Amplifying and freezing of quantum coherence using weak measurement and quantum measurement reversal

doi:10.1088/1674-1056/25/11/110303

Abstract We analyze universal conditions where the l₁ norm and relative entropy of coherence are amplified and frozen under identical bit-flip channels; that is, using pre-measurements (quantum weak measurements or quantum measurement reversals) on the systems before undergoing local bit-flip channels. With the option of quantum weak measurements or quantum measurement reversals, the measurement strength and the success probability are all determined by the initial state of the quantum system.

Keywords: frozen coherence weak measurement quantum measurement reversal

Received: 26 April 2016
Revised: 21 July 2016
Accepted manuscript online:

PACS:	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.67.Pp	(Quantum error correction and other methods for protection against decoherence)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11204156, 61178012, 11304179, and 11247240) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20133705110001).

Corresponding Authors: Yun-Jie Xia
E-mail: yjxia@mail.qfnu.edu.cn

Cite this article:

Lian-Wu Yang(杨连武), Yun-Jie Xia(夏云杰) Amplifying and freezing of quantum coherence using weak measurement and quantum measurement reversal 2016 Chin. Phys. B 25 110303

[1]	Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge:Cambridge University Press)
[2]	Giovannetti V, Lloyd S and Maccone L 2004 Science 306 1330
[3]	Demkowicz-Dobrzański R and Maccone L 2014 Phys. Rev. Lett. 113 250801
[4]	Giovannetti V, Lloyd S and Maccone L 2011 Nat. Photonics 5 222
[5]	Xiang G Y and Guo G C 2013 Chin. Phys. B 22 110601
[6]	Asbóth J K, Calsamiglia J and Ritsch H 2005 Phys. Rev. Lett. 94 173602
[7]	Streltsov A, Singh U, Dhar H S, Bera M N and Adesso G 2015 Phys. Rev. Lett. 115 020403
[8]	Ford L H 1978 Proc. R. Soc. A 364 227
[9]	Correa L A, Palao J P, Alonso D and Adesso G 2014 Sci. Rep. 4 3949
[10]	Roßnagel J, Abah O, Schmidt-Kaler F, Singer K and Lutz E 2014 Phys. Rev. Lett. 112 030602
[11]	Lostaglio M, Jennings D and Rudolph T 2015 Nat. Commun. 6 6383
[12]	Åberg J 2014 Phys. Rev. Lett. 113 150402
[13]	Plenio M B and Huelga S F 2008 New J. Phys. 10 113019
[14]	Rebentrost P, Mohseni M and Aspuru-Guzik A 2009 J. Phys. Chem. B 113 9942
[15]	Li C M, Lambert N, Chen Y N, Chen G Y and Nori F 2012 Sci. Rep. 2 885
[16]	Huelga S F and Plenio M B 2013 Contemp. Phys. 54 181
[17]	Baumgratz T, Cramer M and Plenio M B 2014 Phys. Rev. Lett. 113 140401
[18]	Levi F and Mintert F 2014 New J. Phys. 16 033007
[19]	Marvian I and Spekkens R W 2013 New J. Phys. 15 033001
[20]	Girolami D 2014 Phys. Rev. Lett. 113 170401
[21]	Marvian I and Spekkens R W 2014 Nat. Commun. 5 3821
[22]	Streltsov A, Singh U, Dhar H S, Bera M N and Adesso G 2015 Phys. Rev. Lett. 115 020403
[23]	Bromley T R, Cianciaruso M and Adesso G 2015 Phys. Rev. Lett. 114 210401
[24]	Alexander N K and Kyle K 2010 Phys. Rev. A 81 040103(R)
[25]	Kim Y S, Lee J C, Kwon O and Kim Y H 2012 Nat. Phys. 8 117
[26]	Yang G, Lian B W and Nie M 2016 Chin. Phys. B 25 080310
[27]	Horodecki R and Horodecki M 1996 Phys. Rev. A 54 1838
[28]	Yu X D, Zhang D J, Liu C L and Tong D M 2016 arXiv:1603.01124v1.[quant-ph]
[29]	Wootters W K 1998 Phys. Rev. Lett. 80 2245
[30]	Katz N, Neeley M, Ansmann M, Bialczak R C, Hofheinz M, Lucero E, Connell A, Wang H, Cleland A N, Martinis J M and Korotkov A N 2008 Phys. Rev. Lett. 101 200401
[31]	Xu X Y, Kedem Y, Sun K, Vaidman L, Li C F and Guo G C 2013 Phys. Rev. Lett. 111 033604
[32]	Man Z X, Xia Y J and An N B 2012 Phys. Rev. A 86 012325
[33]	Han W, Zhang Y J, Yan W B and Xia Y J 2014 Chin. Phys. B 23 110304

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Amplifying and freezing of quantum coherence using weak measurement and quantum measurement reversal

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