Controlling of entropic uncertainty in open quantum system via proper placement of quantum register

doi:10.1088/1674-1056/27/10/100302

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100302-100302.doi: 10.1088/1674-1056/27/10/100302

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Controlling of entropic uncertainty in open quantum system via proper placement of quantum register

Ying-Hua Ji(嵇英华), Qiang Ke(柯强), Ju-Ju Hu(胡菊菊)

1 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
2 Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province, Nanchang 330022, China

收稿日期:2018-05-28 修回日期:2018-07-19 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Ju-Ju Hu E-mail:jyh2006@jxnu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264015 and 11404150).

Controlling of entropic uncertainty in open quantum system via proper placement of quantum register

Ying-Hua Ji(嵇英华)^1,2, Qiang Ke(柯强)^1,2, Ju-Ju Hu(胡菊菊)^1,2

1 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
2 Key Laboratory of Photoelectronics and Telecommunication of Jiangxi Province, Nanchang 330022, China

Received:2018-05-28 Revised:2018-07-19 Online:2018-10-05 Published:2018-10-05
Contact: Ju-Ju Hu E-mail:jyh2006@jxnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264015 and 11404150).

摘要/Abstract

摘要：

We investigate the dynamical behaviors of quantum-memory-assisted entropic uncertainty and its lower bound in the amplitude-damping channel. The influences of different placement positions of the quantum register on the dynamics of quantum coherence, quantum entanglement, and quantum discord are analyzed in detail. The numerical simulation results show that the quantum register should be placed in the channel of the non-Markovian effect. This option is beneficial to reduce the entropic uncertainty and its lower bound. We also find that this choice does not change the evolution of the quantum coherence and quantum entanglement, but changes the dynamical process of the quantum discord of the system. These results show that quantum coherence, quantum entanglement, and quantum discord are different quantum resources with unique characteristics and properties, and quantum discord can play a key role in reducing the uncertainty of quantum systems.

关键词: quantum-memory-assisted, entropic uncertainties, quantum register, open quantum system

Abstract:

Key words: quantum-memory-assisted, entropic uncertainties, quantum register, open quantum system

中图分类号: (Foundations of quantum mechanics; measurement theory)

03.65.Ta

05.40.Ca (Noise) 03.65.Yz (Decoherence; open systems; quantum statistical methods)

嵇英华, 柯强, 胡菊菊. Controlling of entropic uncertainty in open quantum system via proper placement of quantum register[J]. 中国物理B, 2018, 27(10): 100302-100302.

Ying-Hua Ji(嵇英华), Qiang Ke(柯强), Ju-Ju Hu(胡菊菊). Controlling of entropic uncertainty in open quantum system via proper placement of quantum register[J]. Chin. Phys. B, 2018, 27(10): 100302-100302.

[1]	Bromley T R, Cianciaruso M and Adesso G 2015 Phys. Rev. Lett. 114 210401 doi: 10.1103/PhysRevLett.114.210401
[2]	Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901 doi: 10.1103/PhysRevLett.88.017901
[3]	Asboth J K, Calsamiglia J and Ritsch H 2005 Phys. Rev. Lett. 94 173602 doi: 10.1103/PhysRevLett.94.173602
[4]	Datta A and Gharibian S 2009 Phys. Rev. A 79 042325 doi: 10.1103/PhysRevA.79.042325
[5]	Luo S 2008 Phys. Rev. A 77 042303 doi: 10.1103/PhysRevA.77.042303
[6]	Oppenheim J, Horodecki M, Horodecki P and Horodecki R 2002 Phys. Rev. Lett. 89 180402 doi: 10.1103/PhysRevLett.89.180402
[7]	Datta A, Shaji A and Caves C M 2008 Phys. Rev. Lett. 100 050502 doi: 10.1103/PhysRevLett.100.050502
[8]	Levi F and Mintert F 2014 New J. Phys. 16 033007 doi: 10.1088/1367-2630/16/3/033007
[9]	Marvian I and Spekkens R W 2013 New J. Phys. 15 033001 doi: 10.1088/1367-2630/15/3/033001
[10]	Ma J, Yadin B, Girolami D, Vedral V and Gu M 2016 Phys. Rev. Lett. 116 160407 doi: 10.1103/PhysRevLett.116.160407
[11]	Streltsov A, Singh U, Dhar H S, Bera M N and Adesso G 2015 Phys. Rev. Lett. 115 020403 doi: 10.1103/PhysRevLett.115.020403
[12]	Heisenberg W 1927 Z. Phys. 43 172 doi: 10.1007/BF01397280
[13]	Kennard E H 1927 Z. Phys. 44 326 doi: 10.1007/BF01391200
[14]	Robertson H P 1929 Phys. Rev. 34 163 doi: 10.1103/PhysRev.34.163
[15]	Bialynicki-Birula I 1984 Phys. Lett. A 103 253 doi: 10.1016/0375-9601(84)90118-X
[16]	Deutsch D 1983 Phys. Rev. Lett. 50 631 doi: 10.1103/PhysRevLett.50.631
[17]	Kraus K 1987 Phys. Rev. D 35 3070 doi: 10.1103/PhysRevD.35.3070
[18]	Maassen H and Uffink J B M 1988 Phys. Rev. Lett. 60 1103 doi: 10.1103/PhysRevLett.60.1103
[19]	Berta M, Christandl M, Colbeck R, Renes J M and Renner R 2010 Nat. Phys. 6 659 doi: 10.1038/nphys1734
[20]	Xiang Z L, Ashhab S, You J Q and Nori F 2013 Rev. Mod. Phys. 85 623 doi: 10.1103/RevModPhys.85.623
[21]	Li C F, Xu J S, Xu X Y, Li K and Guo G C 2011 Nat. Phys. 7 752 doi: 10.1038/nphys2047
[22]	Prevedel R, Hamel D R, Colbeck R, Fisher K and Resch K J 2011 Nat. Phys. 7 757 doi: 10.1038/nphys2048
[23]	Wang D, Huang A J, Ming F, Sun W Y, Lu H P, Liu C C and Ye L 2017 Laser Phys. Lett. 14 065203 doi: 10.1088/1612-202X/aa6f85
[24]	Wang D, Huang A J, Hoehn R D, Ming F, Sun W Y, Shi J D, Ye L and Kais S 2017 Sci. Rep. 7 1066 doi: 10.1038/s41598-017-01094-8
[25]	Wang D, Ming F, Huang A J, Sun W Y and Ye L 2017 Laser Phys. Lett. 14 095204 doi: 10.1088/1612-202X/aa7b4e
[26]	Zhang Y L, Fang M F, Kang G D and Zhou Q P 2015 Int. J. Quantum Inf. 13 1550037 doi: 10.1142/S0219749915500379
[27]	Ming F, Wang D, Shi W N, Huang A J, Sun W Y and Ye L 2018 Quantum Inf. Process. 17 89 doi: 10.1007/s11128-018-1857-2
[28]	Yu M and Fang M F 2017 Quantum Inf. Process. 16 213 doi: 10.1007/s11128-017-1666-z
[29]	Zou H M and Fang M F 2016 Chin. Phys. Lett. 33 070307 doi: 10.1088/0256-307X/33/7/070307
[30]	Hu M L and Fan H 2012 Phys. Rev. A 86 032338 doi: 10.1103/PhysRevA.86.032338
[31]	Pati A K, Wilde M M, Devi A R U, Rajagopal A K and Sudha X X 2012 Phys. Rev. A 86 042105 doi: 10.1103/PhysRevA.86.042105
[32]	Zhang J, Zhang Y and Yu C S 2015 Sci. Rep. 5 11701 doi: 10.1038/srep11701
[33]	Hu J J and Ke Q 2016 Optik 127 3950 doi: 10.1016/j.ijleo.2016.01.081
[34]	Zhang Y L, Fang M F, Kang G D and Zhou Q P 2018 Quantum Inf. Process. 17 62 doi: 10.1007/s11128-018-1822-0
[35]	Ji Y H, Hu J J and Ke Q 2018 Int. J. Control Autom. Syst. 16 55 doi: 10.1007/s12555-016-0069-8
[36]	Xu Z Y, Yang W L and Feng M 2012 Phys. Rev. A 86 012113 doi: 10.1103/PhysRevA.86.012113
[37]	Zou H M, Fang M F, Yang B Y, Guo Y N, He W and Zhang S Y 2014 Phys. Scr. 89 115101 doi: 10.1088/0031-8949/89/11/115101
[38]	Chen M N, Sun W Y, Huang A J, Ming F, Wang D and Ye L 2018 Laser Phys. Lett. 15 015207 doi: 10.1088/1612-202X/aa877d
[39]	Zhang S Y, Fang M F, Zhang Y L, Guo Y N, Tang W W and Zhao Y J 2015 Chin. Phys. B 24 090304 doi: 10.1088/1674-1056/24/9/090304
[40]	Konrad T, de Melo F, Tiersch M, Kasztelan C, Aragao A and Buchleitner A 2008 Nat. Phys. 4 99 doi: 10.1038/nphys885
[41]	Hu J J and Li S 2014 Commun. Theor. Phys. 62 183 doi: 10.1088/0253-6102/62/2/03
[42]	Li J G, Zou J and Shao B 2010 Phys. Rev. A 81 062124 doi: 10.1103/PhysRevA.81.062124
[43]	Bellomo B, Franco R L and Compagno G 2007 Phys. Rev. Lett. 99 160502 doi: 10.1103/PhysRevLett.99.160502
[44]	Wang D, Ming F, Huang A J, Sun W Y, Shi J D and Ye L 2017 Laser Phys. Lett. 14 055205 doi: 10.1088/1612-202X/aa66fc
[45]	Wootters W K 1998 Phys. Rev. Lett. 80 2245 doi: 10.1103/PhysRevLett.80.2245
[46]	Baumgratz T, Cramer M and Plenio M B 2014 Phys. Rev. Lett. 113 140401 doi: 10.1103/PhysRevLett.113.140401
[47]	Hu J J, Liu S Q and Ji Y H 2018 Int. J. Quantum Inf. 16 1850022 doi: 10.1142/S0219749918500223
[48]	Sarandy M S 2009 Phys. Rev. A 80 022108 doi: 10.1103/PhysRevA.80.022108
[49]	Wang C Z, Li C X, Nie L Y and Li J F 2011 J. Phys. B:At. Mol. Opt. Phys. 44 015503 doi: 10.1088/0953-4075/44/1/015503

[1]	Jun Feng(冯俊), Jing-Jun Zhang(张精俊), and Qianyi Zhang(张倩怡). Geometric phase under the Unruh effect with intermediate statistics[J]. 中国物理B, 2022, 31(5): 50312-050312.
[2]	Jintao Yang(杨锦涛), Junpeng Cao(曹俊鹏), and Wen-Li Yang(杨文力). Dynamical learning of non-Markovian quantum dynamics[J]. 中国物理B, 2022, 31(1): 10314-010314.
[3]	M Bagheri Harouni. Influences of spin-orbit interaction on quantum speed limit and entanglement of spin qubits in coupled quantum dots[J]. 中国物理B, 2021, 30(9): 90301-090301.
[4]	Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊). Fine-grained uncertainty relation for open quantum system[J]. 中国物理B, 2021, 30(6): 60315-060315.
[5]	Hong Wang(王虹), Yue Qin(秦悦), Jingxu Ma(马晶旭), Heng Shen(申恒), Ying Hu(胡颖), and Xiaojun Jia(贾晓军). Application of non-Hermitian Hamiltonian model in open quantum optical systems[J]. 中国物理B, 2021, 30(5): 50301-050301.
[6]	胡菊菊, 薛琴. Influence of homodyne-based feedback control on the entropic uncertainty in open quantum system[J]. 中国物理B, 2019, 28(7): 70303-070303.
[7]	王晓岚, 任玉坤, 曾浩生. Dynamical control of population and entanglement for open Λ-type atoms by engineering the environment[J]. 中国物理B, 2019, 28(3): 30301-030301.
[8]	钟宏华, 谢琼涛, 徐军, 海文华, 李朝红. Nonlinear dissipative dynamics of a two-component atomic condensate coupling with a continuum[J]. 中国物理B, 2014, 23(2): 20314-020314.
[9]	唐宁, 徐甜甜, 曾浩生. Comparison between non-Markovian dynamics with and without rotating wave approximation[J]. 中国物理B, 2013, 22(3): 30304-030304.
[10]	郑艳萍, 唐宁, 王国友, 曾浩生. Distribution of non-Markovian intervals for open qubit systems[J]. 中国物理B, 2011, 20(11): 110301-110301.

Controlling of entropic uncertainty in open quantum system via proper placement of quantum register

Controlling of entropic uncertainty in open quantum system via proper placement of quantum register

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 49

相关文章 10

Metrics

本文评价

推荐阅读 0