Quantum discord of two-qutrit system under quantum-jump-based feedback control

doi:10.1088/1674-1056/ab4e83

Abstract This paper studies quantum discord of two qutrits coupled to their own environments independently and coupled to the same environment simultaneously under quantum-jump-based feedback control. Our results show that spontaneous emission, quantum feedback parameters, classical driving, initial state, and detection efficiency all affect the evolution of quantum discord in a two-qutrit system. We find that under the condition of designing proper quantum-jump-based feedback parameters, quantum discord can be protected and prepared. In the case where two qutrits are independently coupled to their own environments, classical driving, spontaneous emission, and low detection efficiency have negative effect on the protection of quantum discord. For different initial states, it is found that the evolution of quantum discord under the control of appropriate parameters is similar. In the case where two qutrits are simultaneously coupled to the same environment, the classical driving plays a positive role in the generation of quantum discord, but spontaneous emission and low detection efficiency have negative impact on the generation of quantum discord. Most importantly, we find that the steady discord depends on feedback parameters, classical driving, and detection efficiency, but not on the initial state.

Keywords: qutrit quantum-jump-based feedback quantum discord

Received: 10 August 2019
Revised: 21 September 2019
Accepted manuscript online:

PACS:	03.67.-a	(Quantum information)
	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	42.50.Lc	(Quantum fluctuations, quantum noise, and quantum jumps)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11374096).

Corresponding Authors: Mao-Fa Fang
E-mail: mffang@hunnu.edu.cn

Cite this article:

Chang Wang(王畅), Mao-Fa Fang(方卯发) Quantum discord of two-qutrit system under quantum-jump-based feedback control 2019 Chin. Phys. B 28 120302

[33]	Chen L, Wang H F and Zhang S 2014 Chin. Phys. B 23 030301
[1]	Bennett C H, DiVincenzo D P, Smolin J A and Wootters W K 1996 Phys. Rev. A 54 3824
[34]	Sun H Y, Shu P L, Li C and Yi X X 2009 Phys. Rev. A 79 022119
[2]	Vidal G 2000 J. Mod. Opt. 47 355
[35]	Wang L C, Huang X L and Yi X X 2008 Phys. Rev. A 78 052112
[3]	Horodecki R, Horodecki P, Horodecki M and Horodecki K 2009 Rev. Mod. Phys. 81 865
[36]	Shao X Q, Zheng T Y and Zhang S 2012 Phys. Rev. A 85 042308
[4]	Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901
[37]	Sun W M, Su S L, Jin Z, Liang Y, Zhu A D, Wang H F and Zhang S 2015 J. Opt. Soc. Am. B 32 1873
[5]	Henderson L and Vedral V 2001 J. Phys. A: Math. Gen. 34 6899
[38]	Chen L, Wang H F and Zhang S 2013 J. Opt. Soc. Am. B 30 475
[6]	Vedral V 2003 Phys. Rev. Lett. 90 050401
[39]	Zheng Q, Ge L, Yao Y and Zhi Q J 2015 Phys. Rev. A 91 033805
[7]	Shi W N, Wang D, Sun W Y, Ming F, Huang A J and Ye L 2018 Laser Phys. Lett. 15 075202
[40]	Yu M, Fang M F and Zou H M 2018 Chin. Phys. B 27 010303
[8]	Chen M N, Sun W Y, Huang A J, Ming F, Wang D and Ye L 2018 Laser Phys. Lett. 15 015207
[41]	Ji Y Q, Qin M, Shao X Q and Yi X X 2017 Phys. Rev. A 96 043815
[9]	Ming F, Wang D and Liu Y 2019 Ann. Phys. 531 1900014
[42]	Shao X Q, Wu J H and Yi X X 2017 Phys. Rev. A 95 022317
[10]	Wang D, Shi W N, Hoehn R D, Ming F, Sun W Y, Kais S and Ye L 2018 Ann. Phys. 530 1800080
[43]	Huang Z M 2018 Int. J. Theor. Phys. 57 3473
[11]	Li H Z, Han R S, Zhang Y Q and Chen L 2015 Chin. Phys. Lett. 32 100303
[44]	Wiseman H M and Milburn G J 1993 Phys. Rev. A 47 642
[12]	Faizi E and Eftekhari H 2015 Chin. Phys. Lett. 32 100303
[45]	Metz J and Beige A 2007 Phys. Rev. A 76 022331
[13]	Zheng Y D, Mao Z and Zhou B 2018 Chin. Phys. B 27 090306
[46]	Dayan B, Parkins A S, Aoki T, Ostby E P, Vahala K J and Kimble H J 2008 Science 319 1062
[14]	Zad H A 2016 Chin. Phys. Lett. 33 090302
[47]	Pu H, Cai T, Bigelow N P, Grove T T and Gould P L 1995 Opt. Commun. 118 261
[15]	Guo K T, Xiang S H, Xu H Y and Li X H 2014 Quantum Inf. Process. 13 1511
[16]	Maleki Y 2016 Quantum Inf. Process. 15 4537
[17]	Lopez C E and Lastra F 2017 Phys. Rev. A 96 062112
[18]	Wu Q C and Ji X 2013 Quantum Inf. Process. 12 3167
[19]	Dakic B, Lipp Y O, Ma X S, Ringbauer M, Kropatschek S, Barz S, Paterek T, Vedral V, Zeilinger A, Brukner Č and Walther P 2012 Nat. Phys. 8 666
[20]	Caves C M and Milburn G J 2000 Opt. Commun. 179 439
[21]	Wiseman H M and Milburn G J 1993 Phys. Rev. Lett. 70 548
[22]	Wiseman H M 1994 Phys. Rev. A 49 2133
[23]	Viola L and Lloyd S 1998 Phys. Rev. A 58 2733
[24]	Katz G, Ratner M A and Kosloff R 2007 Phys. Rev. Lett. 98 203006
[25]	Ganesan N and Tarn T J 2007 Phys. Rev. A 75 032323
[26]	Zhang J, Li C, Wu R, Tarn T and Liu X 2005 J. Phys. A: Math. Gen. 38 6587
[27]	Yu M and Fang M F 2017 Int. J. Theor. Phys. 56 1937
[28]	Wang J, Wiseman H M and Milburn G J 2005 Phys. Rev. A 71 042309
[29]	Carvalho A R R and Hope J J 2007 Phys. Rev. A 76 010301(R)
[30]	Li J G, Zou J, Shao B and Cai J F 2008 Phys. Rev. A 77 012339
[31]	Carvalho A R R, Reid A J S and Hope J J 2008 Phys. Rev. A 78 012334
[32]	Chen Y, Zou J, Li J G and Shao B 2010 Acta Phys. Sin. 59 8365 (in Chinese)
[33]	Chen L, Wang H F and Zhang S 2014 Chin. Phys. B 23 030301
[34]	Sun H Y, Shu P L, Li C and Yi X X 2009 Phys. Rev. A 79 022119
[35]	Wang L C, Huang X L and Yi X X 2008 Phys. Rev. A 78 052112
[36]	Shao X Q, Zheng T Y and Zhang S 2012 Phys. Rev. A 85 042308
[37]	Sun W M, Su S L, Jin Z, Liang Y, Zhu A D, Wang H F and Zhang S 2015 J. Opt. Soc. Am. B 32 1873
[38]	Chen L, Wang H F and Zhang S 2013 J. Opt. Soc. Am. B 30 475
[39]	Zheng Q, Ge L, Yao Y and Zhi Q J 2015 Phys. Rev. A 91 033805
[40]	Yu M, Fang M F and Zou H M 2018 Chin. Phys. B 27 010303
[41]	Ji Y Q, Qin M, Shao X Q and Yi X X 2017 Phys. Rev. A 96 043815
[42]	Shao X Q, Wu J H and Yi X X 2017 Phys. Rev. A 95 022317
[43]	Huang Z M 2018 Int. J. Theor. Phys. 57 3473
[44]	Wiseman H M and Milburn G J 1993 Phys. Rev. A 47 642
[45]	Metz J and Beige A 2007 Phys. Rev. A 76 022331
[46]	Dayan B, Parkins A S, Aoki T, Ostby E P, Vahala K J and Kimble H J 2008 Science 319 1062
[47]	Pu H, Cai T, Bigelow N P, Grove T T and Gould P L 1995 Opt. Commun. 118 261

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