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General description of discriminating quantum operations |
Zhang Ke-Jia(张可佳)a)b)†, Zhu Ping(朱萍)b), Gao Fei(高飞)a), Guo Fen-Zhuo(郭奋卓)b), Qin Su-Juan(秦素娟)a), and Wen Qiao-Yan(温巧燕)a) |
a State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China; b School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China |
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Abstract The discrimination of quantum operations plays a key role in quantum information and computation. Unlike discriminating quantum states, it has some special properties which can be carried out in practice. In this paper, we provide a general description of discriminating quantum operations. Concretely speaking, we describe the distinguishability between quantum operations using a measure called operator fidelity. It is shown that, employing the theory of operator fidelity, we can not only verify some previous results to discriminate unitary operations, but also exhibit a more general discrimination condition. We further apply our results to analysing the security of some quantum cryptographic protocols and discuss the realization of our method using well-developed quantum algorithms.
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Received: 25 March 2011
Revised: 26 May 2011
Accepted manuscript online:
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PACS:
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03.67.Ac
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(Quantum algorithms, protocols, and simulations)
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03.65.Ta
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(Foundations of quantum mechanics; measurement theory)
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03.67.Dd
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(Quantum cryptography and communication security)
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03.67.Hk
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(Quantum communication)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60873191, 60903152, 61003286, 60821001, and 61070251), the Program for New Century Excellent Talents in University (Grant No. NCET-10-0260), the Specialized Research Fund for the Doctoral Program of Higher Education (Grant Nos. 200800131016 and 20090005110010), the Beijing Nova Program (Grant No. 2008B51), the Key Project of the Chinese Ministry of Education (Grant No. 109014), the Beijing Natural Science Foundation (Grant No. 4112040), and the Fundamental Research Funds for the Central Universities (Grant Nos. BUPT2011YB01 and BUPT2011RC0505). |
Cite this article:
Zhang Ke-Jia(张可佳), Zhu Ping(朱萍), Gao Fei(高飞), Guo Fen-Zhuo(郭奋卓), Qin Su-Juan(秦素娟), and Wen Qiao-Yan(温巧燕) General description of discriminating quantum operations 2011 Chin. Phys. B 20 100304
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[1] |
Qiu D and Li L 2010 Phys. Rev. A 81 042329
|
[2] |
Kleinmann M, Kampermann H and Bruss D 2010 Phys. Rev. A 81 020304
|
[3] |
Assalini A, Cariolaro G and Pierobon G 2010 Phys. Rev. A 81 012315
|
[4] |
Hayashi A, Hashimoto T and Horibe M 2008 Phys. Rev. A 78 012333
|
[5] |
Herzog U 2009 Phys. Rev. A 79 032323
|
[6] |
Kimura G, Miyadera T and Imai H 2009 Phys. Rev. A 79 062306
|
[7] |
Audenaert K M R, Calsamiglia J, Mu noz-Tapia R, Bagan E, Masanes L, Acin A and Verstraete F 2007 Phys. Rev. Lett. 98 160501
|
[8] |
Wootters W K 1981 Phys. Rev. D 23 357
|
[9] |
Braunstein S L and Caves C M 1994 Phys. Rev. Lett. 72 3439
|
[10] |
D'Ariano G M, LoPresti P and Paris M G A 2001 Phys. Rev. Lett. 87 270404
|
[11] |
Piani M and Watrous J 2009 Phys. Rev. Lett. 102 250501
|
[12] |
A quantum device is reusable, the input state for quantum devices can be chosen freely and there are many different schemes (in parallel or in sequential) to use a quantum device.
|
[13] |
Duan R Y, Feng Y and Ying M S 2007 Phys. Rev. Lett. 98 100503
|
[14] |
Ziman M 2008 Phys. Rev. A 77 062112
|
[15] |
Duan R Y, Feng Y and Ying M S 2008 Phys. Rev. Lett. 100 020503
|
[16] |
Ji Z F, Feng Y, Duan R Y and Ying M S 2006 Phys. Rev. Lett. 96 200401
|
[17] |
Wu X D and Duan R Y 2008 Phys. Rev. A 78 012303
|
[18] |
Chiribella G, D'Ariano G M and Perinotti P 2008 Phys. Rev. Lett. 101 060401
|
[19] |
Duan R Y, Feng Y and Ying M S 2009 Phys. Rev. Lett. 103 210501
|
[20] |
Childs A M, Preskill J and Renes J 2000 J. Mod. Opt. 47 155
|
[21] |
Ac'hin A 2001 Phys. Rev. Lett. 87 177901
|
[22] |
Laing A, Rudolph T and O'Brien J L 2009 Phys. Rev. Lett. 102 160502
|
[23] |
Zhang P, Peng L, Wang Z W, Ren X F, Liu B H, Huang Y F and Guo G C 2008 J. Phys. B: At. Mol. Opt. Phys. 41 195501
|
[24] |
Yao X W, Zeng B R, Liu Q, Mu X Y, Lin X C, Yang C, Pan J and Chen Z 2010 Acta Phys. Sin. 59 6837 (in Chinese)
|
[25] |
Giorda P and Zanardi P 2010 Phys. Rev. E 81 017203
|
[26] |
Wang X G, Sun Z and Wang Z D 2009 Phys. Rev. A 79 012105
|
[27] |
Lu X M, Sun Z, Wang X G and Zanardi P 2008 Phys. Rev. A 78 032309
|
[28] |
Zukowski M, Zeilinger A, Horne M A and Ekert A K 1993 Phys. Rev. Lett. 71 4287
|
[29] |
Wang X B 2005 Phys. Rev. Lett. 94 230503
|
[30] |
Ma X F, Fung C H F, Dupuis F, Chen K, Tamaki K and Lo H K 2006 Phys. Rev. A 74 032330
|
[31] |
Guo G P, Li C F, Shi B S, Li J and Guo G C 2001 Phys. Rev. A 64 042301
|
[32] |
Grosshans F 2005 Phys. Rev. Lett. 94 020504
|
[33] |
Cabello A 2000 Phys. Rev. A 61 052312
|
[34] |
Gao F, Guo F Z, Wen Q Y and Zhu F C 2006 Phys. Lett. A 349 53
|
[35] |
Zhang S, Wang J, Zhang Q and Tang Z J 2009 Acta Phys. Sin. 58 73 (in Chinese)
|
[36] |
Long G L and Liu X S 2002 Phys. Rev. A 65 032302
|
[37] |
Deng F G, Long G L and Liu X S 2003 Phys. Rev. A 68 042317
|
[38] |
Wang C, Deng F G and Long G L 2005 Opt. Commun. 253 15
|
[39] |
Lin S, Wen Q Y, Gao F and Zhu F C 2008 Phys. Rev. A 78 064304
|
[40] |
Quan D X, Pei C X, Liu D and Zhao N 2010 Acta Phys. Sin. 59 2493 (in Chinese)
|
[41] |
Qin S J, Gao F, Wen Q Y and Zhu F C 2007 Phys. Rev. A 76 062324
|
[42] |
Qin S J, Gao F, Wen Q Y and Zhu F C 2009 Quantum Infor. Comput. 9 0765
|
[43] |
Knill E and Laflamme R 1998 Phys. Rev. Lett. 81 5672
|
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