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Controlled unknown quantum operations on hybrid systems |
Yong He(何勇)1, Ming-Xing Luo(罗明星)2,3 |
1. Department of Mathematics and Physics, Chongqing University of Science and Technology, Chongqing 401331, China;
2. Information Security and National Computing Grid Laboratory, Southwest Jiaotong University, Chengdu 610031, China;
3. Department of Physics, University of Michigan, Ann Arbor, MI 48109, USA |
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Abstract Any unknown unitary operations conditioned on a control system can be deterministically performed if ancillary subspaces are available for the target systems[Zhou X Q, et al. 2011 Nat. Commun. 2 413]. In this paper, we show that previous optical schemes may be extended to general hybrid systems if unknown operations are provided by optical instruments. Moreover, a probabilistic scheme is proposed when the unknown operation may be performed on the subspaces of ancillary high-dimensional systems. Furthermore, the unknown operations conditioned on the multi-control system may be reduced to the case with a control system using additional linear circuit complexity. The new schemes may be more flexible for different systems or hybrid systems.
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Received: 13 June 2016
Revised: 24 July 2016
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.Pp
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(Quantum error correction and other methods for protection against decoherence)
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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 Natural Science Foundation of China (Grant Nos. 61303039 and 61201253), Chunying Fellowship, and Fundamental Research Funds for the Central Universities, China (Grant No. 2682014CX095). |
Corresponding Authors:
Yong He
E-mail: heyongmath@163.com
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Cite this article:
Yong He(何勇), Ming-Xing Luo(罗明星) Controlled unknown quantum operations on hybrid systems 2016 Chin. Phys. B 25 120304
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[1] |
Deutsch D 1989 Proc. R. Soc. Lond. A 425 73
|
[2] |
Deutsch D and Jozsa R 1992 Proc. R. Soc. London, Ser. A 439 553
|
[3] |
Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge:Cambridge University Press)
|
[4] |
Knill E, Laffamme R and Milburn G 2001 Nature 409 46
|
[5] |
Kitaev A, Shen A and Vyalyi M 2002 Classical and quantum computation (New York:American Mathematical Society)
|
[6] |
Shor P W 1995 Phys. Rev. A 52 2493
|
[7] |
Calderbank A R and Shor P W 1996 Phys. Rev. A 54 1098
|
[8] |
Sheng Y B, Zhou L and Cui C 2015 Chin. Phys. B 24 120306
|
[9] |
Cao X and Shang Y 2014 Chin. Phys. Lett. 31 110302
|
[10] |
Deng F G and Ren B C 2015 Acta Phys. Sin. 64 160303 (in Chinese)
|
[11] |
Feynman R P 1982 Int. J. Theor. Phys. 21 467
|
[12] |
Barenco A, Bennett C H, Cleve R, DiVincenzo D P, Margolus N, Shor P W, Sleator T, Smolin J A and Weinfurter H 1995 Phys. Rev. A 52 3457
|
[13] |
Vartiainen J J, Mottonen M and Salomaa M M 2004 Phys. Rev. Lett. 92 177902
|
[14] |
Zhou X Q, Ralph T C, Kalasuwan P, Zhang M, Peruzzo A, Lanyon B P and O'Brien J L 2011 Nat. Commun. 2 413
|
[15] |
Araúo M, Feix A, Costa F and Brukner Č 2014 New J. Phys. 16 093026
|
[16] |
Friis N, Dunjko V, Dur W and Briegel H J 2014 Phys. Rev. A 89 030303
|
[17] |
Chiribella G, D'Ariano G M, Perinotti P and Valiron B 2013 Phys. Rev. A 88 022318
|
[18] |
Procopio L M, Moqanaki A, Arau'jo M, Costa F, Calafell I A, Dowd E G, Hamel D R, Rozema L A, Brukner C and Walther P 2015 Nat. Commun. 6 7913
|
[19] |
Vitelli C, Spagnolo N, Aparo L, Sciarrino F, Santamato E and Marrucci L 2013 Nat. Photon. 7 521
|
[20] |
Passaro E, Vitelli C, Spagnolo N, Sciarrino F, Santamato E and Marrucci L 2013 Phys. Rev. A 88 062321
|
[21] |
Luo M X, Ma S Y, Chen X B and Wang X 2015 Phys. Rev. A 91 042326
|
[22] |
Briegel H J, Calarco T, Jaksch D, Cirac J I and Zoller P 2000 J. Mod. Opt. 47 415
|
[23] |
Duan L M and Kimble H J 2004 Phys. Rev. Lett. 92 127902
|
[24] |
Colombe Y, Steinmetz T, Dubois G, Linke F, Hunger D and Reichel J 2007 Nature 450 272
|
[25] |
Houck A A, Tureci H E and Koch J 2012 Nat. Phys. 8 292
|
[26] |
Pla J J, Tan K Y, Dehollain J P, Lim W H, Morton J J, Jamieson D N, Dzurak A S and Morello A 2012 Nature 489 541
|
[27] |
Barenco A, Bennett C H, Cleve R, et al. 1995 Phys. Rev. A 52 3457
|
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