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Fidelity between Gaussian mixed states with quantum state quadrature variances |
Hai-Long Zhang(张海龙)1,2,3, Chun Zhou(周淳)1,2, Jian-Hong Shi(史建红)1,2, Wan-Su Bao(鲍皖苏)1,2 |
1 Zhengzhou Information Science and Technology Institute, Zhengzhou 450004, China; 2 Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China, Hefei 230026, China; 3 Science and Technology on Information Assurance Laboratory, Beijing 100071, China |
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Abstract In this paper, from the original definition of fidelity in a pure state, we first give a well-defined expansion fidelity between two Gaussian mixed states. It is related to the variances of output and input states in quantum information processing. It is convenient to quantify the quantum teleportation (quantum clone) experiment since the variances of the input (output) state are measurable. Furthermore, we also give a conclusion that the fidelity of a pure input state is smaller than the fidelity of a mixed input state in the same quantum information processing.
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Received: 23 April 2015
Revised: 30 November 2015
Accepted manuscript online:
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PACS:
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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Fund: Project supported by the National Basic Research Program of China (Grant No. 2013CB338002) and the Foundation of Science and Technology on Information Assurance Laboratory (Grant No. KJ-14-001). |
Corresponding Authors:
Hai-Long Zhang
E-mail: zhhl049@126.com
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Cite this article:
Hai-Long Zhang(张海龙), Chun Zhou(周淳), Jian-Hong Shi(史建红), Wan-Su Bao(鲍皖苏) Fidelity between Gaussian mixed states with quantum state quadrature variances 2016 Chin. Phys. B 25 040304
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[1] |
Wan Z L, Fan H Y and Wang Z 2015 Chin. Phys. B 24 0120301
|
[2] |
Zhang G P, Zheng K M, Liu S Y and Hu L Y 2014 Chin. Phys. B 23 050301
|
[3] |
Wu S, Liang L M and Li C Z 2007 Chin. Phys. 16 1229
|
[4] |
Peters N A, Wei T C, and Paul G K 2004 Phys. Rev. A 70 052309
|
[5] |
Schumacher B 1995 Phys. Rev. A 51 2738
|
[6] |
Jozsa R 1994 J. Mod. Opt. 41 2315
|
[7] |
Uhlmann A 1976 Rep. Math. Phys. 9 273
|
[8] |
Schumacher B 1996 Phys. Rev. A 54 2614
|
[9] |
Braunstein S L, Fuchs C A and Kimble H J 2000 J. Mod. Opt. 47 267
|
[10] |
Braunstein S L, Fuchs C A, Kimble H J and Loock P V 2001 Phys. Rev. A 64 022321
|
[11] |
Hammerer K, Wolf M M, Polzik E S and Cirac J I 2005 Phys. Rev. Lett. 94 150503
|
[12] |
Ban M 2004 Phys. Rev. A 69 054304
|
[13] |
Grosshans F and Grangier P 2001 Phys. Rev. A 64 010301
|
[14] |
Furusawa A, Srensen J L, Braunstein S L, Fuchs C A, Kimble H J and Polzik E S 1998 Science 282 706
|
[15] |
Aharonov Y and Albert D 1981 Phys. Rev. D 24 359
|
[16] |
Grangier P and Grosshans F 2001 e-print quant-ph/0010107
|
[17] |
Zhang H L, Liang W D, Liu K, Zhang J X and Gao J R 2012 J. Phys. B: At. Mol. Opt. Phys. 45 115501
|
[18] |
Bowen W P, Treps N, Buchler B C, Schnabel R, Ralph T C and Bachor H A 2003 Phys. Rev. A 67 032302
|
[19] |
Zhang T C, Goh K W, Chou C W, Lodahl P and Kimble H J 2003 Phys. Rev. A 67 033802
|
[20] |
Zhai Z H, Li Y M, Wang S K, Guo J, Zhang T C and Gao J R 2005 Acta Phys. Sin. 54 2710 (in Chinese)
|
[21] |
Takei N, Yonezawa H, Aoki T and Furusawa A 2005 Phys. Rev. Lett. 94 220502
|
[22] |
Jia X J, Su X L, Pan Q, Gao J R, Xie C D and Peng K C 2004 Phys. Rev. Lett. 93 250503
|
[23] |
Glöckl O, Lorenz S, Marquardt C, Heersink J, Brownnutt M, Silberhorn C, Pan Q, Loock P V, Korolkova N and Leuchs G 2003 Phys. Rev. A 68 012319
|
[24] |
Lee N, Benichi H, Takeno Y, Takeda S, Webb J, Huntington E and Furusawa A 2011 Science 332 330
|
[25] |
Andersen U L, Josse V and Leuchs G 2005 Phys. Rev. Lett. 94 240503
|
[26] |
Takei N, Aoki T, Koike S, Yoshino K, Wakui K, Yonezawa H, Hiraoka T, Mizuno J, Takeoka M, Ban M and Furusawa A 2005 Phys. Rev. A 72 042304
|
[27] |
Mista L, Filip R and Furusawa A 2010 Phys. Rev. A 82 012322
|
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