-10679 6 15 . . PUNCT ap-10679 7 1 we we PRON ap-10679 7 2 derive derive VERB ap-10679 7 3 the the DET ap-10679 7 4 form form NOUN ap-10679 7 5 of of ADP ap-10679 7 6 the the DET ap-10679 7 7 effective effective ADJ ap-10679 7 8 hamiltonian hamiltonian NOUN ap-10679 7 9 that that PRON ap-10679 7 10 enables enable VERB ap-10679 7 11 the the DET ap-10679 7 12 generation generation NOUN ap-10679 7 13 of of ADP ap-10679 7 14 highly highly ADV ap-10679 7 15 nonclassical nonclassical ADJ ap-10679 7 16 states state NOUN ap-10679 7 17 of of ADP ap-10679 7 18 the the DET ap-10679 7 19 ghz ghz NOUN ap-10679 7 20 type type NOUN ap-10679 7 21 . . PUNCT ap-10679 8 1 keywords keyword NOUN ap-10679 8 2 : : PUNCT ap-10679 8 3 quantum quantum ADJ ap-10679 8 4 optics optic NOUN ap-10679 8 5 . . PUNCT ap-10679 9 1 the the DET ap-10679 9 2 basic basic ADJ ap-10679 9 3 idea idea NOUN ap-10679 9 4 of of ADP ap-10679 9 5 the the DET ap-10679 9 6 manuscript manuscript NOUN ap-10679 9 7 was be AUX ap-10679 9 8 the the DET ap-10679 9 9 result result NOUN ap-10679 9 10 of of ADP ap-10679 9 11 the the DET ap-10679 9 12 discussions discussion NOUN ap-10679 9 13 with with ADP ap-10679 9 14 dr dr PROPN ap-10679 9 15 . . PROPN ap-10679 9 16 a. a. PROPN ap-10679 9 17 bandilla bandilla PROPN ap-10679 9 18 . . PUNCT ap-10679 10 1 he he PRON ap-10679 10 2 passed pass VERB ap-10679 10 3 away away ADP ap-10679 10 4 some some DET ap-10679 10 5 time time NOUN ap-10679 10 6 ago ago ADV ap-10679 10 7 , , PUNCT ap-10679 10 8 however however ADV ap-10679 10 9 , , PUNCT ap-10679 10 10 his his PRON ap-10679 10 11 ideas idea NOUN ap-10679 10 12 and and CCONJ ap-10679 10 13 dedication dedication NOUN ap-10679 10 14 to to ADP ap-10679 10 15 physics physics NOUN ap-10679 10 16 are be AUX ap-10679 10 17 still still ADV ap-10679 10 18 with with ADP ap-10679 10 19 us we PRON ap-10679 10 20 . . PUNCT ap-10679 11 1 1 1 X ap-10679 11 2 . . X ap-10679 11 3 introduction introduction NOUN ap-10679 11 4 ghz ghz NOUN ap-10679 11 5 states state NOUN ap-10679 11 6 and and CCONJ ap-10679 11 7 their their PRON ap-10679 11 8 generalizations generalization NOUN ap-10679 11 9 found find VERB ap-10679 11 10 their their PRON ap-10679 11 11 applications application NOUN ap-10679 11 12 far far ADV ap-10679 11 13 beyond beyond ADP ap-10679 11 14 the the DET ap-10679 11 15 initial initial ADJ ap-10679 11 16 intension intension NOUN ap-10679 11 17 proving prove VERB ap-10679 11 18 nonclassicality nonclassicality NOUN ap-10679 11 19 without without ADP ap-10679 11 20 statistical statistical ADJ ap-10679 11 21 tests test NOUN ap-10679 11 22 . . PUNCT ap-10679 12 1 ghz ghz NOUN ap-10679 12 2 states state NOUN ap-10679 12 3 are be AUX ap-10679 12 4 at at ADP ap-10679 12 5 present present ADJ ap-10679 12 6 used use VERB ap-10679 12 7 for for ADP ap-10679 12 8 the the DET ap-10679 12 9 design design NOUN ap-10679 12 10 of of ADP ap-10679 12 11 multipartite multipartite ADJ ap-10679 12 12 communication communication NOUN ap-10679 12 13 across across ADP ap-10679 12 14 quantum quantum NOUN ap-10679 12 15 networks network NOUN ap-10679 12 16 with with ADP ap-10679 12 17 several several ADJ ap-10679 12 18 parties party NOUN ap-10679 12 19 involved involve VERB ap-10679 12 20 , , PUNCT ap-10679 12 21 multipartite multipartite ADJ ap-10679 12 22 secret secret ADJ ap-10679 12 23 sharing sharing NOUN ap-10679 12 24 . . PUNCT ap-10679 13 1 the the DET ap-10679 13 2 ghz ghz NOUN ap-10679 13 3 states state NOUN ap-10679 13 4 are be AUX ap-10679 13 5 also also ADV ap-10679 13 6 considered consider VERB ap-10679 13 7 elementary elementary ADJ ap-10679 13 8 building building NOUN ap-10679 13 9 blocks block NOUN ap-10679 13 10 for for ADP ap-10679 13 11 quantum quantum NOUN ap-10679 13 12 computing computing NOUN ap-10679 13 13 where where SCONJ ap-10679 13 14 out out ADP ap-10679 13 15 of of ADP ap-10679 13 16 these these DET ap-10679 13 17 states state NOUN ap-10679 13 18 more more ADV ap-10679 13 19 complicated complicated ADJ ap-10679 13 20 states state NOUN ap-10679 13 21 are be AUX ap-10679 13 22 formed form VERB ap-10679 13 23 on on ADP ap-10679 13 24 which which PRON ap-10679 13 25 , , PUNCT ap-10679 13 26 or or CCONJ ap-10679 13 27 by by ADP ap-10679 13 28 means mean NOUN ap-10679 13 29 of of ADP ap-10679 13 30 , , PUNCT ap-10679 13 31 computations computation NOUN ap-10679 13 32 are be AUX ap-10679 13 33 carried carry VERB ap-10679 13 34 out out ADP ap-10679 13 35 . . PUNCT ap-10679 14 1 there there PRON ap-10679 14 2 are be VERB ap-10679 14 3 multipartite multipartite ADJ ap-10679 14 4 ( ( PUNCT ap-10679 14 5 higher high ADJ ap-10679 14 6 than than ADP ap-10679 14 7 three three NUM ap-10679 14 8 parties party NOUN ap-10679 14 9 ) ) PUNCT ap-10679 14 10 generalizations generalization NOUN ap-10679 14 11 of of ADP ap-10679 14 12 ghz ghz NOUN ap-10679 14 13 states state NOUN ap-10679 14 14 . . PUNCT ap-10679 15 1 they they PRON ap-10679 15 2 are be AUX ap-10679 15 3 becoming become VERB ap-10679 15 4 indispensable indispensable ADJ ap-10679 15 5 for for ADP ap-10679 15 6 the the DET ap-10679 15 7 latest late ADJ ap-10679 15 8 developments development NOUN ap-10679 15 9 in in ADP ap-10679 15 10 quantum quantum NOUN ap-10679 15 11 computing computing NOUN ap-10679 15 12 and and CCONJ ap-10679 15 13 quantum quantum NOUN ap-10679 15 14 technologies technology NOUN ap-10679 15 15 [ [ X ap-10679 15 16 1 1 NUM ap-10679 15 17 , , PUNCT ap-10679 15 18 2 2 NUM ap-10679 15 19 ] ] PUNCT ap-10679 15 20 . . PUNCT ap-10679 16 1 among among ADP ap-10679 16 2 other other ADJ ap-10679 16 3 studies study NOUN ap-10679 16 4 , , PUNCT ap-10679 16 5 the the DET ap-10679 16 6 generation generation NOUN ap-10679 16 7 of of ADP ap-10679 16 8 ghz ghz NOUN ap-10679 16 9 states state NOUN ap-10679 16 10 is be AUX ap-10679 16 11 a a DET ap-10679 16 12 useful useful ADJ ap-10679 16 13 subject subject NOUN ap-10679 16 14 of of ADP ap-10679 16 15 theories theory NOUN ap-10679 16 16 . . PUNCT ap-10679 17 1 the the DET ap-10679 17 2 generation generation NOUN ap-10679 17 3 and and CCONJ ap-10679 17 4 manipulation manipulation NOUN ap-10679 17 5 of of ADP ap-10679 17 6 quantum quantum ADJ ap-10679 17 7 states state NOUN ap-10679 17 8 is be AUX ap-10679 17 9 one one NUM ap-10679 17 10 of of ADP ap-10679 17 11 the the DET ap-10679 17 12 standard standard ADJ ap-10679 17 13 tasks task NOUN ap-10679 17 14 for for ADP ap-10679 17 15 physics physics NOUN ap-10679 17 16 , , PUNCT ap-10679 17 17 particularly particularly ADV ap-10679 17 18 in in ADP ap-10679 17 19 quantum quantum ADJ ap-10679 17 20 optics optic NOUN ap-10679 17 21 . . PUNCT ap-10679 18 1 there there PRON ap-10679 18 2 are be VERB ap-10679 18 3 several several ADJ ap-10679 18 4 reasons reason NOUN ap-10679 18 5 for for ADP ap-10679 18 6 being be AUX ap-10679 18 7 interested interested ADJ ap-10679 18 8 in in ADP ap-10679 18 9 the the DET ap-10679 18 10 problem problem NOUN ap-10679 18 11 of of ADP ap-10679 18 12 quantum quantum ADJ ap-10679 18 13 state state NOUN ap-10679 18 14 generation generation NOUN ap-10679 18 15 . . PUNCT ap-10679 19 1 firstly firstly ADV ap-10679 19 2 , , PUNCT ap-10679 19 3 specially specially ADV ap-10679 19 4 prepared prepared ADJ ap-10679 19 5 quantum quantum ADJ ap-10679 19 6 states state NOUN ap-10679 19 7 are be AUX ap-10679 19 8 tools tool NOUN ap-10679 19 9 for for ADP ap-10679 19 10 performing perform VERB ap-10679 19 11 experiments experiment NOUN ap-10679 19 12 and and CCONJ ap-10679 19 13 measurements measurement NOUN ap-10679 19 14 . . PUNCT ap-10679 20 1 certain certain ADJ ap-10679 20 2 experiments experiment NOUN ap-10679 20 3 can can AUX ap-10679 20 4 be be AUX ap-10679 20 5 performed perform VERB ap-10679 20 6 only only ADV ap-10679 20 7 with with ADP ap-10679 20 8 the the DET ap-10679 20 9 aid aid NOUN ap-10679 20 10 of of ADP ap-10679 20 11 certain certain ADJ ap-10679 20 12 classes class NOUN ap-10679 20 13 of of ADP ap-10679 20 14 states state NOUN ap-10679 20 15 . . PUNCT ap-10679 21 1 the the DET ap-10679 21 2 sensitivity sensitivity NOUN ap-10679 21 3 and and CCONJ ap-10679 21 4 precision precision NOUN ap-10679 21 5 of of ADP ap-10679 21 6 measurements measurement NOUN ap-10679 21 7 is be AUX ap-10679 21 8 dependent dependent ADJ ap-10679 21 9 on on ADP ap-10679 21 10 the the DET ap-10679 21 11 “ " PUNCT ap-10679 21 12 quality quality NOUN ap-10679 21 13 ” " PUNCT ap-10679 21 14 of of ADP ap-10679 21 15 the the DET ap-10679 21 16 used use VERB ap-10679 21 17 states state NOUN ap-10679 21 18 . . PUNCT ap-10679 22 1 quantum quantum PROPN ap-10679 22 2 states state NOUN ap-10679 22 3 can can AUX ap-10679 22 4 be be AUX ap-10679 22 5 by by ADP ap-10679 22 6 itself itself PRON ap-10679 22 7 of of ADP ap-10679 22 8 interest interest NOUN ap-10679 22 9 . . PUNCT ap-10679 23 1 on on ADP ap-10679 23 2 the the DET ap-10679 23 3 level level NOUN ap-10679 23 4 of of ADP ap-10679 23 5 quantum quantum ADJ ap-10679 23 6 states state NOUN ap-10679 23 7 two two NUM ap-10679 23 8 of of ADP ap-10679 23 9 the the DET ap-10679 23 10 crucial crucial ADJ ap-10679 23 11 properties property NOUN ap-10679 23 12 of of ADP ap-10679 23 13 quantum quantum ADJ ap-10679 23 14 mechanics mechanic NOUN ap-10679 23 15 can can AUX ap-10679 23 16 be be AUX ap-10679 23 17 demonstrated demonstrate VERB ap-10679 23 18 [ [ X ap-10679 23 19 3 3 NUM ap-10679 23 20 , , PUNCT ap-10679 23 21 4 4 NUM ap-10679 23 22 ] ] PUNCT ap-10679 23 23 . . PUNCT ap-10679 24 1 first first ADV ap-10679 24 2 of of ADP ap-10679 24 3 all all DET ap-10679 24 4 the the DET ap-10679 24 5 quantum quantum ADJ ap-10679 24 6 theory theory NOUN ap-10679 24 7 enables enable VERB ap-10679 24 8 the the DET ap-10679 24 9 linear linear ADJ ap-10679 24 10 superposition superposition NOUN ap-10679 24 11 of of ADP ap-10679 24 12 allowed allow VERB ap-10679 24 13 states state NOUN ap-10679 24 14 . . PUNCT ap-10679 25 1 this this DET ap-10679 25 2 quite quite ADV ap-10679 25 3 obvious obvious ADJ ap-10679 25 4 statement statement NOUN ap-10679 25 5 gets get VERB ap-10679 25 6 an an DET ap-10679 25 7 exotic exotic ADJ ap-10679 25 8 flavour flavour NOUN ap-10679 25 9 when when SCONJ ap-10679 25 10 we we PRON ap-10679 25 11 begin begin VERB ap-10679 25 12 to to PART ap-10679 25 13 be be AUX ap-10679 25 14 interested interested ADJ ap-10679 25 15 on on ADP ap-10679 25 16 states state NOUN ap-10679 25 17 that that PRON ap-10679 25 18 are be AUX ap-10679 25 19 almost almost ADV ap-10679 25 20 classical classical ADJ ap-10679 25 21 . . PUNCT ap-10679 26 1 it it PRON ap-10679 26 2 is be AUX ap-10679 26 3 not not PART ap-10679 26 4 too too ADV ap-10679 26 5 difficult difficult ADJ ap-10679 26 6 to to PART ap-10679 26 7 prepare prepare VERB ap-10679 26 8 a a DET ap-10679 26 9 ( ( PUNCT ap-10679 26 10 glauber glauber PROPN ap-10679 26 11 ) ) PUNCT ap-10679 26 12 coherent coherent ADJ ap-10679 26 13 state state NOUN ap-10679 26 14 with with ADP ap-10679 26 15 an an DET ap-10679 26 16 almost almost ADV ap-10679 26 17 arbitrary arbitrary ADJ ap-10679 26 18 amplitude amplitude NOUN ap-10679 26 19 . . PUNCT ap-10679 27 1 however however ADV ap-10679 27 2 , , PUNCT ap-10679 27 3 it it PRON ap-10679 27 4 is be AUX ap-10679 27 5 an an DET ap-10679 27 6 experimental experimental ADJ ap-10679 27 7 challenge challenge NOUN ap-10679 27 8 to to PART ap-10679 27 9 prepare prepare VERB ap-10679 27 10 the the DET ap-10679 27 11 ( ( PUNCT ap-10679 27 12 coherent coherent ADJ ap-10679 27 13 ) ) PUNCT ap-10679 27 14 superposition superposition NOUN ap-10679 27 15 of of ADP ap-10679 27 16 two two NUM ap-10679 27 17 coherent coherent ADJ ap-10679 27 18 states state NOUN ap-10679 27 19 with with ADP ap-10679 27 20 two two NUM ap-10679 27 21 different different ADJ ap-10679 27 22 large large ADJ ap-10679 27 23 amplitudes amplitude NOUN ap-10679 27 24 . . PUNCT ap-10679 28 1 such such DET ap-10679 28 2 a a DET ap-10679 28 3 state state NOUN ap-10679 28 4 was be AUX ap-10679 28 5 named name VERB ap-10679 28 6 schrödinger schrödinger ADJ ap-10679 28 7 cat cat NOUN ap-10679 28 8 in in ADP ap-10679 28 9 the the DET ap-10679 28 10 recent recent ADJ ap-10679 28 11 literature literature NOUN ap-10679 28 12 . . PUNCT ap-10679 29 1 it it PRON ap-10679 29 2 exemplifies exemplify VERB ap-10679 29 3 how how SCONJ ap-10679 29 4 difficult difficult ADJ ap-10679 29 5 it it PRON ap-10679 29 6 is be AUX ap-10679 29 7 to to PART ap-10679 29 8 preserve preserve VERB ap-10679 29 9 the the DET ap-10679 29 10 quantum quantum ADJ ap-10679 29 11 coherence coherence NOUN ap-10679 29 12 on on ADP ap-10679 29 13 the the DET ap-10679 29 14 “ " PUNCT ap-10679 29 15 classical classical ADJ ap-10679 29 16 ” " PUNCT ap-10679 29 17 level level NOUN ap-10679 29 18 as as ADP ap-10679 29 19 such such ADJ ap-10679 29 20 superpositions superposition NOUN ap-10679 29 21 are be AUX ap-10679 29 22 extremely extremely ADV ap-10679 29 23 fragile fragile ADJ ap-10679 29 24 towards towards ADP ap-10679 29 25 dissipation dissipation NOUN ap-10679 29 26 and and CCONJ ap-10679 29 27 leads lead VERB ap-10679 29 28 almost almost ADV ap-10679 29 29 inevitably inevitably ADV ap-10679 29 30 into into ADP ap-10679 29 31 the the DET ap-10679 29 32 real real NOUN ap-10679 29 33 of of ADP ap-10679 29 34 decoherence decoherence NOUN ap-10679 29 35 in in ADP ap-10679 29 36 quantum quantum ADJ ap-10679 29 37 theory theory NOUN ap-10679 29 38 . . PUNCT ap-10679 30 1 the the DET ap-10679 30 2 other other ADJ ap-10679 30 3 important important ADJ ap-10679 30 4 feature feature NOUN ap-10679 30 5 of of ADP ap-10679 30 6 quantum quantum ADJ ap-10679 30 7 states state NOUN ap-10679 30 8 is be AUX ap-10679 30 9 the the DET ap-10679 30 10 entanglement entanglement NOUN ap-10679 30 11 [ [ X ap-10679 30 12 5 5 NUM ap-10679 30 13 ] ] PUNCT ap-10679 30 14 . . PUNCT ap-10679 31 1 when when SCONJ ap-10679 31 2 we we PRON ap-10679 31 3 deal deal VERB ap-10679 31 4 with with ADP ap-10679 31 5 systems system NOUN ap-10679 31 6 composed compose VERB ap-10679 31 7 from from ADP ap-10679 31 8 several several ADJ ap-10679 31 9 quantum quantum ADJ ap-10679 31 10 objects object NOUN ap-10679 31 11 the the DET ap-10679 31 12 quantum quantum ADJ ap-10679 31 13 state state NOUN ap-10679 31 14 of of ADP ap-10679 31 15 the the DET ap-10679 31 16 whole whole ADJ ap-10679 31 17 system system NOUN ap-10679 31 18 can can AUX ap-10679 31 19 exhibit exhibit VERB ap-10679 31 20 correlations correlation NOUN ap-10679 31 21 that that PRON ap-10679 31 22 have have VERB ap-10679 31 23 no no DET ap-10679 31 24 classical classical ADJ ap-10679 31 25 analogue analogue NOUN ap-10679 31 26 . . PUNCT ap-10679 32 1 this this DET ap-10679 32 2 feature feature NOUN ap-10679 32 3 is be AUX ap-10679 32 4 at at ADP ap-10679 32 5 the the DET ap-10679 32 6 heart heart NOUN ap-10679 32 7 of of ADP ap-10679 32 8 quantum quantum NOUN ap-10679 32 9 theory theory NOUN ap-10679 32 10 and and CCONJ ap-10679 32 11 was be AUX ap-10679 32 12 pointed point VERB ap-10679 32 13 out out ADP ap-10679 32 14 already already ADV ap-10679 32 15 by by ADP ap-10679 32 16 the the DET ap-10679 32 17 founders founder NOUN ap-10679 32 18 of of ADP ap-10679 32 19 quantum quantum NOUN ap-10679 32 20 theory theory NOUN ap-10679 32 21 . . PUNCT ap-10679 33 1 so so ADV ap-10679 33 2 since since SCONJ ap-10679 33 3 the the DET ap-10679 33 4 early early ADJ ap-10679 33 5 days day NOUN ap-10679 33 6 of of ADP ap-10679 33 7 quantum quantum ADJ ap-10679 33 8 mechanics mechanic NOUN ap-10679 33 9 considerable considerable ADJ ap-10679 33 10 effort effort NOUN ap-10679 33 11 was be AUX ap-10679 33 12 invested invest VERB ap-10679 33 13 into into ADP ap-10679 33 14 the the DET ap-10679 33 15 generation generation NOUN ap-10679 33 16 of of ADP ap-10679 33 17 entangled entangled ADJ ap-10679 33 18 pairs pair NOUN ap-10679 33 19 of of ADP ap-10679 33 20 particles particle NOUN ap-10679 33 21 ( ( PUNCT ap-10679 33 22 atoms atom NOUN ap-10679 33 23 , , PUNCT ap-10679 33 24 photons photon NOUN ap-10679 33 25 ) ) PUNCT ap-10679 33 26 . . PUNCT ap-10679 34 1 this this DET ap-10679 34 2 couples couple NOUN ap-10679 34 3 of of ADP ap-10679 34 4 objects object NOUN ap-10679 34 5 were be AUX ap-10679 34 6 named name VERB ap-10679 34 7 bell bell NOUN ap-10679 34 8 pairs pair NOUN ap-10679 34 9 and and CCONJ ap-10679 34 10 with with ADP ap-10679 34 11 their their PRON ap-10679 34 12 aid aid NOUN ap-10679 34 13 several several ADJ ap-10679 34 14 experiments experiment NOUN ap-10679 34 15 have have AUX ap-10679 34 16 been be AUX ap-10679 34 17 performed perform VERB ap-10679 34 18 to to PART ap-10679 34 19 test test VERB ap-10679 34 20 quantum quantum ADJ ap-10679 34 21 mechanics mechanic NOUN ap-10679 34 22 , , PUNCT ap-10679 34 23 especially especially ADV ap-10679 34 24 to to PART ap-10679 34 25 discriminate discriminate VERB ap-10679 34 26 between between ADP ap-10679 34 27 quantum quantum ADJ ap-10679 34 28 mechanics mechanic NOUN ap-10679 34 29 and and CCONJ ap-10679 34 30 alternative alternative ADJ ap-10679 34 31 local local ADJ ap-10679 34 32 hidden hidden ADJ ap-10679 34 33 variable variable ADJ ap-10679 34 34 theories theory NOUN ap-10679 34 35 . . PUNCT ap-10679 35 1 the the DET ap-10679 35 2 bell bell PROPN ap-10679 35 3 pairs pair NOUN ap-10679 35 4 are be AUX ap-10679 35 5 states state NOUN ap-10679 35 6 having have VERB ap-10679 35 7 strong strong ADJ ap-10679 35 8 two two NUM ap-10679 35 9 - - PUNCT ap-10679 35 10 particle particle NOUN ap-10679 35 11 quantum quantum NOUN ap-10679 35 12 correlations correlation NOUN ap-10679 35 13 . . PUNCT ap-10679 36 1 it it PRON ap-10679 36 2 is be AUX ap-10679 36 3 an an DET ap-10679 36 4 interesting interesting ADJ ap-10679 36 5 task task NOUN ap-10679 36 6 to to PART ap-10679 36 7 search search VERB ap-10679 36 8 for for ADP ap-10679 36 9 generalizations generalization NOUN ap-10679 36 10 involving involve VERB ap-10679 36 11 more more ADJ ap-10679 36 12 then then ADV ap-10679 36 13 two two NUM ap-10679 36 14 quantum quantum ADJ ap-10679 36 15 objects object NOUN ap-10679 36 16 [ [ X ap-10679 36 17 6 6 NUM ap-10679 36 18 ] ] PUNCT ap-10679 36 19 . . PUNCT ap-10679 37 1 this this PRON ap-10679 37 2 might might AUX ap-10679 37 3 be be AUX ap-10679 37 4 atoms atom NOUN ap-10679 37 5 , , PUNCT ap-10679 37 6 photons photon NOUN ap-10679 37 7 or or CCONJ ap-10679 37 8 their their PRON ap-10679 37 9 combinations combination NOUN ap-10679 37 10 . . PUNCT ap-10679 38 1 the the DET ap-10679 38 2 higher high ADJ ap-10679 38 3 order order NOUN ap-10679 38 4 analogues analogue NOUN ap-10679 38 5 of of ADP ap-10679 38 6 bell bell NOUN ap-10679 38 7 pairs pair NOUN ap-10679 38 8 have have AUX ap-10679 38 9 been be AUX ap-10679 38 10 named name VERB ap-10679 38 11 ghz ghz NOUN ap-10679 38 12 state state NOUN ap-10679 38 13 describing describe VERB ap-10679 38 14 a a DET ap-10679 38 15 special special ADJ ap-10679 38 16 superposition superposition NOUN ap-10679 38 17 of of ADP ap-10679 38 18 three three NUM ap-10679 38 19 particles particle NOUN ap-10679 38 20 . . PUNCT ap-10679 39 1 it it PRON ap-10679 39 2 enables enable VERB ap-10679 39 3 a a DET ap-10679 39 4 more more ADV ap-10679 39 5 sophisticated sophisticated ADJ ap-10679 39 6 check check NOUN ap-10679 39 7 of of ADP ap-10679 39 8 quantum quantum ADJ ap-10679 39 9 mechanical mechanical ADJ ap-10679 39 10 predictions prediction NOUN ap-10679 39 11 . . PUNCT ap-10679 40 1 recently recently ADV ap-10679 40 2 , , PUNCT ap-10679 40 3 several several ADJ ap-10679 40 4 proposals proposal NOUN ap-10679 40 5 have have AUX ap-10679 40 6 been be AUX ap-10679 40 7 put put VERB ap-10679 40 8 forward forward ADV ap-10679 40 9 to to PART ap-10679 40 10 solve solve VERB ap-10679 40 11 the the DET ap-10679 40 12 problem problem NOUN ap-10679 40 13 how how SCONJ ap-10679 40 14 to to PART ap-10679 40 15 generate generate VERB ap-10679 40 16 such such ADJ ap-10679 40 17 states state NOUN ap-10679 40 18 and and CCONJ ap-10679 40 19 some some PRON ap-10679 40 20 of of ADP ap-10679 40 21 them they PRON ap-10679 40 22 have have AUX ap-10679 40 23 been be AUX ap-10679 40 24 realized realize VERB ap-10679 40 25 experimentally experimentally ADV ap-10679 40 26 . . PUNCT ap-10679 41 1 the the DET ap-10679 41 2 aim aim NOUN ap-10679 41 3 of of ADP ap-10679 41 4 the the DET ap-10679 41 5 present present ADJ ap-10679 41 6 paper paper NOUN ap-10679 41 7 is be AUX ap-10679 41 8 a a DET ap-10679 41 9 proposal proposal NOUN ap-10679 41 10 of of ADP ap-10679 41 11 one one NUM ap-10679 41 12 additional additional ADJ ap-10679 41 13 method method NOUN ap-10679 41 14 to to ADP ap-10679 41 15 this this DET ap-10679 41 16 list list NOUN ap-10679 41 17 . . PUNCT ap-10679 42 1 515 515 NUM ap-10679 42 2 https://doi.org/10.14311/ap.2025.65.0515 https://doi.org/10.14311/ap.2025.65.0515 NOUN ap-10679 42 3 https://creativecommons.org/licenses/by/4.0/ https://creativecommons.org/licenses/by/4.0/ PROPN ap-10679 42 4 https://www.cvut.cz/en https://www.cvut.cz/en PROPN ap-10679 42 5 a. a. NOUN ap-10679 42 6 bandilla bandilla PROPN ap-10679 42 7 , , PUNCT ap-10679 42 8 g. g. PROPN ap-10679 42 9 chadzitaskos chadzitaskos PROPN ap-10679 42 10 , , PUNCT ap-10679 42 11 i. i. PROPN ap-10679 42 12 jex jex PROPN ap-10679 42 13 acta acta PROPN ap-10679 42 14 polytechnica polytechnica PROPN ap-10679 42 15 2 2 NUM ap-10679 42 16 . . PUNCT ap-10679 42 17 quantum quantum ADJ ap-10679 42 18 state state NOUN ap-10679 42 19 generation generation NOUN ap-10679 42 20 the the DET ap-10679 42 21 various various ADJ ap-10679 42 22 schemes scheme NOUN ap-10679 42 23 of of ADP ap-10679 42 24 quantum quantum ADJ ap-10679 42 25 state state NOUN ap-10679 42 26 generation generation NOUN ap-10679 42 27 combines combine VERB ap-10679 42 28 in in ADP ap-10679 42 29 principle principle NOUN ap-10679 42 30 two two NUM ap-10679 42 31 different different ADJ ap-10679 42 32 building building NOUN ap-10679 42 33 blocks block NOUN ap-10679 42 34 . . PUNCT ap-10679 43 1 the the DET ap-10679 43 2 first first ADJ ap-10679 43 3 one one NOUN ap-10679 43 4 is be AUX ap-10679 43 5 a a DET ap-10679 43 6 unitary unitary ADJ ap-10679 43 7 transformation transformation NOUN ap-10679 43 8 between between ADP ap-10679 43 9 two two NUM ap-10679 43 10 given give VERB ap-10679 43 11 states state NOUN ap-10679 43 12 ( ( PUNCT ap-10679 43 13 the the DET ap-10679 43 14 source source NOUN ap-10679 43 15 and and CCONJ ap-10679 43 16 the the DET ap-10679 43 17 target target NOUN ap-10679 43 18 ) ) PUNCT ap-10679 43 19 , , PUNCT ap-10679 43 20 the the DET ap-10679 43 21 other other ADJ ap-10679 43 22 one one NOUN ap-10679 43 23 is be AUX ap-10679 43 24 the the DET ap-10679 43 25 projection projection NOUN ap-10679 43 26 of of ADP ap-10679 43 27 the the DET ap-10679 43 28 desired desire VERB ap-10679 43 29 state state NOUN ap-10679 43 30 from from ADP ap-10679 43 31 an an DET ap-10679 43 32 ensemble ensemble NOUN ap-10679 43 33 of of ADP ap-10679 43 34 states state NOUN ap-10679 43 35 [ [ X ap-10679 43 36 7 7 NUM ap-10679 43 37 ] ] PUNCT ap-10679 43 38 . . PUNCT ap-10679 44 1 as as ADP ap-10679 44 2 a a DET ap-10679 44 3 third third ADJ ap-10679 44 4 case case NOUN ap-10679 44 5 we we PRON ap-10679 44 6 could could AUX ap-10679 44 7 point point VERB ap-10679 44 8 out out ADP ap-10679 44 9 the the DET ap-10679 44 10 shaping shaping NOUN ap-10679 44 11 of of ADP ap-10679 44 12 a a DET ap-10679 44 13 specially specially ADV ap-10679 44 14 chosen choose VERB ap-10679 44 15 potential potential NOUN ap-10679 44 16 in in ADP ap-10679 44 17 which which PRON ap-10679 44 18 the the DET ap-10679 44 19 desired desire VERB ap-10679 44 20 state state NOUN ap-10679 44 21 ( ( PUNCT ap-10679 44 22 wave wave NOUN ap-10679 44 23 function function NOUN ap-10679 44 24 ) ) PUNCT ap-10679 44 25 would would AUX ap-10679 44 26 be be AUX ap-10679 44 27 defined define VERB ap-10679 44 28 [ [ PUNCT ap-10679 44 29 8 8 NUM ap-10679 44 30 ] ] PUNCT ap-10679 44 31 . . PUNCT ap-10679 45 1 however however ADV ap-10679 45 2 , , PUNCT ap-10679 45 3 this this DET ap-10679 45 4 implementation implementation NOUN ap-10679 45 5 is be AUX ap-10679 45 6 technically technically ADV ap-10679 45 7 quite quite ADV ap-10679 45 8 difficult difficult ADJ ap-10679 45 9 to to PART ap-10679 45 10 realize realize VERB ap-10679 45 11 and and CCONJ ap-10679 45 12 implicitly implicitly ADV ap-10679 45 13 incorporates incorporate VERB ap-10679 45 14 the the DET ap-10679 45 15 two two NUM ap-10679 45 16 previous previous ADJ ap-10679 45 17 ones one NOUN ap-10679 45 18 . . PUNCT ap-10679 46 1 the the DET ap-10679 46 2 first first ADJ ap-10679 46 3 case case NOUN ap-10679 46 4 is be AUX ap-10679 46 5 a a DET ap-10679 46 6 unitary unitary ADJ ap-10679 46 7 transformation transformation NOUN ap-10679 46 8 of of ADP ap-10679 46 9 an an DET ap-10679 46 10 initial initial ADJ ap-10679 46 11 state state NOUN ap-10679 46 12 . . PUNCT ap-10679 47 1 let let VERB ap-10679 47 2 us we PRON ap-10679 47 3 suppose suppose VERB ap-10679 47 4 we we PRON ap-10679 47 5 wish wish VERB ap-10679 47 6 to to PART ap-10679 47 7 generate generate VERB ap-10679 47 8 the the DET ap-10679 47 9 target target NOUN ap-10679 47 10 state state NOUN ap-10679 47 11 |ψout⟩. |ψout⟩. PRON ap-10679 47 12 to to PART ap-10679 47 13 generate generate VERB ap-10679 47 14 this this DET ap-10679 47 15 particular particular ADJ ap-10679 47 16 state state NOUN ap-10679 47 17 by by ADP ap-10679 47 18 unitary unitary ADJ ap-10679 47 19 transformation transformation NOUN ap-10679 47 20 we we PRON ap-10679 47 21 have have VERB ap-10679 47 22 to to PART ap-10679 47 23 specify specify VERB ap-10679 47 24 the the DET ap-10679 47 25 initial initial ADJ ap-10679 47 26 state state NOUN ap-10679 47 27 |ψi⟩ |ψi⟩ NOUN ap-10679 47 28 and and CCONJ ap-10679 47 29 the the DET ap-10679 47 30 unitary unitary ADJ ap-10679 47 31 transformation transformation NOUN ap-10679 47 32 û û NUM ap-10679 47 33 . . PUNCT ap-10679 48 1 the the DET ap-10679 48 2 two two NUM ap-10679 48 3 states state NOUN ap-10679 48 4 are be AUX ap-10679 48 5 then then ADV ap-10679 48 6 related relate VERB ap-10679 48 7 : : PUNCT ap-10679 48 8 |ψout⟩ |ψout⟩ PROPN ap-10679 48 9 = = SYM ap-10679 48 10 û û X ap-10679 48 11 |ψi⟩. |ψi⟩. NUM ap-10679 48 12 ( ( PUNCT ap-10679 48 13 1 1 NUM ap-10679 48 14 ) ) PUNCT ap-10679 48 15 the the DET ap-10679 48 16 problem problem NOUN ap-10679 48 17 to to PART ap-10679 48 18 get get VERB ap-10679 48 19 the the DET ap-10679 48 20 final final ADJ ap-10679 48 21 state state NOUN ap-10679 48 22 is be AUX ap-10679 48 23 transferred transfer VERB ap-10679 48 24 to to ADP ap-10679 48 25 the the DET ap-10679 48 26 choice choice NOUN ap-10679 48 27 of of ADP ap-10679 48 28 the the DET ap-10679 48 29 initial initial ADJ ap-10679 48 30 state state NOUN ap-10679 48 31 and and CCONJ ap-10679 48 32 the the DET ap-10679 48 33 transformation transformation NOUN ap-10679 48 34 operator operator NOUN ap-10679 48 35 . . PUNCT ap-10679 49 1 let let VERB ap-10679 49 2 us we PRON ap-10679 49 3 , , PUNCT ap-10679 49 4 for for ADP ap-10679 49 5 the the DET ap-10679 49 6 illustration illustration NOUN ap-10679 49 7 , , PUNCT ap-10679 49 8 limit limit VERB ap-10679 49 9 our our PRON ap-10679 49 10 consideration consideration NOUN ap-10679 49 11 to to ADP ap-10679 49 12 optical optical ADJ ap-10679 49 13 field field NOUN ap-10679 49 14 or or CCONJ ap-10679 49 15 to to PART ap-10679 49 16 harmonic harmonic VERB ap-10679 49 17 oscillators oscillator NOUN ap-10679 49 18 . . PUNCT ap-10679 50 1 as as ADP ap-10679 50 2 a a DET ap-10679 50 3 natural natural ADJ ap-10679 50 4 choice choice NOUN ap-10679 50 5 we we PRON ap-10679 50 6 can can AUX ap-10679 50 7 choose choose VERB ap-10679 50 8 the the DET ap-10679 50 9 vacuum vacuum NOUN ap-10679 50 10 state state NOUN ap-10679 50 11 of of ADP ap-10679 50 12 the the DET ap-10679 50 13 harmonic harmonic ADJ ap-10679 50 14 oscillator oscillator NOUN ap-10679 50 15 |0⟩ |0⟩ NOUN ap-10679 50 16 for for ADP ap-10679 50 17 the the DET ap-10679 50 18 initial initial ADJ ap-10679 50 19 state state NOUN ap-10679 50 20 |ψi⟩. |ψi⟩. NUM ap-10679 50 21 then then ADV ap-10679 50 22 we we PRON ap-10679 50 23 have have VERB ap-10679 50 24 to to PART ap-10679 50 25 specify specify VERB ap-10679 50 26 the the DET ap-10679 50 27 unitary unitary ADJ ap-10679 50 28 transformation transformation NOUN ap-10679 50 29 with with ADP ap-10679 50 30 respect respect NOUN ap-10679 50 31 to to ADP ap-10679 50 32 this this DET ap-10679 50 33 choice choice NOUN ap-10679 50 34 . . PUNCT ap-10679 51 1 in in ADP ap-10679 51 2 quantum quantum NOUN ap-10679 51 3 optics optic NOUN ap-10679 51 4 a a DET ap-10679 51 5 large large ADJ ap-10679 51 6 class class NOUN ap-10679 51 7 of of ADP ap-10679 51 8 final final ADJ ap-10679 51 9 states state NOUN ap-10679 51 10 is be AUX ap-10679 51 11 easily easily ADV ap-10679 51 12 related relate VERB ap-10679 51 13 to to ADP ap-10679 51 14 the the DET ap-10679 51 15 vacuum vacuum NOUN ap-10679 51 16 . . PUNCT ap-10679 52 1 these these PRON ap-10679 52 2 are be AUX ap-10679 52 3 the the DET ap-10679 52 4 coherent coherent ADJ ap-10679 52 5 and and CCONJ ap-10679 52 6 squeezed squeeze VERB ap-10679 52 7 states state NOUN ap-10679 52 8 [ [ X ap-10679 52 9 9 9 NUM ap-10679 52 10 ] ] PUNCT ap-10679 52 11 . . PUNCT ap-10679 53 1 the the DET ap-10679 53 2 unitary unitary ADJ ap-10679 53 3 operators operator NOUN ap-10679 53 4 in in ADP ap-10679 53 5 the the DET ap-10679 53 6 first first ADJ ap-10679 53 7 case case NOUN ap-10679 53 8 is be AUX ap-10679 53 9 : : PUNCT ap-10679 53 10 û û PROPN ap-10679 53 11 = = SYM ap-10679 53 12 exp{α↠exp{α↠PROPN ap-10679 53 13 − − PROPN ap-10679 53 14 α∗â α∗â NOUN ap-10679 53 15 } } PUNCT ap-10679 53 16 , , PUNCT ap-10679 53 17 ( ( PUNCT ap-10679 53 18 2 2 X ap-10679 53 19 ) ) PUNCT ap-10679 53 20 where where SCONJ ap-10679 53 21 â â ADJ ap-10679 53 22 , , PUNCT ap-10679 53 23 ↠↠ADJ ap-10679 53 24 are be AUX ap-10679 53 25 the the DET ap-10679 53 26 annihilation annihilation NOUN ap-10679 53 27 and and CCONJ ap-10679 53 28 creation creation NOUN ap-10679 53 29 operators operator NOUN ap-10679 53 30 of of ADP ap-10679 53 31 the the DET ap-10679 53 32 harmonic harmonic ADJ ap-10679 53 33 oscillator oscillator NOUN ap-10679 53 34 . . PUNCT ap-10679 54 1 for for ADP ap-10679 54 2 the the DET ap-10679 54 3 squeezed squeeze VERB ap-10679 54 4 states state NOUN ap-10679 54 5 the the DET ap-10679 54 6 transformation transformation NOUN ap-10679 54 7 is be AUX ap-10679 54 8 defined define VERB ap-10679 54 9 as as ADP ap-10679 54 10 : : PUNCT ap-10679 54 11 û û NUM ap-10679 54 12 = = NOUN ap-10679 54 13 exp{ηâ†2 exp{ηâ†2 NOUN ap-10679 54 14 − − PROPN ap-10679 54 15 η∗â2 η∗â2 NOUN ap-10679 54 16 } } PUNCT ap-10679 54 17 . . PUNCT ap-10679 55 1 ( ( PUNCT ap-10679 55 2 3 3 X ap-10679 55 3 ) ) PUNCT ap-10679 55 4 both both DET ap-10679 55 5 transformations transformation NOUN ap-10679 55 6 can can AUX ap-10679 55 7 be be AUX ap-10679 55 8 induced induce VERB ap-10679 55 9 by by ADP ap-10679 55 10 a a DET ap-10679 55 11 hamiltonian hamiltonian NOUN ap-10679 55 12 that that PRON ap-10679 55 13 is be AUX ap-10679 55 14 at at ADP ap-10679 55 15 most most ADJ ap-10679 55 16 quadratic quadratic ADJ ap-10679 55 17 in in ADP ap-10679 55 18 the the DET ap-10679 55 19 annihilation annihilation NOUN ap-10679 55 20 and and CCONJ ap-10679 55 21 creation creation NOUN ap-10679 55 22 operators operator NOUN ap-10679 55 23 : : PUNCT ap-10679 55 24 ĥ ĥ PROPN ap-10679 55 25 = = PUNCT ap-10679 55 26 κl(â+ κl(â+ VERB ap-10679 55 27 ↠↠ADJ ap-10679 55 28 ) ) PUNCT ap-10679 55 29 + + CCONJ ap-10679 55 30 κn(â2 κn(â2 NOUN ap-10679 55 31 + + CCONJ ap-10679 55 32 â†2 â†2 NOUN ap-10679 55 33 ) ) PUNCT ap-10679 55 34 ( ( PUNCT ap-10679 55 35 4 4 X ap-10679 55 36 ) ) PUNCT ap-10679 55 37 and and CCONJ ap-10679 55 38 describes describe VERB ap-10679 55 39 the the DET ap-10679 55 40 two two NUM ap-10679 55 41 basic basic ADJ ap-10679 55 42 ( ( PUNCT ap-10679 55 43 effective effective ADJ ap-10679 55 44 ) ) PUNCT ap-10679 55 45 models model NOUN ap-10679 55 46 in in ADP ap-10679 55 47 quantum quantum ADJ ap-10679 55 48 optics optic NOUN ap-10679 55 49 – – PUNCT ap-10679 55 50 the the DET ap-10679 55 51 driven drive VERB ap-10679 55 52 oscillator oscillator NOUN ap-10679 55 53 and and CCONJ ap-10679 55 54 the the DET ap-10679 55 55 parametric parametric ADJ ap-10679 55 56 down down ADP ap-10679 55 57 - - PUNCT ap-10679 55 58 conversion conversion NOUN ap-10679 55 59 . . PUNCT ap-10679 56 1 in in ADP ap-10679 56 2 both both DET ap-10679 56 3 cases case NOUN ap-10679 56 4 we we PRON ap-10679 56 5 deal deal VERB ap-10679 56 6 with with ADP ap-10679 56 7 parametric parametric ADJ ap-10679 56 8 processes process NOUN ap-10679 56 9 , , PUNCT ap-10679 56 10 i.e. i.e. X ap-10679 56 11 a a DET ap-10679 56 12 strong strong ADJ ap-10679 56 13 external external ADJ ap-10679 56 14 field field NOUN ap-10679 56 15 drives drive VERB ap-10679 56 16 a a DET ap-10679 56 17 medium medium NOUN ap-10679 56 18 that that PRON ap-10679 56 19 can can AUX ap-10679 56 20 be be AUX ap-10679 56 21 effectively effectively ADV ap-10679 56 22 described describe VERB ap-10679 56 23 by by ADP ap-10679 56 24 the the DET ap-10679 56 25 hamiltonian hamiltonian NOUN ap-10679 56 26 just just ADV ap-10679 56 27 given give VERB ap-10679 56 28 . . PUNCT ap-10679 57 1 in in ADP ap-10679 57 2 general general ADJ ap-10679 57 3 , , PUNCT ap-10679 57 4 the the DET ap-10679 57 5 basic basic ADJ ap-10679 57 6 limitation limitation NOUN ap-10679 57 7 of of ADP ap-10679 57 8 this this DET ap-10679 57 9 method method NOUN ap-10679 57 10 is be AUX ap-10679 57 11 the the DET ap-10679 57 12 rather rather ADV ap-10679 57 13 limited limited ADJ ap-10679 57 14 spectrum spectrum NOUN ap-10679 57 15 of of ADP ap-10679 57 16 interaction interaction NOUN ap-10679 57 17 that that PRON ap-10679 57 18 can can AUX ap-10679 57 19 be be AUX ap-10679 57 20 used use VERB ap-10679 57 21 and and CCONJ ap-10679 57 22 so so ADV ap-10679 57 23 this this DET ap-10679 57 24 limits limit NOUN ap-10679 57 25 also also ADV ap-10679 57 26 the the DET ap-10679 57 27 possible possible ADJ ap-10679 57 28 states state NOUN ap-10679 57 29 |ψout⟩. |ψout⟩. ADP ap-10679 57 30 the the DET ap-10679 57 31 interactions interaction NOUN ap-10679 57 32 are be AUX ap-10679 57 33 mainly mainly ADV ap-10679 57 34 bounded bound VERB ap-10679 57 35 by by ADP ap-10679 57 36 the the DET ap-10679 57 37 possibilities possibility NOUN ap-10679 57 38 of of ADP ap-10679 57 39 atom atom NOUN ap-10679 57 40 field field NOUN ap-10679 57 41 interaction interaction NOUN ap-10679 57 42 . . PUNCT ap-10679 58 1 in in ADP ap-10679 58 2 addition addition NOUN ap-10679 58 3 , , PUNCT ap-10679 58 4 when when SCONJ ap-10679 58 5 a a DET ap-10679 58 6 certain certain ADJ ap-10679 58 7 type type NOUN ap-10679 58 8 of of ADP ap-10679 58 9 interaction interaction NOUN ap-10679 58 10 is be AUX ap-10679 58 11 allowed allow VERB ap-10679 58 12 , , PUNCT ap-10679 58 13 it it PRON ap-10679 58 14 needs need VERB ap-10679 58 15 not not PART ap-10679 58 16 to to PART ap-10679 58 17 be be AUX ap-10679 58 18 very very ADV ap-10679 58 19 efficient efficient ADJ ap-10679 58 20 , , PUNCT ap-10679 58 21 i.e. i.e. X ap-10679 58 22 it it PRON ap-10679 58 23 might might AUX ap-10679 58 24 be be AUX ap-10679 58 25 difficult difficult ADJ ap-10679 58 26 to to PART ap-10679 58 27 obtain obtain VERB ap-10679 58 28 ( ( PUNCT ap-10679 58 29 from from ADP ap-10679 58 30 the the DET ap-10679 58 31 experimentalists experimentalist NOUN ap-10679 58 32 point point NOUN ap-10679 58 33 of of ADP ap-10679 58 34 view view NOUN ap-10679 58 35 ) ) PUNCT ap-10679 58 36 a a DET ap-10679 58 37 “ " PUNCT ap-10679 58 38 strong strong ADJ ap-10679 58 39 enough enough ADJ ap-10679 58 40 output output NOUN ap-10679 58 41 ” " PUNCT ap-10679 58 42 . . PUNCT ap-10679 59 1 the the DET ap-10679 59 2 second second ADJ ap-10679 59 3 possibility possibility NOUN ap-10679 59 4 is be AUX ap-10679 59 5 the the DET ap-10679 59 6 use use NOUN ap-10679 59 7 of of ADP ap-10679 59 8 projection projection NOUN ap-10679 59 9 techniques technique NOUN ap-10679 59 10 . . PUNCT ap-10679 60 1 this this DET ap-10679 60 2 method method NOUN ap-10679 60 3 is be AUX ap-10679 60 4 commonly commonly ADV ap-10679 60 5 used use VERB ap-10679 60 6 in in ADP ap-10679 60 7 cavity cavity NOUN ap-10679 60 8 electrodynamics electrodynamics NOUN ap-10679 60 9 experiments experiment NOUN ap-10679 60 10 . . PUNCT ap-10679 61 1 the the DET ap-10679 61 2 first first ADJ ap-10679 61 3 step step NOUN ap-10679 61 4 is be AUX ap-10679 61 5 the the DET ap-10679 61 6 preparation preparation NOUN ap-10679 61 7 of of ADP ap-10679 61 8 an an DET ap-10679 61 9 appropriate appropriate ADJ ap-10679 61 10 state state NOUN ap-10679 61 11 . . PUNCT ap-10679 62 1 let let VERB ap-10679 62 2 us we PRON ap-10679 62 3 assume assume VERB ap-10679 62 4 we we PRON ap-10679 62 5 have have VERB ap-10679 62 6 a a DET ap-10679 62 7 state state NOUN ap-10679 62 8 |ψi⟩ |ψi⟩ NOUN ap-10679 62 9 and and CCONJ ap-10679 62 10 we we PRON ap-10679 62 11 wish wish VERB ap-10679 62 12 to to PART ap-10679 62 13 prepare prepare VERB ap-10679 62 14 a a DET ap-10679 62 15 state state NOUN ap-10679 62 16 |ϕ⟩. |ϕ⟩. NUM ap-10679 62 17 the the DET ap-10679 62 18 initial initial ADJ ap-10679 62 19 state state NOUN ap-10679 62 20 can can AUX ap-10679 62 21 be be AUX ap-10679 62 22 in in ADP ap-10679 62 23 the the DET ap-10679 62 24 number number NOUN ap-10679 62 25 state state NOUN ap-10679 62 26 basis basis NOUN ap-10679 62 27 expressed express VERB ap-10679 62 28 in in ADP ap-10679 62 29 the the DET ap-10679 62 30 form form NOUN ap-10679 62 31 : : PUNCT ap-10679 62 32 |ψi⟩ |ψi⟩ PROPN ap-10679 62 33 = = PUNCT ap-10679 62 34 ∞∑ ∞∑ PROPN ap-10679 62 35 n=0 n=0 NUM ap-10679 62 36 cn|n⟩. cn|n⟩. X ap-10679 62 37 ( ( PUNCT ap-10679 62 38 5 5 NUM ap-10679 62 39 ) ) PUNCT ap-10679 62 40 by by ADP ap-10679 62 41 applying apply VERB ap-10679 62 42 a a DET ap-10679 62 43 projection projection NOUN ap-10679 62 44 operator operator NOUN ap-10679 62 45 |ϕ⟩⟨ϕ| |ϕ⟩⟨ϕ| PROPN ap-10679 62 46 on on ADP ap-10679 62 47 the the DET ap-10679 62 48 state state NOUN ap-10679 62 49 |ψ⟩ |ψ⟩ PROPN ap-10679 62 50 we we PRON ap-10679 62 51 can can AUX ap-10679 62 52 project project VERB ap-10679 62 53 out out ADP ap-10679 62 54 the the DET ap-10679 62 55 desired desire VERB ap-10679 62 56 number number NOUN ap-10679 62 57 state state NOUN ap-10679 62 58 . . PUNCT ap-10679 63 1 in in ADP ap-10679 63 2 the the DET ap-10679 63 3 optical optical ADJ ap-10679 63 4 domain domain NOUN ap-10679 63 5 it it PRON ap-10679 63 6 is be AUX ap-10679 63 7 almost almost ADV ap-10679 63 8 impossible impossible ADJ ap-10679 63 9 to to PART ap-10679 63 10 realize realize VERB ap-10679 63 11 such such ADJ ap-10679 63 12 general general ADJ ap-10679 63 13 projectors projector NOUN ap-10679 63 14 . . PUNCT ap-10679 64 1 to to PART ap-10679 64 2 manipulate manipulate VERB ap-10679 64 3 state state NOUN ap-10679 64 4 by by ADP ap-10679 64 5 projection projection NOUN ap-10679 64 6 techniques technique NOUN ap-10679 64 7 is be AUX ap-10679 64 8 an an DET ap-10679 64 9 alternative alternative ADJ ap-10679 64 10 used use VERB ap-10679 64 11 way way NOUN ap-10679 64 12 . . PUNCT ap-10679 65 1 the the DET ap-10679 65 2 field field NOUN ap-10679 65 3 to to PART ap-10679 65 4 be be AUX ap-10679 65 5 manipulated manipulate VERB ap-10679 65 6 is be AUX ap-10679 65 7 coupled couple VERB ap-10679 65 8 to to ADP ap-10679 65 9 another another DET ap-10679 65 10 system system NOUN ap-10679 65 11 ( ( PUNCT ap-10679 65 12 atom atom NOUN ap-10679 65 13 ) ) PUNCT ap-10679 65 14 and and CCONJ ap-10679 65 15 by by ADP ap-10679 65 16 projecting project VERB ap-10679 65 17 ( ( PUNCT ap-10679 65 18 manipulating manipulate VERB ap-10679 65 19 ) ) PUNCT ap-10679 65 20 on on ADP ap-10679 65 21 the the DET ap-10679 65 22 atoms atom NOUN ap-10679 65 23 we we PRON ap-10679 65 24 reshape reshape VERB ap-10679 65 25 the the DET ap-10679 65 26 field field NOUN ap-10679 65 27 state state NOUN ap-10679 65 28 . . PUNCT ap-10679 66 1 the the DET ap-10679 66 2 basic basic ADJ ap-10679 66 3 model model NOUN ap-10679 66 4 of of ADP ap-10679 66 5 atom atom NOUN ap-10679 66 6 field field NOUN ap-10679 66 7 interaction interaction NOUN ap-10679 66 8 in in ADP ap-10679 66 9 a a DET ap-10679 66 10 cavity cavity NOUN ap-10679 66 11 is be AUX ap-10679 66 12 the the DET ap-10679 66 13 jaynescumming jaynescumming NOUN ap-10679 66 14 model model NOUN ap-10679 66 15 [ [ X ap-10679 66 16 10 10 NUM ap-10679 66 17 , , PUNCT ap-10679 66 18 11 11 NUM ap-10679 66 19 ] ] PUNCT ap-10679 66 20 . . PUNCT ap-10679 67 1 it it PRON ap-10679 67 2 describes describe VERB ap-10679 67 3 the the DET ap-10679 67 4 interaction interaction NOUN ap-10679 67 5 of of ADP ap-10679 67 6 a a DET ap-10679 67 7 two two NUM ap-10679 67 8 - - PUNCT ap-10679 67 9 level level NOUN ap-10679 67 10 atom atom NOUN ap-10679 67 11 with with ADP ap-10679 67 12 a a DET ap-10679 67 13 single single ADJ ap-10679 67 14 – – PUNCT ap-10679 67 15 mode mode NOUN ap-10679 67 16 cavity cavity NOUN ap-10679 67 17 field field NOUN ap-10679 67 18 . . PUNCT ap-10679 68 1 the the DET ap-10679 68 2 ( ( PUNCT ap-10679 68 3 interaction interaction NOUN ap-10679 68 4 ) ) PUNCT ap-10679 68 5 hamiltonian hamiltonian NOUN ap-10679 68 6 has have VERB ap-10679 68 7 the the DET ap-10679 68 8 form form NOUN ap-10679 68 9 : : PUNCT ap-10679 68 10 ĥ ĥ PROPN ap-10679 68 11 = = PROPN ap-10679 68 12 κ(âσ++ κ(âσ++ PROPN ap-10679 68 13 â†σ− â†σ− PROPN ap-10679 68 14 ) ) PUNCT ap-10679 68 15 . . PUNCT ap-10679 69 1 ( ( PUNCT ap-10679 69 2 6 6 NUM ap-10679 69 3 ) ) PUNCT ap-10679 69 4 for for ADP ap-10679 69 5 an an DET ap-10679 69 6 initially initially ADV ap-10679 69 7 excited excited ADJ ap-10679 69 8 atom atom NOUN ap-10679 69 9 ( ( PUNCT ap-10679 69 10 described describe VERB ap-10679 69 11 by by ADP ap-10679 69 12 the the DET ap-10679 69 13 state state NOUN ap-10679 69 14 |+⟩ |+⟩ PROPN ap-10679 69 15 ) ) PUNCT ap-10679 69 16 and and CCONJ ap-10679 69 17 a a DET ap-10679 69 18 cavity cavity NOUN ap-10679 69 19 field field NOUN ap-10679 69 20 with with ADP ap-10679 69 21 the the DET ap-10679 69 22 number number NOUN ap-10679 69 23 state state NOUN ap-10679 69 24 expansion expansion NOUN ap-10679 69 25 |ψc⟩ |ψc⟩ AUX ap-10679 69 26 = = PUNCT ap-10679 69 27 ∑ ∑ PART ap-10679 69 28 cn|n⟩ cn|n⟩ VERB ap-10679 69 29 the the DET ap-10679 69 30 state state NOUN ap-10679 69 31 of of ADP ap-10679 69 32 the the DET ap-10679 69 33 whole whole ADJ ap-10679 69 34 system system NOUN ap-10679 69 35 at at ADP ap-10679 69 36 time time NOUN ap-10679 69 37 t t PROPN ap-10679 69 38 is be AUX ap-10679 69 39 given give VERB ap-10679 69 40 as as ADP ap-10679 69 41 : : PUNCT ap-10679 69 42 |ψ(t)⟩ |ψ(t)⟩ PROPN ap-10679 69 43 = = SYM ap-10679 69 44 exp(−iĥt)|ψ(0)⟩ exp(−iĥt)|ψ(0)⟩ PROPN ap-10679 69 45 = = PUNCT ap-10679 70 1 ∞∑ ∞∑ ADJ ap-10679 70 2 n=0 n=0 NUM ap-10679 70 3 cn{cos(κ cn{cos(κ NOUN ap-10679 70 4 √ √ NUM ap-10679 70 5 n+ n+ PUNCT ap-10679 70 6 1t)|n⟩|+⟩ 1t)|n⟩|+⟩ NUM ap-10679 70 7 − − NOUN ap-10679 71 1 i i PRON ap-10679 71 2 sin(κ sin(κ VERB ap-10679 71 3 √ √ NUM ap-10679 71 4 n+ n+ PUNCT ap-10679 71 5 1t)|n+ 1t)|n+ PROPN ap-10679 71 6 1⟩|−⟩ 1⟩|−⟩ NUM ap-10679 71 7 } } PUNCT ap-10679 71 8 . . PUNCT ap-10679 72 1 ( ( PUNCT ap-10679 72 2 7 7 X ap-10679 72 3 ) ) PUNCT ap-10679 72 4 when when SCONJ ap-10679 72 5 me i PRON ap-10679 72 6 measure measure VERB ap-10679 72 7 the the DET ap-10679 72 8 atom atom NOUN ap-10679 72 9 in in ADP ap-10679 72 10 the the DET ap-10679 72 11 excited excited ADJ ap-10679 72 12 state state NOUN ap-10679 72 13 the the DET ap-10679 72 14 field field NOUN ap-10679 72 15 collapses collapse VERB ap-10679 72 16 into into ADP ap-10679 72 17 the the DET ap-10679 72 18 corresponding corresponding ADJ ap-10679 72 19 state state NOUN ap-10679 72 20 : : PUNCT ap-10679 72 21 |ψ(t)⟩ |ψ(t)⟩ PROPN ap-10679 72 22 = = PUNCT ap-10679 73 1 ∞∑ ∞∑ PROPN ap-10679 73 2 n=0 n=0 NUM ap-10679 73 3 cn cn NOUN ap-10679 74 1 cos(κ cos(κ NOUN ap-10679 74 2 √ √ NUM ap-10679 74 3 n+ n+ NUM ap-10679 74 4 1t)|n⟩. 1t)|n⟩. NUM ap-10679 74 5 ( ( PUNCT ap-10679 74 6 8) 8) NUM ap-10679 74 7 for for ADP ap-10679 74 8 a a DET ap-10679 74 9 strong strong ADJ ap-10679 74 10 enough enough ADJ ap-10679 74 11 initial initial ADJ ap-10679 74 12 coherent coherent ADJ ap-10679 74 13 state state NOUN ap-10679 74 14 ( ( PUNCT ap-10679 74 15 choice choice NOUN ap-10679 74 16 of of ADP ap-10679 74 17 the the DET ap-10679 74 18 expansion expansion NOUN ap-10679 74 19 parameters parameter NOUN ap-10679 74 20 cn cn PROPN ap-10679 74 21 ) ) PUNCT ap-10679 74 22 and and CCONJ ap-10679 74 23 sufficient sufficient ADJ ap-10679 74 24 interaction interaction NOUN ap-10679 74 25 time time NOUN ap-10679 74 26 the the DET ap-10679 74 27 just just ADV ap-10679 74 28 given give VERB ap-10679 74 29 state state NOUN ap-10679 74 30 can can AUX ap-10679 74 31 be be AUX ap-10679 74 32 expressed express VERB ap-10679 74 33 as as ADP ap-10679 74 34 a a DET ap-10679 74 35 superposition superposition NOUN ap-10679 74 36 of of ADP ap-10679 74 37 two two NUM ap-10679 74 38 coherent coherent ADJ ap-10679 74 39 states state NOUN ap-10679 74 40 with with ADP ap-10679 74 41 identical identical ADJ ap-10679 74 42 absolute absolute ADJ ap-10679 74 43 value value NOUN ap-10679 74 44 of of ADP ap-10679 74 45 the the DET ap-10679 74 46 amplitude amplitude NOUN ap-10679 74 47 but but CCONJ ap-10679 74 48 with with ADP ap-10679 74 49 different different ADJ ap-10679 74 50 phases phase NOUN ap-10679 74 51 , , PUNCT ap-10679 74 52 i.e. i.e. X ap-10679 74 53 it it PRON ap-10679 74 54 has have VERB ap-10679 74 55 the the DET ap-10679 74 56 form form NOUN ap-10679 74 57 of of ADP ap-10679 74 58 a a DET ap-10679 74 59 “ " PUNCT ap-10679 74 60 schödinger schödinger NOUN ap-10679 74 61 cat cat NOUN ap-10679 74 62 ” " PUNCT ap-10679 74 63 . . PUNCT ap-10679 75 1 the the DET ap-10679 75 2 just just ADV ap-10679 75 3 described describe VERB ap-10679 75 4 procedure procedure NOUN ap-10679 75 5 gives give VERB ap-10679 75 6 the the DET ap-10679 75 7 heart heart NOUN ap-10679 75 8 of of ADP ap-10679 75 9 the the DET ap-10679 75 10 basic basic NOUN ap-10679 75 11 of of ADP ap-10679 75 12 state state NOUN ap-10679 75 13 engineering engineering NOUN ap-10679 75 14 in in ADP ap-10679 75 15 a a DET ap-10679 75 16 cavity cavity NOUN ap-10679 75 17 . . PUNCT ap-10679 76 1 by by ADP ap-10679 76 2 sending send VERB ap-10679 76 3 a a DET ap-10679 76 4 sequence sequence NOUN ap-10679 76 5 of of ADP ap-10679 76 6 atoms atom NOUN ap-10679 76 7 into into ADP ap-10679 76 8 the the DET ap-10679 76 9 cavity cavity NOUN ap-10679 76 10 ( ( PUNCT ap-10679 76 11 not not PART ap-10679 76 12 necessarily necessarily ADV ap-10679 76 13 in in ADP ap-10679 76 14 the the DET ap-10679 76 15 excited excited ADJ ap-10679 76 16 state state NOUN ap-10679 76 17 but but CCONJ ap-10679 76 18 in in ADP ap-10679 76 19 a a DET ap-10679 76 20 controlled control VERB ap-10679 76 21 superposition superposition NOUN ap-10679 76 22 ) ) PUNCT ap-10679 76 23 we we PRON ap-10679 76 24 can can AUX ap-10679 76 25 force force VERB ap-10679 76 26 the the DET ap-10679 76 27 cavity cavity NOUN ap-10679 76 28 field field NOUN ap-10679 76 29 into into ADP ap-10679 76 30 any any DET ap-10679 76 31 prescribed prescribed ADJ ap-10679 76 32 superposition superposition NOUN ap-10679 76 33 . . PUNCT ap-10679 77 1 the the DET ap-10679 77 2 basic basic ADJ ap-10679 77 3 drawback drawback NOUN ap-10679 77 4 of of ADP ap-10679 77 5 this this DET ap-10679 77 6 form form NOUN ap-10679 77 7 of of ADP ap-10679 77 8 engineering engineering NOUN ap-10679 77 9 is be AUX ap-10679 77 10 that that SCONJ ap-10679 77 11 it it PRON ap-10679 77 12 depends depend VERB ap-10679 77 13 crucially crucially ADV ap-10679 77 14 on on ADP ap-10679 77 15 the the DET ap-10679 77 16 outcome outcome NOUN ap-10679 77 17 of of ADP ap-10679 77 18 the the DET ap-10679 77 19 conditional conditional ADJ ap-10679 77 20 measurement measurement NOUN ap-10679 77 21 . . PUNCT ap-10679 78 1 when when SCONJ ap-10679 78 2 the the DET ap-10679 78 3 favourable favourable ADJ ap-10679 78 4 outcome outcome NOUN ap-10679 78 5 is be AUX ap-10679 78 6 not not PART ap-10679 78 7 received receive VERB ap-10679 78 8 we we PRON ap-10679 78 9 have have VERB ap-10679 78 10 to to PART ap-10679 78 11 either either CCONJ ap-10679 78 12 start start VERB ap-10679 78 13 the the DET ap-10679 78 14 whole whole ADJ ap-10679 78 15 procedure procedure NOUN ap-10679 78 16 anew anew ADV ap-10679 78 17 or or CCONJ ap-10679 78 18 we we PRON ap-10679 78 19 have have VERB ap-10679 78 20 to to PART ap-10679 78 21 prepare prepare VERB ap-10679 78 22 the the DET ap-10679 78 23 whole whole ADJ ap-10679 78 24 strategy strategy NOUN ap-10679 78 25 with with ADP ap-10679 78 26 the the DET ap-10679 78 27 inclusion inclusion NOUN ap-10679 78 28 of of ADP ap-10679 78 29 correction correction NOUN ap-10679 78 30 steps step NOUN ap-10679 78 31 which which PRON ap-10679 78 32 naturally naturally ADV ap-10679 78 33 makes make VERB ap-10679 78 34 516 516 NUM ap-10679 78 35 vol vol NOUN ap-10679 78 36 . . PUNCT ap-10679 79 1 65 65 NUM ap-10679 79 2 no no NOUN ap-10679 79 3 . . PUNCT ap-10679 80 1 5/2025 5/2025 NUM ap-10679 80 2 unitary unitary ADJ ap-10679 80 3 generation generation NOUN ap-10679 80 4 of of ADP ap-10679 80 5 ghz ghz NOUN ap-10679 80 6 states state VERB ap-10679 80 7 the the DET ap-10679 80 8 procedure procedure NOUN ap-10679 80 9 longer long ADV ap-10679 80 10 , , PUNCT ap-10679 80 11 because because SCONJ ap-10679 80 12 it it PRON ap-10679 80 13 contains contain VERB ap-10679 80 14 more more ADJ ap-10679 80 15 steps step NOUN ap-10679 80 16 . . PUNCT ap-10679 81 1 this this PRON ap-10679 81 2 can can AUX ap-10679 81 3 make make VERB ap-10679 81 4 the the DET ap-10679 81 5 method method NOUN ap-10679 81 6 more more ADV ap-10679 81 7 fragile fragile ADJ ap-10679 81 8 towards towards ADP ap-10679 81 9 losses loss NOUN ap-10679 81 10 for for ADP ap-10679 81 11 instance instance NOUN ap-10679 81 12 . . PUNCT ap-10679 82 1 in in ADP ap-10679 82 2 the the DET ap-10679 82 3 next next ADJ ap-10679 82 4 section section NOUN ap-10679 82 5 we we PRON ap-10679 82 6 will will AUX ap-10679 82 7 analyse analyse VERB ap-10679 82 8 the the DET ap-10679 82 9 possibility possibility NOUN ap-10679 82 10 to to PART ap-10679 82 11 generate generate VERB ap-10679 82 12 highly highly ADV ap-10679 82 13 entangled entangle VERB ap-10679 82 14 states state NOUN ap-10679 82 15 of of ADP ap-10679 82 16 more more ADJ ap-10679 82 17 then then ADV ap-10679 82 18 two two NUM ap-10679 82 19 “ " PUNCT ap-10679 82 20 particles particle NOUN ap-10679 82 21 ” " PUNCT ap-10679 82 22 using use VERB ap-10679 82 23 methods method NOUN ap-10679 82 24 of of ADP ap-10679 82 25 nonlinear nonlinear ADJ ap-10679 82 26 optics optic NOUN ap-10679 82 27 . . PUNCT ap-10679 83 1 we we PRON ap-10679 83 2 will will AUX ap-10679 83 3 start start VERB ap-10679 83 4 from from ADP ap-10679 83 5 entangled entangled ADJ ap-10679 83 6 pairs pair NOUN ap-10679 83 7 of of ADP ap-10679 83 8 particles particle NOUN ap-10679 83 9 and and CCONJ ap-10679 83 10 ask ask VERB ap-10679 83 11 for for ADP ap-10679 83 12 unitary unitary ADJ ap-10679 83 13 transformations transformation NOUN ap-10679 83 14 that that PRON ap-10679 83 15 enable enable VERB ap-10679 83 16 to to PART ap-10679 83 17 generate generate VERB ap-10679 83 18 chains chain NOUN ap-10679 83 19 of of ADP ap-10679 83 20 this this DET ap-10679 83 21 elementary elementary ADJ ap-10679 83 22 entangled entangle VERB ap-10679 83 23 units unit NOUN ap-10679 83 24 . . PUNCT ap-10679 84 1 3 3 X ap-10679 84 2 . . X ap-10679 84 3 ghz ghz NOUN ap-10679 84 4 state state NOUN ap-10679 84 5 generation generation NOUN ap-10679 84 6 progress progress NOUN ap-10679 84 7 in in ADP ap-10679 84 8 nonlinear nonlinear ADJ ap-10679 84 9 optics optic NOUN ap-10679 84 10 enabled enable VERB ap-10679 84 11 to to PART ap-10679 84 12 generate generate VERB ap-10679 84 13 in in ADP ap-10679 84 14 a a DET ap-10679 84 15 rather rather ADV ap-10679 84 16 efficient efficient ADJ ap-10679 84 17 way way NOUN ap-10679 84 18 entangled entangle VERB ap-10679 84 19 photons photon NOUN ap-10679 84 20 forming form VERB ap-10679 84 21 the the DET ap-10679 84 22 bell bell NOUN ap-10679 84 23 - - PUNCT ap-10679 84 24 pairs pair NOUN ap-10679 84 25 . . PUNCT ap-10679 85 1 the the DET ap-10679 85 2 state state NOUN ap-10679 85 3 is be AUX ap-10679 85 4 generated generate VERB ap-10679 85 5 via via ADP ap-10679 85 6 spontaneous spontaneous ADJ ap-10679 85 7 nondegenerate nondegenerate PROPN ap-10679 85 8 parametric parametric ADJ ap-10679 85 9 down down ADP ap-10679 85 10 - - PUNCT ap-10679 85 11 conversion conversion NOUN ap-10679 85 12 and and CCONJ ap-10679 85 13 can can AUX ap-10679 85 14 be be AUX ap-10679 85 15 used use VERB ap-10679 85 16 for for ADP ap-10679 85 17 the the DET ap-10679 85 18 creation creation NOUN ap-10679 85 19 of of ADP ap-10679 85 20 higher high ADJ ap-10679 85 21 order order NOUN ap-10679 85 22 entangled entangle VERB ap-10679 85 23 states state NOUN ap-10679 85 24 like like ADP ap-10679 85 25 for for ADP ap-10679 85 26 instance instance NOUN ap-10679 85 27 ghz ghz NOUN ap-10679 85 28 states state NOUN ap-10679 85 29 . . PUNCT ap-10679 86 1 in in ADP ap-10679 86 2 the the DET ap-10679 86 3 following following NOUN ap-10679 86 4 we we PRON ap-10679 86 5 will will AUX ap-10679 86 6 identify identify VERB ap-10679 86 7 the the DET ap-10679 86 8 hamiltonian hamiltonian NOUN ap-10679 86 9 that that PRON ap-10679 86 10 enables enable VERB ap-10679 86 11 to to PART ap-10679 86 12 couple couple VERB ap-10679 86 13 entangled entangle VERB ap-10679 86 14 states state NOUN ap-10679 86 15 to to ADP ap-10679 86 16 each each DET ap-10679 86 17 other other ADJ ap-10679 86 18 in in ADP ap-10679 86 19 an an DET ap-10679 86 20 unitary unitary ADJ ap-10679 86 21 fashion fashion NOUN ap-10679 86 22 . . PUNCT ap-10679 87 1 the the DET ap-10679 87 2 bell bell NOUN ap-10679 87 3 - - PUNCT ap-10679 87 4 state state NOUN ap-10679 87 5 emerging emerge VERB ap-10679 87 6 from from ADP ap-10679 87 7 a a DET ap-10679 87 8 nonlinear nonlinear ADJ ap-10679 87 9 crystal crystal NOUN ap-10679 87 10 can can AUX ap-10679 87 11 be be AUX ap-10679 87 12 written write VERB ap-10679 87 13 as as ADP ap-10679 87 14 : : PUNCT ap-10679 87 15 |ψb⟩ |ψb⟩ PROPN ap-10679 87 16 = = SYM ap-10679 87 17 1√ 1√ PROPN ap-10679 87 18 2 2 NUM ap-10679 87 19 { { PUNCT ap-10679 87 20 |↑a⟩|↓b⟩ |↑a⟩|↓b⟩ NOUN ap-10679 87 21 + + NUM ap-10679 87 22 |↓a⟩|↑b⟩ |↓a⟩|↑b⟩ NOUN ap-10679 87 23 } } PUNCT ap-10679 87 24 , , PUNCT ap-10679 87 25 ( ( PUNCT ap-10679 87 26 9 9 X ap-10679 87 27 ) ) PUNCT ap-10679 87 28 where where SCONJ ap-10679 87 29 the the DET ap-10679 87 30 states state NOUN ap-10679 87 31 |↑x⟩ |↑x⟩ PROPN ap-10679 87 32 , , PUNCT ap-10679 87 33 |↓x⟩ |↓x⟩ PROPN ap-10679 87 34 describe describe VERB ap-10679 87 35 the the DET ap-10679 87 36 polarization polarization NOUN ap-10679 87 37 state state NOUN ap-10679 87 38 of of ADP ap-10679 87 39 the the DET ap-10679 87 40 entangled entangle VERB ap-10679 87 41 modes mode NOUN ap-10679 87 42 a a PRON ap-10679 87 43 and and CCONJ ap-10679 87 44 b. b. VERB ap-10679 87 45 the the DET ap-10679 87 46 bell bell NOUN ap-10679 87 47 - - PUNCT ap-10679 87 48 pair pair NOUN ap-10679 87 49 state state NOUN ap-10679 87 50 can can AUX ap-10679 87 51 be be AUX ap-10679 87 52 rewritten rewrite VERB ap-10679 87 53 in in ADP ap-10679 87 54 the the DET ap-10679 87 55 ( ( PUNCT ap-10679 87 56 scalar scalar ADJ ap-10679 87 57 ) ) PUNCT ap-10679 87 58 harmonic harmonic ADJ ap-10679 87 59 oscillator oscillator NOUN ap-10679 87 60 bases basis NOUN ap-10679 87 61 . . PUNCT ap-10679 88 1 we we PRON ap-10679 88 2 use use VERB ap-10679 88 3 always always ADV ap-10679 88 4 two two NUM ap-10679 88 5 scalar scalar ADJ ap-10679 88 6 modes mode NOUN ap-10679 88 7 for for ADP ap-10679 88 8 one one NUM ap-10679 88 9 mode mode NOUN ap-10679 88 10 with with ADP ap-10679 88 11 polarization polarization NOUN ap-10679 88 12 . . PUNCT ap-10679 89 1 the the DET ap-10679 89 2 bell bell PROPN ap-10679 89 3 state state NOUN ap-10679 89 4 can can AUX ap-10679 89 5 be be AUX ap-10679 89 6 written write VERB ap-10679 89 7 as as ADP ap-10679 89 8 : : PUNCT ap-10679 89 9 |ψb⟩ |ψb⟩ PROPN ap-10679 89 10 = = SYM ap-10679 89 11 1√ 1√ PROPN ap-10679 89 12 2 2 NUM ap-10679 89 13 { { PUNCT ap-10679 89 14 |11⟩|02⟩|13⟩|04⟩ |11⟩|02⟩|13⟩|04⟩ X ap-10679 89 15 + + CCONJ ap-10679 89 16 |01⟩|12⟩|03⟩|14⟩ |01⟩|12⟩|03⟩|14⟩ VERB ap-10679 89 17 } } PUNCT ap-10679 89 18 . . PUNCT ap-10679 90 1 ( ( PUNCT ap-10679 90 2 10 10 NUM ap-10679 90 3 ) ) PUNCT ap-10679 90 4 we we PRON ap-10679 90 5 assume assume VERB ap-10679 90 6 that that SCONJ ap-10679 90 7 we we PRON ap-10679 90 8 are be AUX ap-10679 90 9 able able ADJ ap-10679 90 10 to to PART ap-10679 90 11 mix mix VERB ap-10679 90 12 this this DET ap-10679 90 13 field field NOUN ap-10679 90 14 with with ADP ap-10679 90 15 an an DET ap-10679 90 16 additional additional ADJ ap-10679 90 17 photon photon NOUN ap-10679 90 18 in in ADP ap-10679 90 19 the the DET ap-10679 90 20 state state NOUN ap-10679 90 21 : : PUNCT ap-10679 90 22 |ψp |ψp NUM ap-10679 90 23 ⟩ ⟩ NOUN ap-10679 90 24 = = SYM ap-10679 90 25 1√ 1√ PROPN ap-10679 90 26 2 2 NUM ap-10679 90 27 { { PUNCT ap-10679 90 28 |15⟩|06⟩ |15⟩|06⟩ NOUN ap-10679 90 29 + + CCONJ ap-10679 90 30 |05⟩|16⟩ |05⟩|16⟩ PROPN ap-10679 90 31 } } PUNCT ap-10679 90 32 . . PUNCT ap-10679 91 1 ( ( PUNCT ap-10679 91 2 11 11 NUM ap-10679 91 3 ) ) PUNCT ap-10679 91 4 we we PRON ap-10679 91 5 use use VERB ap-10679 91 6 the the DET ap-10679 91 7 product product NOUN ap-10679 91 8 state state NOUN ap-10679 91 9 : : PUNCT ap-10679 91 10 |ψin⟩ |ψin⟩ PUNCT ap-10679 91 11 = = SYM ap-10679 91 12 |ψb⟩|ψp |ψb⟩|ψp DET ap-10679 91 13 ⟩ ⟩ NOUN ap-10679 91 14 ( ( PUNCT ap-10679 91 15 12 12 NUM ap-10679 91 16 ) ) PUNCT ap-10679 91 17 as as ADP ap-10679 91 18 the the DET ap-10679 91 19 input input NOUN ap-10679 91 20 state state NOUN ap-10679 91 21 for for ADP ap-10679 91 22 an an DET ap-10679 91 23 unitary unitary ADJ ap-10679 91 24 transformation transformation NOUN ap-10679 91 25 to to PART ap-10679 91 26 generate generate VERB ap-10679 91 27 the the DET ap-10679 91 28 desired desire VERB ap-10679 91 29 ghz ghz NOUN ap-10679 91 30 state state NOUN ap-10679 91 31 . . PUNCT ap-10679 92 1 it it PRON ap-10679 92 2 can can AUX ap-10679 92 3 be be AUX ap-10679 92 4 a a DET ap-10679 92 5 passive passive ADJ ap-10679 92 6 transformation transformation NOUN ap-10679 92 7 as as ADP ap-10679 92 8 the the DET ap-10679 92 9 initial initial ADJ ap-10679 92 10 state state NOUN ap-10679 92 11 |ψin⟩ |ψin⟩ PUNCT ap-10679 92 12 has have VERB ap-10679 92 13 the the DET ap-10679 92 14 sufficient sufficient ADJ ap-10679 92 15 number number NOUN ap-10679 92 16 of of ADP ap-10679 92 17 excitations excitation NOUN ap-10679 92 18 . . PUNCT ap-10679 93 1 the the DET ap-10679 93 2 ghz ghz NOUN ap-10679 93 3 state state NOUN ap-10679 93 4 is be AUX ap-10679 93 5 in in ADP ap-10679 93 6 our our PRON ap-10679 93 7 notation notation NOUN ap-10679 93 8 as as ADP ap-10679 93 9 : : PUNCT ap-10679 93 10 |ψghz⟩ |ψghz⟩ NOUN ap-10679 93 11 = = SYM ap-10679 93 12 1√ 1√ PROPN ap-10679 93 13 2 2 NUM ap-10679 93 14 { { PUNCT ap-10679 93 15 |11⟩|02⟩|13⟩|04⟩|15⟩|06⟩ |11⟩|02⟩|13⟩|04⟩|15⟩|06⟩ X ap-10679 93 16 + + CCONJ ap-10679 93 17 |01⟩|12⟩|03⟩|14⟩|15⟩|06⟩ |01⟩|12⟩|03⟩|14⟩|15⟩|06⟩ NOUN ap-10679 93 18 } } PUNCT ap-10679 93 19 . . PUNCT ap-10679 94 1 ( ( PUNCT ap-10679 94 2 13 13 NUM ap-10679 94 3 ) ) PUNCT ap-10679 94 4 the the DET ap-10679 94 5 input input NOUN ap-10679 94 6 state state NOUN ap-10679 94 7 |ψin|⟩ |ψin|⟩ VERB ap-10679 94 8 can can AUX ap-10679 94 9 be be AUX ap-10679 94 10 written write VERB ap-10679 94 11 as as ADP ap-10679 94 12 the the DET ap-10679 94 13 coherent coherent ADJ ap-10679 94 14 superposition superposition NOUN ap-10679 94 15 of of ADP ap-10679 94 16 two two NUM ap-10679 94 17 ghz ghz NOUN ap-10679 94 18 states state NOUN ap-10679 94 19 , , PUNCT ap-10679 94 20 namely namely ADV ap-10679 94 21 : : PUNCT ap-10679 94 22 |ψin⟩ |ψin⟩ PUNCT ap-10679 94 23 = = SYM ap-10679 95 1 |ψb⟩|ψp |ψb⟩|ψp PRON ap-10679 95 2 ⟩ ⟩ NOUN ap-10679 95 3 = = SYM ap-10679 95 4 1√ 1√ PROPN ap-10679 95 5 2 2 NUM ap-10679 95 6 ( ( PUNCT ap-10679 95 7 |ψghz⟩ |ψghz⟩ NOUN ap-10679 95 8 + + CCONJ ap-10679 95 9 |ψghz1⟩ |ψghz1⟩ ADJ ap-10679 95 10 ) ) PUNCT ap-10679 95 11 , , PUNCT ap-10679 95 12 ( ( PUNCT ap-10679 95 13 14 14 NUM ap-10679 95 14 ) ) PUNCT ap-10679 95 15 where where SCONJ ap-10679 95 16 the the DET ap-10679 95 17 second second ADJ ap-10679 95 18 ghz ghz NOUN ap-10679 95 19 state state NOUN ap-10679 95 20 takes take VERB ap-10679 95 21 the the DET ap-10679 95 22 form form NOUN ap-10679 95 23 : : PUNCT ap-10679 95 24 |ψghz1⟩ |ψghz1⟩ VERB ap-10679 95 25 = = SYM ap-10679 95 26 1√ 1√ ADJ ap-10679 95 27 2 2 NUM ap-10679 95 28 { { PUNCT ap-10679 95 29 |11⟩|02⟩|13⟩|04⟩|05⟩|16⟩ |11⟩|02⟩|13⟩|04⟩|05⟩|16⟩ PUNCT ap-10679 95 30 + + CCONJ ap-10679 95 31 |01⟩|12⟩|13⟩|04⟩|15⟩|06⟩ |01⟩|12⟩|13⟩|04⟩|15⟩|06⟩ ADP ap-10679 95 32 } } PUNCT ap-10679 95 33 . . PUNCT ap-10679 96 1 ( ( PUNCT ap-10679 96 2 15 15 X ap-10679 96 3 ) ) PUNCT ap-10679 96 4 it it PRON ap-10679 96 5 is be AUX ap-10679 96 6 easily easily ADV ap-10679 96 7 checked check VERB ap-10679 96 8 that that SCONJ ap-10679 96 9 the the DET ap-10679 96 10 two two NUM ap-10679 96 11 states state NOUN ap-10679 96 12 are be AUX ap-10679 96 13 mutually mutually ADV ap-10679 96 14 orthogonal orthogonal ADJ ap-10679 96 15 , , PUNCT ap-10679 96 16 i.e. i.e. X ap-10679 96 17 ⟨ψghz ⟨ψghz X ap-10679 96 18 |ψghz1⟩ |ψghz1⟩ ADJ ap-10679 96 19 = = NOUN ap-10679 96 20 0 0 X ap-10679 96 21 . . PUNCT ap-10679 97 1 due due ADP ap-10679 97 2 to to ADP ap-10679 97 3 this this DET ap-10679 97 4 fact fact NOUN ap-10679 97 5 we we PRON ap-10679 97 6 have have VERB ap-10679 97 7 to to PART ap-10679 97 8 search search VERB ap-10679 97 9 for for ADP ap-10679 97 10 an an DET ap-10679 97 11 orthogonal orthogonal ADJ ap-10679 97 12 transformation transformation NOUN ap-10679 97 13 û û NUM ap-10679 97 14 which which PRON ap-10679 97 15 realizes realize VERB ap-10679 97 16 the the DET ap-10679 97 17 transformation transformation NOUN ap-10679 97 18 : : PUNCT ap-10679 98 1 |ψghz⟩ |ψghz⟩ NOUN ap-10679 98 2 = = VERB ap-10679 98 3 û û PRON ap-10679 98 4 1√ 1√ PROPN ap-10679 98 5 2 2 NUM ap-10679 98 6 ( ( PUNCT ap-10679 98 7 |ψghz⟩ |ψghz⟩ NOUN ap-10679 98 8 + + CCONJ ap-10679 98 9 |ψghz1⟩ |ψghz1⟩ ADJ ap-10679 98 10 ) ) PUNCT ap-10679 98 11 ( ( PUNCT ap-10679 98 12 16 16 NUM ap-10679 98 13 ) ) PUNCT ap-10679 98 14 in in ADP ap-10679 98 15 the the DET ap-10679 98 16 basis basis NOUN ap-10679 98 17 of of ADP ap-10679 98 18 the the DET ap-10679 98 19 two two NUM ap-10679 98 20 ghz ghz NOUN ap-10679 98 21 states state NOUN ap-10679 98 22 this this DET ap-10679 98 23 transformation transformation NOUN ap-10679 98 24 is be AUX ap-10679 98 25 an an DET ap-10679 98 26 rotation rotation NOUN ap-10679 98 27 , , PUNCT ap-10679 98 28 i.e. i.e. X ap-10679 98 29 an an DET ap-10679 98 30 su(2 su(2 NOUN ap-10679 98 31 ) ) PUNCT ap-10679 98 32 transformation transformation NOUN ap-10679 98 33 . . PUNCT ap-10679 99 1 in in ADP ap-10679 99 2 matrix matrix NOUN ap-10679 99 3 notation notation NOUN ap-10679 99 4 this this DET ap-10679 99 5 transformation transformation NOUN ap-10679 99 6 can can AUX ap-10679 99 7 be be AUX ap-10679 99 8 written write VERB ap-10679 99 9 in in ADP ap-10679 99 10 the the DET ap-10679 99 11 form form NOUN ap-10679 99 12 : : PUNCT ap-10679 99 13 u u NOUN ap-10679 99 14 = = PROPN ap-10679 99 15 1√ 1√ PROPN ap-10679 99 16 2 2 NUM ap-10679 99 17 ( ( PUNCT ap-10679 99 18 1 1 NUM ap-10679 99 19 1 1 NUM ap-10679 99 20 −1 −1 NOUN ap-10679 99 21 1 1 NUM ap-10679 99 22 ) ) PUNCT ap-10679 99 23 . . PUNCT ap-10679 100 1 ( ( PUNCT ap-10679 100 2 17 17 NUM ap-10679 100 3 ) ) PUNCT ap-10679 100 4 because because SCONJ ap-10679 100 5 this this DET ap-10679 100 6 transformation transformation NOUN ap-10679 100 7 is be AUX ap-10679 100 8 cyclic cyclic ADJ ap-10679 100 9 , , PUNCT ap-10679 100 10 i.e. i.e. X ap-10679 100 11 u2 u2 NOUN ap-10679 100 12 = = NOUN ap-10679 100 13 1 1 NUM ap-10679 100 14 we we PRON ap-10679 100 15 can can AUX ap-10679 100 16 formally formally ADV ap-10679 100 17 associate associate VERB ap-10679 100 18 a a DET ap-10679 100 19 hamiltonian hamiltonian NOUN ap-10679 100 20 with with ADP ap-10679 100 21 the the DET ap-10679 100 22 transformation transformation NOUN ap-10679 100 23 in in ADP ap-10679 100 24 the the DET ap-10679 100 25 form form NOUN ap-10679 100 26 : : PUNCT ap-10679 101 1 h h NOUN ap-10679 101 2 = = SYM ap-10679 102 1 π π SYM ap-10679 102 2 2 2 NUM ap-10679 102 3 ( ( PUNCT ap-10679 102 4 1 1 NUM ap-10679 102 5 − − PROPN ap-10679 102 6 u u NOUN ap-10679 102 7 ) ) PUNCT ap-10679 102 8 . . PUNCT ap-10679 103 1 ( ( PUNCT ap-10679 103 2 18 18 NUM ap-10679 103 3 ) ) PUNCT ap-10679 103 4 this this PRON ap-10679 103 5 is be AUX ap-10679 103 6 still still ADV ap-10679 103 7 written write VERB ap-10679 103 8 in in ADP ap-10679 103 9 the the DET ap-10679 103 10 basis basis NOUN ap-10679 103 11 of of ADP ap-10679 103 12 the the DET ap-10679 103 13 ghz ghz NOUN ap-10679 103 14 states state NOUN ap-10679 103 15 . . PUNCT ap-10679 104 1 we we PRON ap-10679 104 2 need need VERB ap-10679 104 3 to to PART ap-10679 104 4 rewrite rewrite VERB ap-10679 104 5 the the DET ap-10679 104 6 transformation transformation NOUN ap-10679 104 7 operator operator NOUN ap-10679 104 8 in in ADP ap-10679 104 9 the the DET ap-10679 104 10 basis basis NOUN ap-10679 104 11 of of ADP ap-10679 104 12 creation creation NOUN ap-10679 104 13 and and CCONJ ap-10679 104 14 annihilation annihilation NOUN ap-10679 104 15 operators operator NOUN ap-10679 104 16 of of ADP ap-10679 104 17 the the DET ap-10679 104 18 participating participate VERB ap-10679 104 19 modes mode NOUN ap-10679 104 20 âi âi VERB ap-10679 104 21 , , PUNCT ap-10679 104 22 â â X ap-10679 104 23 † † PROPN ap-10679 105 1 i i PRON ap-10679 105 2 . . PUNCT ap-10679 106 1 a a DET ap-10679 106 2 brief brief ADJ ap-10679 106 3 inspection inspection NOUN ap-10679 106 4 reveals reveal VERB ap-10679 106 5 that that SCONJ ap-10679 106 6 the the DET ap-10679 106 7 transformation transformation NOUN ap-10679 106 8 can can AUX ap-10679 106 9 be be AUX ap-10679 106 10 expressed express VERB ap-10679 106 11 in in ADP ap-10679 106 12 terms term NOUN ap-10679 106 13 of of ADP ap-10679 106 14 one one NUM ap-10679 106 15 photon photon NOUN ap-10679 106 16 projection projection NOUN ap-10679 106 17 operators operator NOUN ap-10679 106 18 in in ADP ap-10679 106 19 the the DET ap-10679 106 20 bell bell PROPN ap-10679 106 21 state state PROPN ap-10679 106 22 |ψb⟩ |ψb⟩ PROPN ap-10679 106 23 , , PUNCT ap-10679 106 24 and and CCONJ ap-10679 106 25 the the DET ap-10679 106 26 transformation transformation NOUN ap-10679 106 27 which which PRON ap-10679 106 28 interchange interchange VERB ap-10679 106 29 the the DET ap-10679 106 30 two two NUM ap-10679 106 31 photon photon NOUN ap-10679 106 32 state state NOUN ap-10679 106 33 of of ADP ap-10679 106 34 the the DET ap-10679 106 35 additional additional ADJ ap-10679 106 36 entangle entangle NOUN ap-10679 106 37 state state NOUN ap-10679 106 38 |ψp |ψp PROPN ap-10679 106 39 ⟩ ⟩ NOUN ap-10679 106 40 : : PUNCT ap-10679 106 41 u u NOUN ap-10679 106 42 = = PROPN ap-10679 106 43 1√ 1√ PROPN ap-10679 106 44 2 2 NUM ap-10679 107 1 [ [ SYM ap-10679 107 2 1 1 NUM ap-10679 107 3 + + CCONJ ap-10679 107 4 ( ( PUNCT ap-10679 107 5 ↠↠ADJ ap-10679 107 6 5â6 5â6 NUM ap-10679 107 7 − − PROPN ap-10679 107 8 â5â â5â NOUN ap-10679 107 9 † † PROPN ap-10679 107 10 6)(↠6)(↠NUM ap-10679 108 1 i i PRON ap-10679 108 2 âi âi VERB ap-10679 108 3 − − ADP ap-10679 108 4 ↠↠PROPN ap-10679 108 5 j j PROPN ap-10679 108 6 âj âj NOUN ap-10679 108 7 ) ) PUNCT ap-10679 108 8 ] ] PUNCT ap-10679 108 9 . . PUNCT ap-10679 109 1 ( ( PUNCT ap-10679 109 2 19 19 NUM ap-10679 109 3 ) ) PUNCT ap-10679 109 4 the the DET ap-10679 109 5 index index NOUN ap-10679 109 6 i i PRON ap-10679 109 7 can can AUX ap-10679 109 8 take take VERB ap-10679 109 9 values value NOUN ap-10679 109 10 1 1 NUM ap-10679 109 11 or or CCONJ ap-10679 109 12 3 3 NUM ap-10679 109 13 and and CCONJ ap-10679 109 14 the the DET ap-10679 109 15 index index NOUN ap-10679 109 16 j j PROPN ap-10679 109 17 the the DET ap-10679 109 18 values value NOUN ap-10679 109 19 2 2 NUM ap-10679 109 20 or or CCONJ ap-10679 109 21 4 4 NUM ap-10679 109 22 . . PUNCT ap-10679 110 1 it it PRON ap-10679 110 2 guarantees guarantee VERB ap-10679 110 3 the the DET ap-10679 110 4 projection projection NOUN ap-10679 110 5 of of ADP ap-10679 110 6 bell bell PROPN ap-10679 110 7 state state PROPN ap-10679 110 8 |ψb⟩ |ψb⟩ PROPN ap-10679 110 9 on on ADP ap-10679 110 10 the the DET ap-10679 110 11 first first ADJ ap-10679 110 12 or or CCONJ ap-10679 110 13 second second ADJ ap-10679 110 14 ghz ghz NOUN ap-10679 110 15 states state NOUN ap-10679 110 16 , , PUNCT ap-10679 110 17 whose whose DET ap-10679 110 18 superposition superposition NOUN ap-10679 110 19 the the DET ap-10679 110 20 bell bell PROPN ap-10679 110 21 state state NOUN ap-10679 110 22 is be AUX ap-10679 110 23 . . PUNCT ap-10679 111 1 these these DET ap-10679 111 2 relations relation NOUN ap-10679 111 3 express express VERB ap-10679 111 4 the the DET ap-10679 111 5 hamiltonian hamiltonian NOUN ap-10679 111 6 in in ADP ap-10679 111 7 terms term NOUN ap-10679 111 8 of of ADP ap-10679 111 9 mode mode NOUN ap-10679 111 10 of of ADP ap-10679 111 11 creation creation NOUN ap-10679 111 12 and and CCONJ ap-10679 111 13 annihilation annihilation NOUN ap-10679 111 14 operators operator NOUN ap-10679 111 15 . . PUNCT ap-10679 112 1 the the DET ap-10679 112 2 hamiltonian hamiltonian NOUN ap-10679 112 3 belongs belong VERB ap-10679 112 4 to to ADP ap-10679 112 5 the the DET ap-10679 112 6 class class NOUN ap-10679 112 7 of of ADP ap-10679 112 8 third third ADJ ap-10679 112 9 order order NOUN ap-10679 112 10 nonlinear nonlinear ADJ ap-10679 112 11 optical optical ADJ ap-10679 112 12 hamiltonians hamiltonian NOUN ap-10679 112 13 . . PUNCT ap-10679 113 1 it it PRON ap-10679 113 2 could could AUX ap-10679 113 3 be be AUX ap-10679 113 4 realized realize VERB ap-10679 113 5 either either CCONJ ap-10679 113 6 within within ADP ap-10679 113 7 the the DET ap-10679 113 8 frame frame NOUN ap-10679 113 9 of of ADP ap-10679 113 10 interacting interact VERB ap-10679 113 11 optical optical ADJ ap-10679 113 12 modes mode NOUN ap-10679 113 13 in in ADP ap-10679 113 14 an an DET ap-10679 113 15 nonlinear nonlinear ADJ ap-10679 113 16 medium medium NOUN ap-10679 113 17 or or CCONJ ap-10679 113 18 in in ADP ap-10679 113 19 systems system NOUN ap-10679 113 20 with with ADP ap-10679 113 21 trapped trap VERB ap-10679 113 22 ions ion NOUN ap-10679 113 23 . . PUNCT ap-10679 114 1 the the DET ap-10679 114 2 interaction interaction NOUN ap-10679 114 3 naturally naturally ADV ap-10679 114 4 expresses express VERB ap-10679 114 5 also also ADV ap-10679 114 6 effective effective ADJ ap-10679 114 7 all all DET ap-10679 114 8 the the DET ap-10679 114 9 processes process NOUN ap-10679 114 10 that that PRON ap-10679 114 11 generate generate VERB ap-10679 114 12 entangled entangled ADJ ap-10679 114 13 states state NOUN ap-10679 114 14 from from ADP ap-10679 114 15 nonentangled nonentangle VERB ap-10679 114 16 states state NOUN ap-10679 114 17 . . PUNCT ap-10679 115 1 note note VERB ap-10679 115 2 that that SCONJ ap-10679 115 3 this this DET ap-10679 115 4 strategy strategy NOUN ap-10679 115 5 is be AUX ap-10679 115 6 possible possible ADJ ap-10679 115 7 to to PART ap-10679 115 8 use use VERB ap-10679 115 9 for for ADP ap-10679 115 10 quite quite DET ap-10679 115 11 a a DET ap-10679 115 12 general general ADJ ap-10679 115 13 class class NOUN ap-10679 115 14 of of ADP ap-10679 115 15 states state NOUN ap-10679 115 16 . . PUNCT ap-10679 116 1 we we PRON ap-10679 116 2 use use VERB ap-10679 116 3 the the DET ap-10679 116 4 observation observation NOUN ap-10679 116 5 that that SCONJ ap-10679 116 6 only only ADV ap-10679 116 7 four four NUM ap-10679 116 8 modes mode NOUN ap-10679 116 9 out out ADP ap-10679 116 10 of of ADP ap-10679 116 11 six six NUM ap-10679 116 12 are be AUX ap-10679 116 13 involved involve VERB ap-10679 116 14 in in ADP ap-10679 116 15 the the DET ap-10679 116 16 transformation transformation NOUN ap-10679 116 17 . . PUNCT ap-10679 117 1 we we PRON ap-10679 117 2 can can AUX ap-10679 117 3 consider consider VERB ap-10679 117 4 generally generally ADV ap-10679 117 5 , , PUNCT ap-10679 117 6 the the DET ap-10679 117 7 initial initial ADJ ap-10679 117 8 state state NOUN ap-10679 117 9 is be AUX ap-10679 117 10 the the DET ap-10679 117 11 state state NOUN ap-10679 117 12 that that PRON ap-10679 117 13 has have VERB ap-10679 117 14 the the DET ap-10679 117 15 form form NOUN ap-10679 117 16 : : PUNCT ap-10679 117 17 |ψin⟩ |ψin⟩ NUM ap-10679 117 18 = = SYM ap-10679 117 19 |ψ1⟩|ψ2⟩ |ψ1⟩|ψ2⟩ NOUN ap-10679 117 20 , , PUNCT ap-10679 117 21 ( ( PUNCT ap-10679 117 22 20 20 NUM ap-10679 117 23 ) ) PUNCT ap-10679 118 1 where where SCONJ ap-10679 118 2 : : PUNCT ap-10679 118 3 |ψ1⟩ |ψ1⟩ PROPN ap-10679 118 4 = = SYM ap-10679 118 5 1√ 1√ NUM ap-10679 118 6 2 2 NUM ap-10679 118 7 ( ( PUNCT ap-10679 118 8 |φ10⟩|13⟩|04⟩ |φ10⟩|13⟩|04⟩ X ap-10679 118 9 + + CCONJ ap-10679 118 10 ( ( PUNCT ap-10679 118 11 |φ01⟩|03⟩|14⟩ |φ01⟩|03⟩|14⟩ NOUN ap-10679 118 12 ) ) PUNCT ap-10679 118 13 , , PUNCT ap-10679 118 14 ( ( PUNCT ap-10679 118 15 21 21 NUM ap-10679 118 16 ) ) PUNCT ap-10679 118 17 and and CCONJ ap-10679 118 18 : : PUNCT ap-10679 118 19 |ψ2⟩ |ψ2⟩ X ap-10679 118 20 = = SYM ap-10679 118 21 1√ 1√ PROPN ap-10679 118 22 2 2 NUM ap-10679 118 23 ( ( PUNCT ap-10679 118 24 |15⟩|06⟩ |15⟩|06⟩ NOUN ap-10679 118 25 + + CCONJ ap-10679 118 26 ( ( PUNCT ap-10679 118 27 |05⟩|16⟩ |05⟩|16⟩ PROPN ap-10679 118 28 ) ) PUNCT ap-10679 118 29 . . PUNCT ap-10679 119 1 ( ( PUNCT ap-10679 119 2 22 22 NUM ap-10679 119 3 ) ) PUNCT ap-10679 119 4 because because SCONJ ap-10679 119 5 all all DET ap-10679 119 6 involved involved ADJ ap-10679 119 7 states state NOUN ap-10679 119 8 are be AUX ap-10679 119 9 mutually mutually ADV ap-10679 119 10 orthogonal orthogonal ADJ ap-10679 119 11 as as SCONJ ap-10679 119 12 those those PRON ap-10679 119 13 in in ADP ap-10679 119 14 the the DET ap-10679 119 15 original original ADJ ap-10679 119 16 ghz ghz NOUN ap-10679 119 17 state state NOUN ap-10679 119 18 generation generation NOUN ap-10679 119 19 the the DET ap-10679 119 20 same same ADJ ap-10679 119 21 procedure procedure NOUN ap-10679 119 22 can can AUX ap-10679 119 23 be be AUX ap-10679 119 24 applied apply VERB ap-10679 119 25 and and CCONJ ap-10679 119 26 the the DET ap-10679 119 27 result result NOUN ap-10679 119 28 for for ADP ap-10679 119 29 the the DET ap-10679 119 30 517 517 NUM ap-10679 119 31 a. a. NOUN ap-10679 119 32 bandilla bandilla PROPN ap-10679 119 33 , , PUNCT ap-10679 119 34 g. g. PROPN ap-10679 119 35 chadzitaskos chadzitaskos PROPN ap-10679 119 36 , , PUNCT ap-10679 119 37 i. i. PROPN ap-10679 119 38 jex jex PROPN ap-10679 119 39 acta acta PROPN ap-10679 119 40 polytechnica polytechnica PROPN ap-10679 119 41 unknown unknown ADJ ap-10679 119 42 hamiltonian hamiltonian NOUN ap-10679 119 43 will will AUX ap-10679 119 44 be be AUX ap-10679 119 45 the the DET ap-10679 119 46 same same ADJ ap-10679 119 47 . . PUNCT ap-10679 120 1 the the DET ap-10679 120 2 results result NOUN ap-10679 120 3 after after ADP ap-10679 120 4 the the DET ap-10679 120 5 action action NOUN ap-10679 120 6 of of ADP ap-10679 120 7 the the DET ap-10679 120 8 unitary unitary ADJ ap-10679 120 9 transformation transformation NOUN ap-10679 120 10 : : PUNCT ap-10679 120 11 u u NOUN ap-10679 120 12 = = PROPN ap-10679 120 13 1√ 1√ PROPN ap-10679 120 14 2 2 NUM ap-10679 121 1 [ [ SYM ap-10679 121 2 1 1 NUM ap-10679 121 3 + + CCONJ ap-10679 121 4 ( ( PUNCT ap-10679 121 5 ↠↠ADJ ap-10679 121 6 5â6 5â6 NUM ap-10679 121 7 − − PROPN ap-10679 121 8 â5â â5â NOUN ap-10679 121 9 † † PROPN ap-10679 121 10 6)(↠6)(↠NUM ap-10679 121 11 3â3 3â3 NUM ap-10679 121 12 − − PRON ap-10679 121 13 ↠↠ADJ ap-10679 121 14 4â4 4â4 NOUN ap-10679 121 15 ) ) PUNCT ap-10679 121 16 ] ] PUNCT ap-10679 121 17 , , PUNCT ap-10679 121 18 ( ( PUNCT ap-10679 121 19 23 23 NUM ap-10679 121 20 ) ) PUNCT ap-10679 121 21 on on ADP ap-10679 121 22 the the DET ap-10679 121 23 initial initial ADJ ap-10679 121 24 state state NOUN ap-10679 121 25 will will AUX ap-10679 121 26 be be AUX ap-10679 121 27 : : PUNCT ap-10679 121 28 |ψout⟩ |ψout⟩ PROPN ap-10679 121 29 = = PUNCT ap-10679 121 30 1√ 1√ PROPN ap-10679 121 31 2 2 NUM ap-10679 121 32 ( ( PUNCT ap-10679 121 33 |ψ10⟩|13⟩|04⟩|15⟩|06⟩ |ψ10⟩|13⟩|04⟩|15⟩|06⟩ NOUN ap-10679 121 34 + + CCONJ ap-10679 121 35 |ψ01⟩|03⟩|14⟩|05⟩|16⟩ |ψ01⟩|03⟩|14⟩|05⟩|16⟩ NOUN ap-10679 121 36 ) ) PUNCT ap-10679 121 37 . . PUNCT ap-10679 122 1 ( ( PUNCT ap-10679 122 2 24 24 NUM ap-10679 122 3 ) ) PUNCT ap-10679 122 4 this this PRON ap-10679 122 5 means mean VERB ap-10679 122 6 also also ADV ap-10679 122 7 that that SCONJ ap-10679 122 8 the the DET ap-10679 122 9 original original ADJ ap-10679 122 10 bell bell NOUN ap-10679 122 11 states state NOUN ap-10679 122 12 can can AUX ap-10679 122 13 be be AUX ap-10679 122 14 generated generate VERB ap-10679 122 15 in in ADP ap-10679 122 16 this this DET ap-10679 122 17 manner manner NOUN ap-10679 122 18 . . PUNCT ap-10679 123 1 however however ADV ap-10679 123 2 , , PUNCT ap-10679 123 3 the the DET ap-10679 123 4 order order NOUN ap-10679 123 5 of of ADP ap-10679 123 6 the the DET ap-10679 123 7 nonlinearity nonlinearity NOUN ap-10679 123 8 is be AUX ap-10679 123 9 in in ADP ap-10679 123 10 such such DET ap-10679 123 11 a a DET ap-10679 123 12 case case NOUN ap-10679 123 13 higher high ADJ ap-10679 123 14 . . PUNCT ap-10679 124 1 the the DET ap-10679 124 2 reason reason NOUN ap-10679 124 3 is be AUX ap-10679 124 4 that that SCONJ ap-10679 124 5 in in ADP ap-10679 124 6 this this DET ap-10679 124 7 case case NOUN ap-10679 124 8 we we PRON ap-10679 124 9 start start VERB ap-10679 124 10 initially initially ADV ap-10679 124 11 with with ADP ap-10679 124 12 a a DET ap-10679 124 13 vacuum vacuum NOUN ap-10679 124 14 and and CCONJ ap-10679 124 15 we we PRON ap-10679 124 16 need need VERB ap-10679 124 17 a a DET ap-10679 124 18 parametric parametric ADJ ap-10679 124 19 process process NOUN ap-10679 124 20 to to PART ap-10679 124 21 pump pump VERB ap-10679 124 22 energy energy NOUN ap-10679 124 23 into into ADP ap-10679 124 24 the the DET ap-10679 124 25 manipulated manipulate VERB ap-10679 124 26 system system NOUN ap-10679 124 27 . . PUNCT ap-10679 125 1 in in ADP ap-10679 125 2 connection connection NOUN ap-10679 125 3 with with ADP ap-10679 125 4 the the DET ap-10679 125 5 more more ADV ap-10679 125 6 general general ADJ ap-10679 125 7 additional additional ADJ ap-10679 125 8 state state NOUN ap-10679 125 9 : : PUNCT ap-10679 125 10 |ψ3⟩ |ψ3⟩ PROPN ap-10679 125 11 = = SYM ap-10679 125 12 1√ 1√ PROPN ap-10679 125 13 2 2 NUM ap-10679 125 14 ( ( PUNCT ap-10679 125 15 |ψ20⟩|15⟩|06⟩ |ψ20⟩|15⟩|06⟩ NUM ap-10679 125 16 + + NUM ap-10679 125 17 |ψ02⟩|05⟩|16⟩ |ψ02⟩|05⟩|16⟩ NOUN ap-10679 125 18 ) ) PUNCT ap-10679 125 19 , , PUNCT ap-10679 125 20 ( ( PUNCT ap-10679 125 21 25 25 NUM ap-10679 125 22 ) ) PUNCT ap-10679 125 23 we we PRON ap-10679 125 24 might might AUX ap-10679 125 25 ask ask VERB ap-10679 125 26 for for ADP ap-10679 125 27 the the DET ap-10679 125 28 transformation transformation NOUN ap-10679 125 29 that that PRON ap-10679 125 30 will will AUX ap-10679 125 31 decompose decompose VERB ap-10679 125 32 the the DET ap-10679 125 33 initial initial ADJ ap-10679 125 34 state state NOUN ap-10679 125 35 : : PUNCT ap-10679 125 36 |ψin3⟩ |ψin3⟩ NUM ap-10679 125 37 = = SYM ap-10679 125 38 |ψ1⟩|ψ3⟩ |ψ1⟩|ψ3⟩ X ap-10679 125 39 ( ( PUNCT ap-10679 125 40 26 26 NUM ap-10679 125 41 ) ) PUNCT ap-10679 125 42 into into ADP ap-10679 125 43 the the DET ap-10679 125 44 form form NOUN ap-10679 125 45 : : PUNCT ap-10679 125 46 |ψout1⟩ |ψout1⟩ NOUN ap-10679 125 47 = = SYM ap-10679 125 48 1 1 NUM ap-10679 125 49 2(|ψ10⟩|ψ20⟩|13⟩|04⟩|15⟩|06⟩ 2(|ψ10⟩|ψ20⟩|13⟩|04⟩|15⟩|06⟩ NUM ap-10679 125 50 + + CCONJ ap-10679 125 51 |ψ01⟩|ψ02⟩|03⟩|14⟩|05⟩|16⟩ |ψ01⟩|ψ02⟩|03⟩|14⟩|05⟩|16⟩ NOUN ap-10679 125 52 ) ) PUNCT ap-10679 125 53 . . PUNCT ap-10679 126 1 ( ( PUNCT ap-10679 126 2 27 27 NUM ap-10679 126 3 ) ) PUNCT ap-10679 126 4 we we PRON ap-10679 126 5 can can AUX ap-10679 126 6 proceed proceed VERB ap-10679 126 7 along along ADP ap-10679 126 8 the the DET ap-10679 126 9 same same ADJ ap-10679 126 10 type type NOUN ap-10679 126 11 of of ADP ap-10679 126 12 argumentation argumentation NOUN ap-10679 126 13 as as SCONJ ap-10679 126 14 we we PRON ap-10679 126 15 done do VERB ap-10679 126 16 before before ADV ap-10679 126 17 . . PUNCT ap-10679 127 1 however however ADV ap-10679 127 2 , , PUNCT ap-10679 127 3 to to PART ap-10679 127 4 get get VERB ap-10679 127 5 an an DET ap-10679 127 6 explicit explicit ADJ ap-10679 127 7 form form NOUN ap-10679 127 8 we we PRON ap-10679 127 9 would would AUX ap-10679 127 10 have have VERB ap-10679 127 11 to to PART ap-10679 127 12 specify specify VERB ap-10679 127 13 in in ADP ap-10679 127 14 more more ADJ ap-10679 127 15 detail detail NOUN ap-10679 127 16 the the DET ap-10679 127 17 form form NOUN ap-10679 127 18 of of ADP ap-10679 127 19 the the DET ap-10679 127 20 states state NOUN ap-10679 127 21 |ψij⟩ |ψij⟩ PRON ap-10679 127 22 to to PART ap-10679 127 23 find find VERB ap-10679 127 24 the the DET ap-10679 127 25 transformation transformation NOUN ap-10679 127 26 operator operator NOUN ap-10679 127 27 between between ADP ap-10679 127 28 |ψ02⟩ |ψ02⟩ PRON ap-10679 127 29 and and CCONJ ap-10679 127 30 |ψ20⟩ |ψ20⟩ NUM ap-10679 127 31 and and CCONJ ap-10679 127 32 to to PART ap-10679 127 33 express express VERB ap-10679 127 34 it it PRON ap-10679 127 35 in in ADP ap-10679 127 36 the the DET ap-10679 127 37 form form NOUN ap-10679 127 38 the the DET ap-10679 127 39 annihilation annihilation NOUN ap-10679 127 40 and and CCONJ ap-10679 127 41 creation creation NOUN ap-10679 127 42 operators operator NOUN ap-10679 127 43 . . PUNCT ap-10679 128 1 if if SCONJ ap-10679 128 2 we we PRON ap-10679 128 3 have have VERB ap-10679 128 4 such such ADJ ap-10679 128 5 transformation transformation NOUN ap-10679 128 6 : : PUNCT ap-10679 128 7 t t PROPN ap-10679 128 8 ( ( PUNCT ap-10679 128 9 |ψ02⟩ |ψ02⟩ NUM ap-10679 128 10 ) ) PUNCT ap-10679 128 11 = = SYM ap-10679 129 1 |ψ20⟩ |ψ20⟩ PROPN ap-10679 129 2 , , PUNCT ap-10679 129 3 ( ( PUNCT ap-10679 129 4 28 28 NUM ap-10679 129 5 ) ) PUNCT ap-10679 129 6 then then ADV ap-10679 129 7 the the DET ap-10679 129 8 asking ask VERB ap-10679 129 9 operator operator NOUN ap-10679 129 10 is be AUX ap-10679 129 11 : : PUNCT ap-10679 129 12 u u NOUN ap-10679 129 13 = = PROPN ap-10679 129 14 1√ 1√ PROPN ap-10679 129 15 2 2 NUM ap-10679 130 1 [ [ SYM ap-10679 130 2 1 1 NUM ap-10679 130 3 + + CCONJ ap-10679 130 4 ( ( PUNCT ap-10679 130 5 t t PROPN ap-10679 130 6 ↠↠PROPN ap-10679 130 7 5â6 5â6 NUM ap-10679 130 8 −t−1 −t−1 NUM ap-10679 130 9 â5â â5â NOUN ap-10679 130 10 † † PROPN ap-10679 130 11 6)(↠6)(↠NUM ap-10679 130 12 3â3 3â3 NUM ap-10679 130 13 − − PRON ap-10679 130 14 ↠↠ADJ ap-10679 130 15 4â4 4â4 NOUN ap-10679 130 16 ) ) PUNCT ap-10679 130 17 ] ] PUNCT ap-10679 130 18 , , PUNCT ap-10679 130 19 ( ( PUNCT ap-10679 130 20 29 29 NUM ap-10679 130 21 ) ) PUNCT ap-10679 130 22 so so ADV ap-10679 130 23 : : PUNCT ap-10679 130 24 u u NOUN ap-10679 130 25 ( ( PUNCT ap-10679 130 26 |ψin3⟩ |ψin3⟩ NUM ap-10679 130 27 ) ) PUNCT ap-10679 130 28 = = SYM ap-10679 130 29 |ψout1⟩. |ψout1⟩. NOUN ap-10679 130 30 ( ( PUNCT ap-10679 130 31 30 30 NUM ap-10679 130 32 ) ) PUNCT ap-10679 130 33 applying apply VERB ap-10679 130 34 the the DET ap-10679 130 35 transformation transformation NOUN ap-10679 130 36 operator operator NOUN ap-10679 130 37 : : PUNCT ap-10679 130 38 u u NOUN ap-10679 130 39 = = PROPN ap-10679 130 40 1√ 1√ PROPN ap-10679 130 41 2 2 NUM ap-10679 130 42 ( ( PUNCT ap-10679 130 43 1 1 NUM ap-10679 130 44 − − PROPN ap-10679 130 45 t−1 t−1 PROPN ap-10679 130 46 ↠↠ADJ ap-10679 130 47 3â3â 3â3â NOUN ap-10679 130 48 † † NOUN ap-10679 131 1 6â5 6â5 ADV ap-10679 131 2 − − PROPN ap-10679 131 3 t t PROPN ap-10679 132 1 ↠↠PROPN ap-10679 132 2 4â4â 4â4â PROPN ap-10679 132 3 † † PROPN ap-10679 133 1 5â6 5â6 NUM ap-10679 133 2 + + CCONJ ap-10679 133 3 t−1 t−1 PROPN ap-10679 133 4 ↠↠ADJ ap-10679 133 5 5â5â 5â5â NUM ap-10679 133 6 † † NOUN ap-10679 134 1 3â4 3â4 NUM ap-10679 134 2 + + CCONJ ap-10679 134 3 t t NOUN ap-10679 134 4 ↠↠ADJ ap-10679 134 5 6â6â 6â6â PROPN ap-10679 134 6 † † NOUN ap-10679 134 7 4â3 4â3 NUM ap-10679 134 8 ) ) PUNCT ap-10679 134 9 ( ( PUNCT ap-10679 134 10 31 31 NUM ap-10679 134 11 ) ) PUNCT ap-10679 134 12 on on ADP ap-10679 134 13 the the DET ap-10679 134 14 initial initial ADJ ap-10679 134 15 state state NOUN ap-10679 134 16 |ψin3⟩ |ψin3⟩ PROPN ap-10679 134 17 , , PUNCT ap-10679 134 18 we we PRON ap-10679 134 19 get get VERB ap-10679 134 20 the the DET ap-10679 134 21 decomposition decomposition NOUN ap-10679 134 22 : : PUNCT ap-10679 134 23 |ψout2⟩ |ψout2⟩ ADJ ap-10679 134 24 = = SYM ap-10679 134 25 1 1 NUM ap-10679 134 26 2(|ψ01⟩|ψ02⟩)(|13⟩|04⟩|15⟩|06⟩ 2(|ψ01⟩|ψ02⟩)(|13⟩|04⟩|15⟩|06⟩ NUM ap-10679 134 27 + + CCONJ ap-10679 134 28 |ψ10⟩|ψ20⟩ |ψ10⟩|ψ20⟩ ADJ ap-10679 134 29 + + CCONJ ap-10679 134 30 |03⟩|14⟩|05⟩|16⟩ |03⟩|14⟩|05⟩|16⟩ NOUN ap-10679 134 31 ) ) PUNCT ap-10679 134 32 . . PUNCT ap-10679 135 1 ( ( PUNCT ap-10679 135 2 32 32 NUM ap-10679 135 3 ) ) PUNCT ap-10679 135 4 for for ADP ap-10679 135 5 bell bell NOUN ap-10679 135 6 - - PUNCT ap-10679 135 7 type type NOUN ap-10679 135 8 states state NOUN ap-10679 135 9 the the DET ap-10679 135 10 already already ADV ap-10679 135 11 derived derive VERB ap-10679 135 12 hamiltonian hamiltonian NOUN ap-10679 135 13 would would AUX ap-10679 135 14 work work VERB ap-10679 135 15 well well ADV ap-10679 135 16 . . PUNCT ap-10679 136 1 however however ADV ap-10679 136 2 , , PUNCT ap-10679 136 3 for for ADP ap-10679 136 4 different different ADJ ap-10679 136 5 states state NOUN ap-10679 136 6 it it PRON ap-10679 136 7 will will AUX ap-10679 136 8 lead lead VERB ap-10679 136 9 to to ADP ap-10679 136 10 hamiltonians hamiltonian NOUN ap-10679 136 11 of of ADP ap-10679 136 12 higher high ADJ ap-10679 136 13 order order NOUN ap-10679 136 14 and and CCONJ ap-10679 136 15 will will AUX ap-10679 136 16 involve involve VERB ap-10679 136 17 nonlinearities nonlinearitie NOUN ap-10679 136 18 of of ADP ap-10679 136 19 higher high ADJ ap-10679 136 20 order order NOUN ap-10679 136 21 . . PUNCT ap-10679 137 1 entanglement entanglement NOUN ap-10679 137 2 presents present VERB ap-10679 137 3 one one NUM ap-10679 137 4 of of ADP ap-10679 137 5 the the DET ap-10679 137 6 most most ADV ap-10679 137 7 fascinating fascinating ADJ ap-10679 137 8 parts part NOUN ap-10679 137 9 of of ADP ap-10679 137 10 quantum quantum NOUN ap-10679 137 11 mechanics mechanic NOUN ap-10679 137 12 . . PUNCT ap-10679 138 1 it it PRON ap-10679 138 2 is be AUX ap-10679 138 3 currently currently ADV ap-10679 138 4 and and CCONJ ap-10679 138 5 very very ADV ap-10679 138 6 close close ADJ ap-10679 138 7 inspection inspection NOUN ap-10679 138 8 as as SCONJ ap-10679 138 9 it it PRON ap-10679 138 10 is be AUX ap-10679 138 11 not not PART ap-10679 138 12 only only ADV ap-10679 138 13 of of ADP ap-10679 138 14 theoretical theoretical ADJ ap-10679 138 15 but but CCONJ ap-10679 138 16 also also ADV ap-10679 138 17 of of ADP ap-10679 138 18 practical practical ADJ ap-10679 138 19 interest interest NOUN ap-10679 138 20 . . PUNCT ap-10679 139 1 entanglement entanglement NOUN ap-10679 139 2 is be AUX ap-10679 139 3 the the DET ap-10679 139 4 essence essence NOUN ap-10679 139 5 of of ADP ap-10679 139 6 quantum quantum NOUN ap-10679 139 7 computing computing NOUN ap-10679 139 8 and and CCONJ ap-10679 139 9 secret secret ADJ ap-10679 139 10 information information NOUN ap-10679 139 11 transmission transmission NOUN ap-10679 139 12 ( ( PUNCT ap-10679 139 13 quantum quantum NOUN ap-10679 139 14 cryptography cryptography NOUN ap-10679 139 15 ) ) PUNCT ap-10679 139 16 . . PUNCT ap-10679 140 1 it it PRON ap-10679 140 2 can can AUX ap-10679 140 3 be be AUX ap-10679 140 4 expected expect VERB ap-10679 140 5 , , PUNCT ap-10679 140 6 that that SCONJ ap-10679 140 7 at at ADV ap-10679 140 8 least least ADJ ap-10679 140 9 some some PRON ap-10679 140 10 of of ADP ap-10679 140 11 the the DET ap-10679 140 12 effects effect NOUN ap-10679 140 13 in in ADP ap-10679 140 14 the the DET ap-10679 140 15 realm realm NOUN ap-10679 140 16 of of ADP ap-10679 140 17 entanglement entanglement NOUN ap-10679 140 18 will will AUX ap-10679 140 19 become become VERB ap-10679 140 20 used use VERB ap-10679 140 21 in in ADP ap-10679 140 22 non non X ap-10679 140 23 quantum quantum ADJ ap-10679 140 24 life life NOUN ap-10679 140 25 in in ADP ap-10679 140 26 the the DET ap-10679 140 27 future future NOUN ap-10679 140 28 . . PUNCT ap-10679 141 1 4 4 X ap-10679 141 2 . . X ap-10679 141 3 conclusion conclusion NOUN ap-10679 141 4 entanglement entanglement NOUN ap-10679 141 5 presents present VERB ap-10679 141 6 one one NUM ap-10679 141 7 of of ADP ap-10679 141 8 the the DET ap-10679 141 9 most most ADV ap-10679 141 10 fascinating fascinating ADJ ap-10679 141 11 parts part NOUN ap-10679 141 12 of of ADP ap-10679 141 13 quantum quantum NOUN ap-10679 141 14 mechanics mechanic NOUN ap-10679 141 15 . . PUNCT ap-10679 142 1 it it PRON ap-10679 142 2 is be AUX ap-10679 142 3 currently currently ADV ap-10679 142 4 and and CCONJ ap-10679 142 5 very very ADV ap-10679 142 6 close close ADJ ap-10679 142 7 inspection inspection NOUN ap-10679 142 8 as as SCONJ ap-10679 142 9 it it PRON ap-10679 142 10 is be AUX ap-10679 142 11 not not PART ap-10679 142 12 only only ADV ap-10679 142 13 of of ADP ap-10679 142 14 theoretical theoretical ADJ ap-10679 142 15 but but CCONJ ap-10679 142 16 also also ADV ap-10679 142 17 of of ADP ap-10679 142 18 practical practical ADJ ap-10679 142 19 interest interest NOUN ap-10679 142 20 . . PUNCT ap-10679 143 1 entanglement entanglement NOUN ap-10679 143 2 is be AUX ap-10679 143 3 the the DET ap-10679 143 4 essence essence NOUN ap-10679 143 5 of of ADP ap-10679 143 6 quantum quantum NOUN ap-10679 143 7 computing computing NOUN ap-10679 143 8 and and CCONJ ap-10679 143 9 secret secret ADJ ap-10679 143 10 information information NOUN ap-10679 143 11 transmission transmission NOUN ap-10679 143 12 ( ( PUNCT ap-10679 143 13 quantum quantum NOUN ap-10679 143 14 cryptography cryptography NOUN ap-10679 143 15 ) ) PUNCT ap-10679 143 16 . . PUNCT ap-10679 144 1 entanglement entanglement NOUN ap-10679 144 2 is be AUX ap-10679 144 3 rather rather ADV ap-10679 144 4 commonly commonly ADV ap-10679 144 5 associated associate VERB ap-10679 144 6 with with ADP ap-10679 144 7 the the DET ap-10679 144 8 microscopic microscopic ADJ ap-10679 144 9 world world NOUN ap-10679 144 10 . . PUNCT ap-10679 145 1 it it PRON ap-10679 145 2 can can AUX ap-10679 145 3 be be AUX ap-10679 145 4 expected expect VERB ap-10679 145 5 , , PUNCT ap-10679 145 6 that that SCONJ ap-10679 145 7 at at ADV ap-10679 145 8 least least ADJ ap-10679 145 9 some some PRON ap-10679 145 10 of of ADP ap-10679 145 11 the the DET ap-10679 145 12 effects effect NOUN ap-10679 145 13 in in ADP ap-10679 145 14 the the DET ap-10679 145 15 realm realm NOUN ap-10679 145 16 of of ADP ap-10679 145 17 entanglement entanglement NOUN ap-10679 145 18 will will AUX ap-10679 145 19 become become VERB ap-10679 145 20 used use VERB ap-10679 145 21 in in ADP ap-10679 145 22 nonquantum nonquantum PROPN ap-10679 145 23 life life NOUN ap-10679 145 24 in in ADP ap-10679 145 25 the the DET ap-10679 145 26 future future NOUN ap-10679 145 27 . . PUNCT ap-10679 146 1 in in ADP ap-10679 146 2 the the DET ap-10679 146 3 present present ADJ ap-10679 146 4 manuscript manuscript NOUN ap-10679 146 5 we we PRON ap-10679 146 6 reported report VERB ap-10679 146 7 on on ADP ap-10679 146 8 a a DET ap-10679 146 9 way way NOUN ap-10679 146 10 how how SCONJ ap-10679 146 11 the the DET ap-10679 146 12 enigmatic enigmatic ADJ ap-10679 146 13 entangled entangled ADJ ap-10679 146 14 ghz ghz NOUN ap-10679 146 15 state state NOUN ap-10679 146 16 can can AUX ap-10679 146 17 be be AUX ap-10679 146 18 generated generate VERB ap-10679 146 19 . . PUNCT ap-10679 147 1 we we PRON ap-10679 147 2 derived derive VERB ap-10679 147 3 an an DET ap-10679 147 4 explicit explicit ADJ ap-10679 147 5 form form NOUN ap-10679 147 6 for for ADP ap-10679 147 7 generating generate VERB ap-10679 147 8 optical optical ADJ ap-10679 147 9 ghz ghz NOUN ap-10679 147 10 states state NOUN ap-10679 147 11 and and CCONJ ap-10679 147 12 discussed discuss VERB ap-10679 147 13 some some DET ap-10679 147 14 details detail NOUN ap-10679 147 15 . . PUNCT ap-10679 148 1 the the DET ap-10679 148 2 corresponding correspond VERB ap-10679 148 3 hamiltonians hamiltonian NOUN ap-10679 148 4 ( ( PUNCT ap-10679 148 5 or or CCONJ ap-10679 148 6 generating generate VERB ap-10679 148 7 operators operator NOUN ap-10679 148 8 ) ) PUNCT ap-10679 148 9 have have VERB ap-10679 148 10 the the DET ap-10679 148 11 form form NOUN ap-10679 148 12 of of ADP ap-10679 148 13 sums sum NOUN ap-10679 148 14 of of ADP ap-10679 148 15 higher high ADJ ap-10679 148 16 order order NOUN ap-10679 148 17 products product NOUN ap-10679 148 18 of of ADP ap-10679 148 19 annihilation annihilation NOUN ap-10679 148 20 and and CCONJ ap-10679 148 21 creation creation NOUN ap-10679 148 22 ( ( PUNCT ap-10679 148 23 harmonic harmonic ADJ ap-10679 148 24 oscillator oscillator NOUN ap-10679 148 25 ) ) PUNCT ap-10679 148 26 operations operation NOUN ap-10679 148 27 indicating indicate VERB ap-10679 148 28 situation situation NOUN ap-10679 148 29 when when SCONJ ap-10679 148 30 such such ADJ ap-10679 148 31 transform transform VERB ap-10679 148 32 arise arise NOUN ap-10679 148 33 . . PUNCT ap-10679 149 1 acknowledgements acknowledgement NOUN ap-10679 149 2 the the DET ap-10679 149 3 work work NOUN ap-10679 149 4 was be AUX ap-10679 149 5 supported support VERB ap-10679 149 6 by by ADP ap-10679 149 7 the the DET ap-10679 149 8 czech czech PROPN ap-10679 149 9 science science PROPN ap-10679 149 10 foundation foundation PROPN ap-10679 149 11 ( ( PUNCT ap-10679 149 12 gačr gačr NOUN ap-10679 149 13 ) ) PUNCT ap-10679 149 14 project project NOUN ap-10679 149 15 number number NOUN ap-10679 149 16 23 23 NUM ap-10679 149 17 - - SYM ap-10679 149 18 07169s 07169s NUM ap-10679 149 19 , , PUNCT ap-10679 149 20 rvo14000 rvo14000 NOUN ap-10679 149 21 , , PUNCT ap-10679 149 22 and and CCONJ ap-10679 149 23 by by ADP ap-10679 149 24 the the DET ap-10679 149 25 project project NOUN ap-10679 149 26 “ " PUNCT ap-10679 149 27 centre centre NOUN ap-10679 149 28 for for ADP ap-10679 149 29 advanced advanced ADJ ap-10679 149 30 applied apply VERB ap-10679 149 31 sciences science NOUN ap-10679 149 32 ” " PUNCT ap-10679 149 33 , , PUNCT ap-10679 149 34 registry registry NOUN ap-10679 149 35 no no INTJ ap-10679 149 36 . . PUNCT ap-10679 149 37 cz.02.1.01/0.0/0.0/16_019/0000778 cz.02.1.01/0.0/0.0/16_019/0000778 PROPN ap-10679 149 38 , , PUNCT ap-10679 149 39 supported support VERB ap-10679 149 40 by by ADP ap-10679 149 41 the the DET ap-10679 149 42 operational operational ADJ ap-10679 149 43 programme programme NOUN ap-10679 149 44 research research NOUN ap-10679 149 45 , , PUNCT ap-10679 149 46 development development NOUN ap-10679 149 47 and and CCONJ ap-10679 149 48 education education NOUN ap-10679 149 49 , , PUNCT ap-10679 149 50 co co VERB ap-10679 149 51 - - VERB ap-10679 149 52 financed finance VERB ap-10679 149 53 by by ADP ap-10679 149 54 the the DET ap-10679 149 55 european european ADJ ap-10679 149 56 structural structural ADJ ap-10679 149 57 and and CCONJ ap-10679 149 58 investment investment NOUN ap-10679 149 59 funds fund NOUN ap-10679 149 60 and and CCONJ ap-10679 149 61 the the DET ap-10679 149 62 state state NOUN ap-10679 149 63 budget budget NOUN ap-10679 149 64 of of ADP ap-10679 149 65 the the DET ap-10679 149 66 czech czech PROPN ap-10679 149 67 republic republic NOUN ap-10679 149 68 . . PUNCT ap-10679 150 1 the the DET ap-10679 150 2 support support NOUN ap-10679 150 3 by by ADP ap-10679 150 4 the the DET ap-10679 150 5 european european PROPN ap-10679 150 6 union union PROPN ap-10679 150 7 ’s ’s PART ap-10679 150 8 research research NOUN ap-10679 150 9 and and CCONJ ap-10679 150 10 innovation innovation NOUN ap-10679 150 11 program program NOUN ap-10679 150 12 under under ADP ap-10679 150 13 epique epique ADJ ap-10679 150 14 project project NOUN ap-10679 150 15 ga ga PROPN ap-10679 150 16 no no INTJ ap-10679 150 17 . . PROPN ap-10679 150 18 101135288 101135288 NUM ap-10679 150 19 is be AUX ap-10679 150 20 acknowledged acknowledge VERB ap-10679 150 21 . . PUNCT ap-10679 151 1 references reference NOUN ap-10679 151 2 [ [ X ap-10679 151 3 1 1 NUM ap-10679 151 4 ] ] PUNCT ap-10679 151 5 m. m. NOUN ap-10679 151 6 pont pont NOUN ap-10679 151 7 , , PUNCT ap-10679 151 8 g. g. PROPN ap-10679 151 9 corrielli corrielli PROPN ap-10679 151 10 , , PUNCT ap-10679 151 11 a. a. PROPN ap-10679 151 12 fyrillas fyrillas PROPN ap-10679 151 13 , , PUNCT ap-10679 151 14 et et PROPN ap-10679 151 15 al al PROPN ap-10679 151 16 . . PROPN ap-10679 151 17 high high PROPN ap-10679 151 18 - - PUNCT ap-10679 151 19 fidelity fidelity NOUN ap-10679 151 20 four four NUM ap-10679 151 21 - - PUNCT ap-10679 151 22 photon photon NOUN ap-10679 151 23 ghz ghz NOUN ap-10679 151 24 states state NOUN ap-10679 151 25 on on ADP ap-10679 151 26 chip chip NOUN ap-10679 151 27 . . PUNCT ap-10679 152 1 npj npj PROPN ap-10679 152 2 quantum quantum PROPN ap-10679 152 3 information information NOUN ap-10679 152 4 10(1):50 10(1):50 NUM ap-10679 152 5 , , PUNCT ap-10679 152 6 2024 2024 NUM ap-10679 152 7 . . PUNCT ap-10679 153 1 https://doi.org/10.1038/s41534-024-00830-z https://doi.org/10.1038/s41534-024-00830-z PROPN ap-10679 153 2 [ [ X ap-10679 153 3 2 2 NUM ap-10679 153 4 ] ] PUNCT ap-10679 153 5 m. m. NOUN ap-10679 153 6 ghaderibaneh ghaderibaneh PROPN ap-10679 153 7 , , PUNCT ap-10679 153 8 h. h. PROPN ap-10679 153 9 gupta gupta PROPN ap-10679 153 10 , , PUNCT ap-10679 153 11 c. c. PROPN ap-10679 153 12 r. r. PROPN ap-10679 153 13 ramakrishnan ramakrishnan PROPN ap-10679 153 14 . . PUNCT ap-10679 154 1 generation generation NOUN ap-10679 154 2 and and CCONJ ap-10679 154 3 distribution distribution NOUN ap-10679 154 4 of of ADP ap-10679 154 5 ghz ghz NOUN ap-10679 154 6 states state NOUN ap-10679 154 7 in in ADP ap-10679 154 8 quantum quantum ADJ ap-10679 154 9 networks network NOUN ap-10679 154 10 . . PUNCT ap-10679 155 1 in in ADP ap-10679 155 2 2023 2023 NUM ap-10679 155 3 ieee ieee NOUN ap-10679 155 4 international international ADJ ap-10679 155 5 conference conference NOUN ap-10679 155 6 on on ADP ap-10679 155 7 quantum quantum NOUN ap-10679 155 8 computing computing NOUN ap-10679 155 9 and and CCONJ ap-10679 155 10 engineering engineering NOUN ap-10679 155 11 ( ( PUNCT ap-10679 155 12 qce qce NOUN ap-10679 155 13 ) ) PUNCT ap-10679 155 14 , , PUNCT ap-10679 155 15 vol vol NOUN ap-10679 155 16 . . PROPN ap-10679 155 17 1 1 NUM ap-10679 155 18 , , PUNCT ap-10679 155 19 pp pp ADJ ap-10679 155 20 . . PUNCT ap-10679 156 1 1120–1131 1120–1131 NUM ap-10679 156 2 . . PUNCT ap-10679 157 1 bellevue bellevue PROPN ap-10679 157 2 , , PUNCT ap-10679 157 3 wa wa PROPN ap-10679 157 4 usa usa PROPN ap-10679 157 5 , , PUNCT ap-10679 157 6 2023 2023 NUM ap-10679 157 7 . . PUNCT ap-10679 157 8 https://doi.org/10.1109/qce57702.2023.00127 https://doi.org/10.1109/qce57702.2023.00127 X ap-10679 158 1 [ [ X ap-10679 158 2 3 3 X ap-10679 158 3 ] ] X ap-10679 158 4 j. j. PROPN ap-10679 158 5 peřina peřina PROPN ap-10679 158 6 . . PUNCT ap-10679 158 7 quantum quantum PROPN ap-10679 158 8 theory theory NOUN ap-10679 158 9 of of ADP ap-10679 158 10 linear linear PROPN ap-10679 158 11 and and CCONJ ap-10679 158 12 nonlinear nonlinear ADJ ap-10679 158 13 optical optical ADJ ap-10679 158 14 phenomena phenomenon NOUN ap-10679 158 15 . . PUNCT ap-10679 159 1 dordrecht dordrecht PROPN ap-10679 159 2 , , PUNCT ap-10679 159 3 north north NOUN ap-10679 159 4 holland holland PROPN ap-10679 159 5 , , PUNCT ap-10679 159 6 1984 1984 NUM ap-10679 159 7 . . PUNCT ap-10679 160 1 isbn isbn ADJ ap-10679 160 2 90 90 NUM ap-10679 160 3 - - PUNCT ap-10679 160 4 277 277 NUM ap-10679 160 5 - - PUNCT ap-10679 160 6 1512 1512 NUM ap-10679 160 7 - - SYM ap-10679 160 8 2 2 NUM ap-10679 160 9 . . NUM ap-10679 160 10 518 518 NUM ap-10679 160 11 https://doi.org/10.1038/s41534-024-00830-z https://doi.org/10.1038/s41534-024-00830-z NOUN ap-10679 160 12 https://doi.org/10.1109/qce57702.2023.00127 https://doi.org/10.1109/qce57702.2023.00127 NOUN ap-10679 160 13 vol vol NOUN ap-10679 160 14 . . PROPN ap-10679 161 1 65 65 NUM ap-10679 161 2 no no NOUN ap-10679 161 3 . . PUNCT ap-10679 162 1 5/2025 5/2025 NUM ap-10679 162 2 unitary unitary ADJ ap-10679 162 3 generation generation NOUN ap-10679 162 4 of of ADP ap-10679 162 5 ghz ghz NOUN ap-10679 162 6 states state NOUN ap-10679 162 7 [ [ X ap-10679 162 8 4 4 X ap-10679 162 9 ] ] X ap-10679 162 10 e. e. PROPN ap-10679 162 11 wolf wolf PROPN ap-10679 162 12 , , PUNCT ap-10679 162 13 l. l. PROPN ap-10679 162 14 mandel mandel PROPN ap-10679 162 15 . . PROPN ap-10679 163 1 optical optical ADJ ap-10679 163 2 coherence coherence NOUN ap-10679 163 3 and and CCONJ ap-10679 163 4 quantum quantum NOUN ap-10679 163 5 optics optic NOUN ap-10679 163 6 . . PUNCT ap-10679 164 1 cambridge cambridge PROPN ap-10679 164 2 university university PROPN ap-10679 164 3 press press NOUN ap-10679 164 4 , , PUNCT ap-10679 164 5 1995 1995 NUM ap-10679 164 6 . . PUNCT ap-10679 165 1 isbn isbn PROPN ap-10679 165 2 0 0 NUM ap-10679 165 3 - - SYM ap-10679 165 4 521 521 NUM ap-10679 165 5 - - PUNCT ap-10679 165 6 41711 41711 NUM ap-10679 165 7 - - SYM ap-10679 165 8 2 2 NUM ap-10679 165 9 . . PUNCT ap-10679 165 10 https://doi.org/10.1017/cbo9781139644105 https://doi.org/10.1017/cbo9781139644105 NOUN ap-10679 166 1 [ [ X ap-10679 166 2 5 5 NUM ap-10679 166 3 ] ] PUNCT ap-10679 166 4 a. a. NOUN ap-10679 166 5 einstein einstein PROPN ap-10679 166 6 , , PUNCT ap-10679 166 7 b. b. PROPN ap-10679 166 8 podolsky podolsky PROPN ap-10679 166 9 , , PUNCT ap-10679 166 10 n. n. PROPN ap-10679 166 11 rosen rosen PROPN ap-10679 166 12 . . PUNCT ap-10679 167 1 can can AUX ap-10679 167 2 quantum quantum ADJ ap-10679 167 3 - - ADJ ap-10679 167 4 mechanical mechanical ADJ ap-10679 167 5 description description NOUN ap-10679 167 6 of of ADP ap-10679 167 7 physical physical ADJ ap-10679 167 8 reality reality NOUN ap-10679 167 9 be be AUX ap-10679 167 10 considered consider VERB ap-10679 167 11 complete complete ADJ ap-10679 167 12 ? ? PUNCT ap-10679 168 1 physical physical ADJ ap-10679 168 2 review review PROPN ap-10679 168 3 47(10):777–780 47(10):777–780 PROPN ap-10679 168 4 , , PUNCT ap-10679 168 5 1935 1935 NUM ap-10679 168 6 . . PUNCT ap-10679 169 1 https://doi.org/10.1103/physrev.47.777 https://doi.org/10.1103/physrev.47.777 NOUN ap-10679 170 1 [ [ X ap-10679 170 2 6 6 NUM ap-10679 170 3 ] ] X ap-10679 170 4 d. d. PROPN ap-10679 170 5 m. m. PROPN ap-10679 170 6 greenberger greenberger PROPN ap-10679 170 7 , , PUNCT ap-10679 170 8 m. m. NOUN ap-10679 170 9 a. a. PROPN ap-10679 170 10 horne horne PROPN ap-10679 170 11 , , PUNCT ap-10679 170 12 a. a. NOUN ap-10679 170 13 zeilinger zeilinger NOUN ap-10679 170 14 . . PUNCT ap-10679 171 1 going go VERB ap-10679 171 2 beyond beyond ADP ap-10679 171 3 bell bell PROPN ap-10679 171 4 ’s ’s PART ap-10679 171 5 theorem theorem PROPN ap-10679 171 6 . . PROPN ap-10679 172 1 in in ADP ap-10679 172 2 m. m. NOUN ap-10679 172 3 kafatos kafatos PROPN ap-10679 172 4 ( ( PUNCT ap-10679 172 5 ed ed NOUN ap-10679 172 6 . . PUNCT ap-10679 172 7 ) ) PUNCT ap-10679 172 8 , , PUNCT ap-10679 172 9 bell bell PROPN ap-10679 172 10 ’s ’s PART ap-10679 172 11 theorem theorem ADJ ap-10679 172 12 , , PUNCT ap-10679 172 13 quantum quantum ADJ ap-10679 172 14 theory theory NOUN ap-10679 172 15 and and CCONJ ap-10679 172 16 conceptions conception NOUN ap-10679 172 17 of of ADP ap-10679 172 18 the the DET ap-10679 172 19 universe universe NOUN ap-10679 172 20 , , PUNCT ap-10679 172 21 vol vol NOUN ap-10679 172 22 . . PROPN ap-10679 172 23 37 37 NUM ap-10679 172 24 , , PUNCT ap-10679 172 25 pp pp ADJ ap-10679 172 26 . . PUNCT ap-10679 172 27 69–72 69–72 NUM ap-10679 172 28 . . PUNCT ap-10679 173 1 kluwer kluwer NOUN ap-10679 173 2 academic academic ADJ ap-10679 173 3 publishers publisher NOUN ap-10679 173 4 , , PUNCT ap-10679 173 5 1989 1989 NUM ap-10679 173 6 . . PUNCT ap-10679 174 1 https://doi.org/10.1007/978-94-017-0849-4_10 https://doi.org/10.1007/978-94-017-0849-4_10 NOUN ap-10679 174 2 [ [ X ap-10679 174 3 7 7 NUM ap-10679 174 4 ] ] PUNCT ap-10679 174 5 k. k. PROPN ap-10679 174 6 vogel vogel PROPN ap-10679 174 7 , , PUNCT ap-10679 174 8 v. v. ADP ap-10679 174 9 m. m. PROPN ap-10679 174 10 akulin akulin PROPN ap-10679 174 11 , , PUNCT ap-10679 174 12 w. w. PROPN ap-10679 174 13 p. p. PROPN ap-10679 174 14 schleich schleich PROPN ap-10679 174 15 . . PUNCT ap-10679 175 1 quantum quantum PROPN ap-10679 175 2 state state NOUN ap-10679 175 3 engineering engineering NOUN ap-10679 175 4 of of ADP ap-10679 175 5 the the DET ap-10679 175 6 radiation radiation NOUN ap-10679 175 7 field field NOUN ap-10679 175 8 . . PUNCT ap-10679 176 1 physical physical ADJ ap-10679 176 2 review review PROPN ap-10679 176 3 letters letter NOUN ap-10679 176 4 71(12):1816–1819 71(12):1816–1819 NUM ap-10679 176 5 , , PUNCT ap-10679 176 6 1993 1993 NUM ap-10679 176 7 . . PUNCT ap-10679 177 1 https://doi.org/10.1103/physrevlett.71.1816 https://doi.org/10.1103/physrevlett.71.1816 NOUN ap-10679 178 1 [ [ X ap-10679 178 2 8 8 X ap-10679 178 3 ] ] X ap-10679 178 4 w. w. PROPN ap-10679 178 5 e. e. PROPN ap-10679 178 6 lamb lamb PROPN ap-10679 178 7 . . PUNCT ap-10679 179 1 an an DET ap-10679 179 2 operational operational ADJ ap-10679 179 3 interpretation interpretation NOUN ap-10679 179 4 of of ADP ap-10679 179 5 nonrelativistic nonrelativistic ADJ ap-10679 179 6 quantum quantum ADJ ap-10679 179 7 mechanics mechanic NOUN ap-10679 179 8 . . PUNCT ap-10679 180 1 physics physics PROPN ap-10679 180 2 today today NOUN ap-10679 180 3 22(4):22–28 22(4):22–28 NUM ap-10679 180 4 , , PUNCT ap-10679 180 5 1969 1969 NUM ap-10679 180 6 . . PUNCT ap-10679 181 1 https://doi.org/10.1063/1.3035523 https://doi.org/10.1063/1.3035523 PROPN ap-10679 182 1 [ [ X ap-10679 182 2 9 9 NUM ap-10679 182 3 ] ] X ap-10679 182 4 r. r. PROPN ap-10679 182 5 loudon loudon PROPN ap-10679 182 6 , , PUNCT ap-10679 182 7 p. p. PROPN ap-10679 182 8 l. l. PROPN ap-10679 182 9 knight knight PROPN ap-10679 182 10 . . PUNCT ap-10679 183 1 squeezed squeeze VERB ap-10679 183 2 light light NOUN ap-10679 183 3 . . PUNCT ap-10679 184 1 journal journal NOUN ap-10679 184 2 of of ADP ap-10679 184 3 modern modern ADJ ap-10679 184 4 optics optic NOUN ap-10679 184 5 34(6–7):709–759 34(6–7):709–759 NUM ap-10679 184 6 , , PUNCT ap-10679 184 7 1987 1987 NUM ap-10679 184 8 . . PUNCT ap-10679 185 1 https://doi.org/10.1080/09500348714550721 https://doi.org/10.1080/09500348714550721 NOUN ap-10679 186 1 [ [ X ap-10679 186 2 10 10 NUM ap-10679 186 3 ] ] PUNCT ap-10679 186 4 h. h. PROPN ap-10679 186 5 paul paul PROPN ap-10679 186 6 . . PUNCT ap-10679 187 1 induzierte induzierte PROPN ap-10679 187 2 emission emission NOUN ap-10679 187 3 bei bei X ap-10679 187 4 starker starker ADV ap-10679 187 5 einstrahlung einstrahlung NOUN ap-10679 188 1 [ [ X ap-10679 188 2 in in ADP ap-10679 188 3 german german ADJ ap-10679 188 4 ; ; PUNCT ap-10679 188 5 induced induce VERB ap-10679 188 6 emission emission NOUN ap-10679 188 7 under under ADP ap-10679 188 8 strong strong ADJ ap-10679 188 9 irradiation irradiation NOUN ap-10679 188 10 ] ] PUNCT ap-10679 188 11 . . PUNCT ap-10679 189 1 annalen annalen PROPN ap-10679 189 2 der der PROPN ap-10679 189 3 physik physik PROPN ap-10679 189 4 466(7–8):411–412 466(7–8):411–412 NUM ap-10679 189 5 , , PUNCT ap-10679 189 6 1963 1963 NUM ap-10679 189 7 . . PUNCT ap-10679 190 1 https://doi.org/10.1002/andp.19634660710 https://doi.org/10.1002/andp.19634660710 ADJ ap-10679 190 2 [ [ X ap-10679 190 3 11 11 NUM ap-10679 190 4 ] ] PUNCT ap-10679 190 5 e. e. PROPN ap-10679 190 6 t. t. PROPN ap-10679 190 7 jaynes jaynes PROPN ap-10679 190 8 , , PUNCT ap-10679 190 9 f. f. PROPN ap-10679 190 10 w. w. PROPN ap-10679 190 11 cummings cummings PROPN ap-10679 190 12 . . PUNCT ap-10679 191 1 comparison comparison NOUN ap-10679 191 2 of of ADP ap-10679 191 3 quantum quantum ADJ ap-10679 191 4 and and CCONJ ap-10679 191 5 semiclassical semiclassical ADJ ap-10679 191 6 radiation radiation NOUN ap-10679 191 7 theories theory NOUN ap-10679 191 8 with with ADP ap-10679 191 9 application application NOUN ap-10679 191 10 to to ADP ap-10679 191 11 the the DET ap-10679 191 12 beam beam NOUN ap-10679 191 13 maser maser NOUN ap-10679 191 14 . . PUNCT ap-10679 192 1 proceedings proceeding NOUN ap-10679 192 2 of of ADP ap-10679 192 3 the the DET ap-10679 192 4 ieee ieee NOUN ap-10679 192 5 51(1):89–109 51(1):89–109 NUM ap-10679 192 6 , , PUNCT ap-10679 192 7 1963 1963 NUM ap-10679 192 8 . . PUNCT ap-10679 193 1 https://doi.org/10.1109/proc.1963.1664 https://doi.org/10.1109/proc.1963.1664 PROPN ap-10679 193 2 519 519 NUM ap-10679 193 3 https://doi.org/10.1017/cbo9781139644105 https://doi.org/10.1017/cbo9781139644105 NOUN ap-10679 193 4 https://doi.org/10.1103/physrev.47.777 https://doi.org/10.1103/physrev.47.777 PROPN ap-10679 193 5 https://doi.org/10.1007/978-94-017-0849-4_10 https://doi.org/10.1007/978-94-017-0849-4_10 PROPN ap-10679 193 6 https://doi.org/10.1103/physrevlett.71.1816 https://doi.org/10.1103/physrevlett.71.1816 NOUN ap-10679 193 7 https://doi.org/10.1063/1.3035523 https://doi.org/10.1063/1.3035523 PROPN ap-10679 193 8 https://doi.org/10.1080/09500348714550721 https://doi.org/10.1080/09500348714550721 NOUN ap-10679 193 9 https://doi.org/10.1002/andp.19634660710 https://doi.org/10.1002/andp.19634660710 VERB ap-10679 193 10 https://doi.org/10.1109/proc.1963.1664 https://doi.org/10.1109/proc.1963.1664 PROPN ap-10679 193 11 acta acta PROPN ap-10679 193 12 polytechnica polytechnica PROPN ap-10679 193 13 65(5):515–519 65(5):515–519 PROPN ap-10679 193 14 , , PUNCT ap-10679 193 15 2025 2025 NUM ap-10679 193 16 1 1 NUM ap-10679 193 17 introduction introduction NOUN ap-10679 193 18 2 2 NUM ap-10679 193 19 quantum quantum NOUN ap-10679 193 20 state state NOUN ap-10679 193 21 generation generation NOUN ap-10679 193 22 3 3 NUM ap-10679 193 23 ghz ghz NOUN ap-10679 193 24 state state NOUN ap-10679 193 25 generation generation NOUN ap-10679 193 26 4 4 NUM ap-10679 193 27 conclusion conclusion NOUN ap-10679 193 28 acknowledgements acknowledgement NOUN ap-10679 193 29 references reference NOUN