Comparative investigation of freezing phenomena for quantum coherence and correlations

doi:10.1088/1674-1056/27/4/040302

中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40302-040302.doi: 10.1088/1674-1056/27/4/040302

Comparative investigation of freezing phenomena for quantum coherence and correlations

Lian-Wu Yang(杨连武), Wei Han(韩伟), Yun-Jie Xia(夏云杰)

1. Shandong Provincial Key Laboratory of Computation Theory Physics, Department of Physics and Information Engineering, Jining University, Qufu 273155, China;
2. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

收稿日期:2017-11-15 修回日期:2018-01-15 出版日期:2018-04-05 发布日期:2018-04-05
通讯作者: Lian-Wu Yang E-mail:wlyanglw@163.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11304179).

Comparative investigation of freezing phenomena for quantum coherence and correlations

Lian-Wu Yang(杨连武)¹, Wei Han(韩伟)², Yun-Jie Xia(夏云杰)²

1. Shandong Provincial Key Laboratory of Computation Theory Physics, Department of Physics and Information Engineering, Jining University, Qufu 273155, China;
2. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China

Received:2017-11-15 Revised:2018-01-15 Online:2018-04-05 Published:2018-04-05
Contact: Lian-Wu Yang E-mail:wlyanglw@163.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 61675115 and 11304179).

摘要/Abstract

摘要： We show that the freezing phenomenon, exhibited by a specific class of two-qubit state under local nondissipative decoherent evolutions, is a common feature of the relative entropy measure of quantum coherence and correlation. All those measurement outcomes, preserve a constant value in the considered noisy channels, but the condition, property and mechanism of the freezing phenomenon for quantum coherence are different from those of the quantum correlation.

关键词: freezing phenomenon, quantum coherence, quantum discord

Abstract: We show that the freezing phenomenon, exhibited by a specific class of two-qubit state under local nondissipative decoherent evolutions, is a common feature of the relative entropy measure of quantum coherence and correlation. All those measurement outcomes, preserve a constant value in the considered noisy channels, but the condition, property and mechanism of the freezing phenomenon for quantum coherence are different from those of the quantum correlation.

Key words: freezing phenomenon, quantum coherence, quantum discord

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

03.65.Ta

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

杨连武, 韩伟, 夏云杰. Comparative investigation of freezing phenomena for quantum coherence and correlations[J]. 中国物理B, 2018, 27(4): 40302-040302.

Lian-Wu Yang(杨连武), Wei Han(韩伟), Yun-Jie Xia(夏云杰). Comparative investigation of freezing phenomena for quantum coherence and correlations[J]. Chin. Phys. B, 2018, 27(4): 40302-040302.

参考文献 48

[1]	Nielsen M and Chuang I 2000 Quantum Computation and Quantum Information (Cambridge:Cambridge University Press)
[2]	Giovannetti V, Lloyd S and Maccone L 2004 Science 306 1330
[3]	Dobrzański R D and Maccone L 2014 Phys. Rev. Lett. 113 250801
[4]	Giovannetti V, Lloyd S and Maccone L 2011 Nat. Photon. 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]	Ro å nagel 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]	Aberg 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 G 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]	Ollivier H and Zurek W H 2001 Phys. Rev. Lett. 88 017901
[21]	Luo S L 2008 Phys. Rev. A 77 022301
[22]	Rulli C C and Sarandy M S 2011 Phys. Rev. A 84 042109
[23]	Modi K, Paterek T, Son W, Vedral V and Williamson M 2010 Phys. Rev. Lett. 104 080501
[24]	Modi K, Brodutch A, Cable H, Paterek T and Vedral V 2012 Rev. Mod. Phys. 84 1655
[25]	Ekert A K 1991 Phys. Rev. Lett. 67 661
[26]	Bennett C H, Brassard G, Crepeau C, Jozsa R, Peres A and Wootters W K 1993 Phys. Rev. Lett. 70 1895
[27]	Jozsa R and Linden N 2003 Proc. R. Soc. Lon. A 459 2011
[28]	Lanyon B P, Barbieri M, Almeida M P andWhite A G 2008 Phys. Rev. Lett. 101 200501
[29]	Aaronson B, Franco R and Adesso G 2013 Phys. Rev. A 88 012120
[30]	Mazzola L, Piilo J and Maniscalco S 2010 Phys. Rev. Lett. 104 200401
[31]	You B and Cen L X 2012 Phys. Rev. A 86 012102
[32]	Cianciaruso M, Bromley T R, Roga W, Franco L R and Adesso G 2015 Sci. Rep. 5 10177
[33]	Hu M L and Fan H 2012 Ann. Phys. 327 851
[34]	Mazzola L, Piilo J and Maniscalco S 2011 Int. J. Quantum Inf. 09 981
[35]	Franco L R, Bellomo B, Andersson E and Compagno G 2012 Phys. Rev. A 85 032318
[36]	Mannone M, Franco L R and Compagno G 2013 Phys. Scr. 153 014047
[37]	Haikka P, Johnson T H and Maniscalco S 2013 Phys. Rev. A 87 010103
[38]	Bromley T R, Cianciaruso M and Adesso G 2015 Phys. Rev. Lett. 114 210401
[39]	Yu X D, Zhang D J, Liu C and Tong D 2016 Phys. Rev. A 93 060303
[40]	Ma J, Yadin B, Girolami D, Vedral V and Gu M 2016 Phys. Rev. Lett. 116 160407
[41]	Hu M L and Fan H 2016 Sci. Rep. 6 29260
[42]	Yang L W and Xia Y J 2016 Chin. Phys. B 25 110303
[43]	Xi Z, Li Y and Fan H 2015 Sci. Rep. 5 10922
[44]	Yao Y, Xiao X, Ge L and Sun C P 2015 Phys. Rev. A 92 022112
[45]	Chuan T K, Kwon H, Park C Y and Jeong H 2016 Phys. Rev. A 94 022329
[46]	Gao D Y, Gao Q and Xia Y J 2017 Chin. Phys. B 26 110303
[47]	Werner R F 1989 Phys. Rev. A 40 4277
[48]	Hu M L and Fan H 2017 Phys. Rev. A 95 052106

Comparative investigation of freezing phenomena for quantum coherence and correlations

Comparative investigation of freezing phenomena for quantum coherence and correlations

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 48

相关文章 15

Metrics

本文评价

推荐阅读 0

[1]	Si-Ren Yang(杨思忍) and Chang-Shui Yu(于长水). Quantum dynamical resource theory under resource non-increasing framework[J]. 中国物理B, 2023, 32(4): 40305-040305.
[2]	Wen-Li Yu(于文莉), Yun Zhang(张允), Hai Li(李海), Guang-Fen Wei(魏广芬), Li-Ping Han(韩丽萍), Feng Tian(田峰), and Jian Zou(邹建). Enhancement of charging performance of quantum battery via quantum coherence of bath[J]. 中国物理B, 2023, 32(1): 10302-010302.
[3]	Xue-Yun Bai(白雪云) and Su-Ying Zhang(张素英). Protecting geometric quantum discord via partially collapsing measurements of two qubits in multiple bosonic reservoirs[J]. 中国物理B, 2022, 31(4): 40308-040308.
[4]	Xue-Yan Cui(崔雪燕), Yi-Jing Yan(严以京), and Jian-Hua Wei(魏建华). Theoretical study on the exciton dynamics of coherent excitation energy transfer in the phycoerythrin 545 light-harvesting complex[J]. 中国物理B, 2022, 31(1): 18201-018201.
[5]	Bao-Min Li(李保民), Ming-Liang Hu(胡明亮), and Heng Fan(范桁). Nonlocal advantage of quantum coherence and entanglement of two spins under intrinsic decoherence[J]. 中国物理B, 2021, 30(7): 70307-070307.
[6]	Yu-Hang Sun(孙宇航) and Yu-Xia Xie(谢玉霞). Steered coherence and entanglement in the Heisenberg XX chain under twisted boundary conditions[J]. 中国物理B, 2021, 30(7): 70303-070303.
[7]	Lian-Wu Yang(杨连武) and Yun-Jie Xia(夏云杰). Quantifying coherence with dynamical discord[J]. 中国物理B, 2021, 30(12): 120304-120304.
[8]	杨豪, 秦立国, 田立君, 马鸿洋. Quantum coherence and correlation dynamics of two-qubit system in spin bath environment[J]. 中国物理B, 2020, 29(4): 40303-040303.
[9]	胥建卫. Coherence measures based on sandwiched Rényi relative entropy[J]. 中国物理B, 2020, 29(1): 10301-010301.
[10]	刘堂昆, 刘飞, 单传家, 刘继兵. Geometrical quantum discord and negativity of two separable and mixed qubits[J]. 中国物理B, 2019, 28(9): 90304-090304.
[11]	王畅, 方卯发. Quantum discord of two-qutrit system under quantum-jump-based feedback control[J]. 中国物理B, 2019, 28(12): 120302-120302.
[12]	张福刚, 李永明. Quantum uncertainty relations of quantum coherence and dynamics under amplitude damping channel[J]. 中国物理B, 2018, 27(9): 90301-090301.
[13]	杨阳, 王安民, 曹连振, 赵加强, 逯怀新. Decoherence for a two-qubit system in a spin-chain environment[J]. 中国物理B, 2018, 27(9): 90302-090302.
[14]	郑一丹, 毛竹, 周斌. Thermal quantum correlations of a spin-1/2 Ising-Heisenberg diamond chain with Dzyaloshinskii-Moriya interaction[J]. 中国物理B, 2018, 27(9): 90306-090306.
[15]	陈亮, 张业奇, 韩榕生. Robustness of coherence between two quantum dots mediated by Majorana fermions[J]. 中国物理B, 2018, 27(7): 77102-077102.