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Deterministic nondestructive state analysis for polarization-spatial-time-bin hyperentanglement with cross-Kerr nonlinearity |
| Hui-Rong Zhang(张辉荣), Peng Wang(王鹏), Chang-Qi Yu(于长琦), and Bao-Cang Ren(任宝藏)† |
| 1 Department of Physics, Capital Normal University, Beijing 100048, China |
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Abstract We present a deterministic nondestructive hyperentangled Bell state analysis protocol for photons entangled in three degrees of freedom (DOFs), including polarization, spatial-mode, and time-bin DOFs. The polarization Bell state analyzer and spatial-mode Bell state analyzer are constructed by polarization parity-check quantum nondemolition detector (P-QND) and spatial-mode parity-check quantum nondemolition detector (S-QND) using cross-Kerr nonlinearity, respectively. The time-bin Bell state analyzer is constructed by the swap gate for polarization state and time-bin state of a photon (P-T swap gate) and P-QND. The Bell states analyzer for one DOF will not destruct the Bell states of other two DOFs, so the polarization-spatial-time-bin hyperentangled Bell states can be determinately distinguished without destruction. This deterministic nondestructive state analysis method has useful applications in quantum information protocols.
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Received: 24 November 2020
Revised: 26 December 2020
Accepted manuscript online: 04 January 2021
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PACS:
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03.67.-a
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(Quantum information)
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03.67.Hk
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(Quantum communication)
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03.67.Dd
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(Quantum cryptography and communication security)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11604226) and Science and Technology Program Foundation of the Beijing Municipal Commission of Education of China (Grants No. CIT&TCD201904080). |
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Corresponding Authors:
†Corresponding author. E-mail: renbaocang@cnu.edu.cn
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Cite this article:
Hui-Rong Zhang(张辉荣), Peng Wang(王鹏), Chang-Qi Yu(于长琦), and Bao-Cang Ren(任宝藏) Deterministic nondestructive state analysis for polarization-spatial-time-bin hyperentanglement with cross-Kerr nonlinearity 2021 Chin. Phys. B 30 030304
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1 Ekert A K 1991 Phys. Rev. Lett. 67 661
2 Bennett C H, Brassard G and David Mermin N 1992 Phys. Rev. Lett. 68 557
3 Li X, Yuan H W, Zhang C M and Wang Q 2020 Chin. Phys. B 29 070303
4 Zhou N R, Zhu K N and Zou X F 2019 Ann. Phys. (Berlin) 531 1800520
5 Li H H, Gong L H and Zhou N R 2020 Chin. Phys. B 29 110304
6 Gao F 2020 Quant. Engineering 2 e33
7 Li Y 2020 Quant. Engineering 2 e46
8 Bennett C H and Wiesner S J 1992 Phys. Rev. Lett. 69 2881
9 Liu X S, Long G L, Tong D M and Li F 2002 Phys. Rev. A 65 022304
10 Bennett C H, Brassard G, Cr\'epeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
11 Yang L, Liu Y C and Li Y S 2020 Chin. Phys. B 29 060301
12 Hillery M, Bu\vzek V and Berthiaume A 1999 Phys. Rev. A 59 1829
13 Karlsson A, Koashi M and Imoto N 1999 Phys. Rev. A 59 162
14 Xiao L, Long G L, Deng F G and Pan J W 2004 Phys. Rev. A 69 052307
15 Luo G F, Zhou R G and Hu W W 2019 Chin. Phys. B 28 040302
16 \.Zukowski M, Zeilinger A, Horne M A and Ekert A K 1993 Phys. Rev. Lett. 71 4287
17 Long G L and Liu X S 2002 Phys. Rev. A 65 032302
18 Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
19 Deng F G and Long G L 2004 Phys. Rev. A 69 052319
20 Zhou Z R, Sheng Y B, Niu P H, Yin L G, Long G L and Hanzo L 2020 Sci. China: Phys., Mech. Astron. 63 230362
21 He R, Ma J G and Wu J W 2019 EPL 127 50006
22 Chen S S, Zhou L, Zhong W and Sheng Y B 2018 Sci. China Phys. Mech. Astron. 61 090312
23 Zhou L, Sheng Y B and Long G L 2020 Sci. Bull. 65 12
24 Zhou L and Sheng Y B 2015 Phys. Rev. A 92 042314
25 Sheng Y B and Zhou L Scientific Reports 5 13453
26 Li T, Miranowicz A, Xia K and Nori F 2019 Phys. Rev. A 100 052302
27 Kwiat P G 1997 J. Modern Opt. 44 2173
28 Yabushita A and Kobayashi T 2004 Phys. Rev. A 69 013806
29 Schuck C, Huber G, Kurtsiefer C and Weinfurter H 2006 Phys. Rev. Lett. 96 190501
30 Barbieri M, Vallone G, Mataloni P and De Martini F 2007 Phys. Rev. A 75 042317
31 Vallone G, Ceccarelli R, De Martini F and Mataloni P 2009 Phys. Rev. A 79 030301(R)
32 Barbieri M, Cinelli C, Mataloni P and De Martini F 2005 Phys. Rev. A 72 052110
33 Barreiro J T, Langford N K, Peters N A and Kwiat P G 2005 Phys. Rev. Lett. 95 260501
34 Barreiro J T, Wei T C and Kwiat P G 2008 Nat. Phys. 4 282
35 Kwiat P G and Weinfurter H 1998 Phys. Rev. A 58 2623(R)
36 Walborn S P, P\'adua S and Monken C H 2003 Phys. Rev. A 68 042313
37 Wilde M M and Uskov D B 2009 Phys. Rev. A 79 022305
38 Li T, Wang G Y, Deng F G and Long G L 2016 Sci. Rep. 6 20677
39 Cerf N J, Bourennane M, Karlsson A and Gisin N 2002 Phys. Rev. Lett. 88 127902
40 Bru\ss D and Macchiavello C 2002 Phys. Rev. Lett. 88 127901
41 Wang T J, Song S Y and Long G L 2012 Phys. Rev. A 85 062311
42 Simon C and Pan J W 2002 Phys. Rev. Lett. 89 257901
43 Sheng Y B and Deng F G 2010 Phys. Rev. A 81 032307
44 Li X H 2010 Phys. Rev. A 82 044304
45 Sheng Y B and Deng F G 2010 Phys. Rev. A 82 044305
46 Wu X D, Zhou L, Zhong W and Sheng Y B 2020 Quant. Inf. Process. 19 354
47 Zou Z K, Zhou L, Zhong W and Sheng Y B 2020 Europhys. Lett. 131 40005
48 Cui Z X, Zhong W, Zhou L and Sheng Y B 2019 Sci. China Phys. Mech. Astron. 62 110311
49 Li X H and Ghose S 2017 Phys. Rev. A 96 020303(R)
50 Sheng Y B, Deng F G and Long G L 2010 Phys. Rev. A 82 032318
51 Wang X L, Cai X D, Su Z E, Chen M C, Wu D, Li L, Liu N L, Lu C Y and Pan J W 2015 Nature 518 516
52 Ren B C, Wei H R, Hua M, Li T and Deng F G 2012 Opt. Express 20 24664
53 Ren B C, Du F F and Deng F G 2014 Phys. Rev. A 90 052309
54 Wang T J, Liu L L, Zhang R, Cao C and Wang C 2015 Opt. Express 23 9284
55 Wang G Y, Liu Q and Deng F G 2016 Phys. Rev. A 94 032319
56 Ren B C, Du F F and Deng F G 2013 Phys. Rev. A 88 012302
57 Li X H and Ghose S 2015 Phys. Rev. A 91 062302
58 Wei T C, Barreiro J T and Kwiat P G 2007 Phys. Rev. A 75 060305(R)
59 Graham T M, Zeitler C K and Kwiat P G2015 in Frontiers in Optics, OSA Technical Digest(Washington, DC: Optical Society of America) paper FTh3D.4
60 Gao C Y, Ren B C, Zhang Y X and Deng F G Appl. Phys. Express 13 027004
61 Gao C Y, Ren B C, Zhang Y X, Ai Q and Deng F G 2019 Ann. Phys. (Berlin) 531 1900201
62 Zeng Z and Zhu K D 2020 Laser Phys. Lett. 17 075203
63 Zeng Z and Zhu K D 2020 New J. Phys. 22 083051
64 Wang T J, Lu Y and Long G L 2012 Phys. Rev. A 86 042337
65 Li X H and Ghose S 2016 Phys. Rev. A 93 022302
66 Li X H and Ghose S 2016 Opt. Express 24 18388
67 Cao C, Zhang L, Han Y H, Yin P P, Fan L, Duan Y W and Zhang R 2020 Opt. Express 28 2857
68 Xia Y, Chen Q Q, Song J and Song H S 2012 J. Opt. Soc. Am. B 29 1029
69 Liu Q, Wang G Y, Ai Q, Zhang M and Deng F G Scientific Reports 6 22016
70 Wang M Y, Yan F L and Gao T 2018 Laser Physics Letters 15 125206
71 Soudagar Y, Bussi\`eres F, Berl\'ín G, Lacroix S, Fernandez J M and Godbout N 2007 J. Opt. Soc. Amer. B 24 226
72 Kalamidas D Phys. Lett. A 343 331
73 Han X, Hu S, Guo Q, Wang H F and Zhang S 2015 Quant. Inf. Process. 14 1919
74 Dong L, Wang J X, Li Q Y, Shen H Z, Dong H K, Xiu X M and Oh C H 2016 Phys. Rev. A 93 012308
75 Liu A P, Cheng L Y, Guo Q, Zhang S and Zhao M X 2017 Sci. Rep. 7 43675
76 Wittmann C, Andersen U L, Takeoka M, Sych D and Leuchs G 2010 Phys. Rev. A 81 062338
77 Feizpour A, Xing X X and Steinberg A M 2011 Phys. Rev. Lett. 107 133603
78 He B, Lin Q and Simon C 2011 Phys. Rev. A 83 053826
79 Zhu C J and Huang G X 2011 Opt. Express 19 23364
80 Hoi I C, Kockum A F, Palomaki T, Stace T M, Fan B, Tornberg L, Sathyamoorthy S R, Johansson G, Delsing P and Wilson C M 2013 Phys. Rev. Lett. 111 053601
81 Sathyamoorthy S R, Tornberg L, Kockum A F, Baragiola B Q, Combes J, Wilson C M, Stace T M and Johansson G 2014 Phys. Rev. Lett. 112 093601
82 Xiong F L, Yang W L and Feng M 2020 Chin. Phys. B 29 040302 |
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