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Quantum process discrimination with information from environment |
Yuan-Mei Wang(王元美)1, Jun-Gang Li(李军刚)1, Jian Zou(邹健)1, Bao-Ming Xu(徐宝明)2 |
1. School of Physics, Beijing Institute of Technology, Beijing 100081, China;
2. School of Physics, Qufu Normal University, Qufu 273165, China |
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Abstract In quantum metrology we usually extract information from the reduced probe system but ignore the information lost inevitably into the environment. However, K. Mølmer[Phys. Rev. Lett. 114, 040401 (2015)] showed that the information lost into the environment has an important effect on improving the successful probability of quantum process discrimination. Here we reconsider the model of a driven atom coupled to an environment and distinguish which of two candidate Hamiltonians governs the dynamics of the whole system. We mainly discuss two measurement methods, one of which obtains only the information from the reduced atom state and the other obtains the information from both the atom and its environment. Interestingly, for the two methods the optimal initial states of the atom, used to improve the successful probability of the process discrimination, are different. By comparing the two methods we find that the partial information from the environment is very useful for the discriminations.
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Received: 14 May 2016
Revised: 21 July 2016
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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02.50.Tt
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(Inference methods)
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03.67.-a
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(Quantum information)
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42.50.Dv
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(Quantum state engineering and measurements)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274043, 11375025, and 11005008). |
Corresponding Authors:
Jun-Gang Li
E-mail: jungl@bit.edu.cn
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Cite this article:
Yuan-Mei Wang(王元美), Jun-Gang Li(李军刚), Jian Zou(邹健), Bao-Ming Xu(徐宝明) Quantum process discrimination with information from environment 2016 Chin. Phys. B 25 120302
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[1] |
Helstrom C W 1976 Quantum Detection and Estimation Theory, Mathematics in Science and Engineering, Vol. 123 (New York:Academic Press) pp. 40-42
|
[2] |
Fox A M 2006 Quantum Optics:An introduction (Oxford:Oxford University Press) p. 35
|
[3] |
Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge:Cambridge University Press) p. 55
|
[4] |
Susskind L and Friedman A 2015 Quantum Mechanics:The Theoretical Minimum (Penguin Books, UK) p. 72
|
[5] |
Barnett S M 2009 Quantum Information (New York:Oxford University Press) p. 32
|
[6] |
Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (New York:Cambridge University Press) p. 409
|
[7] |
Scarani V, Iblisdir S, Gisin N and Acín A 2005 Rev. Mod. Phys. 77 1225
|
[8] |
Chefles A and Barnett S M 1998 J. Phys. A:Math. Gen. 31 10097
|
[9] |
Sekatski P, Skotiniotis M and Dür W 2015 Phys. Rev. A 92 022355
|
[10] |
Barnett S M and Croke S 2009 Adv. Opt. Photon. 1 238
|
[11] |
Bae J and Kwek L C 2015 J. Phys. A:Math. Theor. 48 083001
|
[12] |
Ivanovic I D 1987 Phys. Lett. A 123 257
|
[13] |
Peres A 1988 Phys. Lett. A 128 19
|
[14] |
Chen L Y, Wang H F, Zhang S and Yeon K H 2013 Chin. Phys. B 22 050306
|
[15] |
Chen L B, Jin R B and Lu H 2008 Chin. Phys. B 17 778
|
[16] |
Acín A 2001 Phys. Rev. Lett. 87 177901
|
[17] |
D'Ariano G M, Lo Presti P and Paris M G A 2001 Phys. Rev. Lett. 87 270404
|
[18] |
Sacchi M F 2005 Phys. Rev. A 71 062340
|
[19] |
Zhou X F, Zhang Y S and Guo G C 2007 Phys. Rev. Lett. 99 170401
|
[20] |
Chiribella G, D'Ariano G M and Perinotti P 2008 Phys. Rev. Lett. 101 180501
|
[21] |
Duan R Y, Feng Y and Ying M S 2009 Phys. Rev. Lett. 103 210501
|
[22] |
Laing A, Rudolph T and O'Brien J L 2009 Phys. Rev. Lett. 102 160502
|
[23] |
Orieux A, Sansoni L, Persechino M, Mataloni P, Rossi M and Macchiavello C 2013 Phys. Rev. Lett. 111 220501
|
[24] |
Molmer K 2015 Phys. Rev. Lett. 114 040401
|
[25] |
Breuer H P and Petruccione F 2002 The Theory of Open Quantum System (New York:Oxford University Press)
|
[26] |
Wiseman H M and Milburn G J 2010 Quantum Measurement and Control (Cambridge:Cambridge University Press)
|
[27] |
Carmichael H 1993 An Open System Approach to Quantum Optics, Lecture Notes in Physics (Berlin/Heidelberg:Springer-Verlag)
|
[28] |
Plenio M B and Huelga S F 2016 Phys. Rev. A 93 032123
|
[29] |
Catalin Catana and Gutţă M 2014 Phys. Rev. A 90 012330
|
[30] |
Preskill J 1998 Lecture Notes for Physics 229:Quantum Information and Computation (California Institute of Technology)
|
[31] |
Gutţă M 2011 Phys. Rev. A 83 062324
|
[32] |
Gammelmark S and Molmer K 2014 Phys. Rev. Lett. 112 170401
|
[33] |
Catana C, Bouten L and Guţă M 2015 J. Phys. A:Math. Theor. 48 365301
|
[34] |
Fuchs C A 1996 "Distinguishability and Accessible Information in quantum Theory", Ph. D Thesis (The University of New Mexico, Aibuquweque, NM, 1996), arXiv:9601020
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