Fine-grained uncertainty relation for open quantum system

doi:10.1088/1674-1056/abf3b5

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60315-060315.doi: 10.1088/1674-1056/abf3b5

所属专题： SPECIAL TOPIC — Quantum computation and quantum simulation

Fine-grained uncertainty relation for open quantum system

Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊)^†

School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2021-01-25 修回日期:2021-03-23 接受日期:2021-03-31 出版日期:2021-05-18 发布日期:2021-05-27
通讯作者: Jun Feng E-mail:j.feng@xjtu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12075178) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JM1049).

Fine-grained uncertainty relation for open quantum system

Shang-Bin Han(韩尚斌), Shuai-Jie Li(李帅杰), Jing-Jun Zhang(张精俊), and Jun Feng(冯俊)^†

School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2021-01-25 Revised:2021-03-23 Accepted:2021-03-31 Online:2021-05-18 Published:2021-05-27
Contact: Jun Feng E-mail:j.feng@xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12075178) and the Natural Science Basic Research Plan in Shaanxi Province of China (Grant No. 2018JM1049).

摘要/Abstract

摘要： The fine-grained uncertainty relation (FUR) is investigated for accelerating open quantum system, which manifests the celebrated Unruh effect, a crucial piece of the jigsaw for combining relativity and quantum physics. For a single detector, we show that the inevitable Unruh decoherence can induce a smaller FUR uncertainty bound, which indicates an additional measurement uncertainty may exist. For an open system combined with two detectors, via a nonlocal retrieval game, the related FUR uncertainty bound is determined by the non-classical correlation of the system. By estimating the maximal violation of Bell inequality for an accelerating system, we show that the FUR uncertainty bound can be protected from Unruh decoherence, due to quantum correlation generated through Markovian dynamics.

关键词: open quantum system, fine-grained uncertainty relation, Unruh effect

Abstract: The fine-grained uncertainty relation (FUR) is investigated for accelerating open quantum system, which manifests the celebrated Unruh effect, a crucial piece of the jigsaw for combining relativity and quantum physics. For a single detector, we show that the inevitable Unruh decoherence can induce a smaller FUR uncertainty bound, which indicates an additional measurement uncertainty may exist. For an open system combined with two detectors, via a nonlocal retrieval game, the related FUR uncertainty bound is determined by the non-classical correlation of the system. By estimating the maximal violation of Bell inequality for an accelerating system, we show that the FUR uncertainty bound can be protected from Unruh decoherence, due to quantum correlation generated through Markovian dynamics.

Key words: open quantum system, fine-grained uncertainty relation, Unruh effect

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

03.65.Ta

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 04.62.+v (Quantum fields in curved spacetime)

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.

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]. Chin. Phys. B, 2021, 30(6): 60315-060315.

参考文献

[1] Heisenberg W 1927 Phys. 43 172
[2] Deutsch D 1983 Phys. Rev. Lett. 50 631
[3] Maassen H and Uffink J B M 1988 Phys. Rev. Lett. 60 1103
[4] Coles P J, Berta M, Tomamichel M and Wehner S 2017 Rev. Mod. Phys. 89 015002
[5] Berta M, Christandl M, Colbeck R, Renes J M and Renner R 2010 Nat. Phys. 6 659
[6] Li C F, Xu J S, Xu X Y, Li K and Guo G C 2011 Nat. Phys. 7 752
[7] Prevedel R, Hamel D R, Colbeck R, Fisher K and Resch K J 2011 Nat. Phys. 7 757
[8] Ming F, Wang D, Fan X, Shi W, Ye L and Chen J 2020 Phys. Rev. A 102 012206
[9] Wang D, Ming F, Song X, Ye L and Chen J 2020 Eur. Phys. J. C 80 800
[10] Hall M J W and Wiseman H M 2012 New J. Phys. 14 033040
[11] Tomamichel M and Renner R 2011 Phys. Rev. Lett. 106 110506
[12] Liu S, Mu L Z and Fan H 2015 Phys. Rev. A 91 042133
[13] Wang D, Ming F, Hu M and Ye L 2019 Ann. Phys. 531 1900124
[14] Oppenheim J and Wehner S 2010 Science 330 1072
[15] Lv W M, Zhang C, Hu X M, Huang Y F, Cao H, Wang J, Hou Z B, Liu B H, Li C F and Guo G C 2019 Sci. Rep. 9 8748
[16] Pramanik T and Majumdar A S 2012 Phys. Rev. A 85 024103
[17] Dey A, Pramanik T and Majumdar A S 2013 Phys. Rev. A 87 012120
[18] Pramanik T, Kaplan M and Majumdar A S 2014 Phys. Rev. A 90 050305
[19] Orieux A, Kaplan M, Venuti V, Pramanik T, Zaquine I and Diamanti E 2018 J. Opt. 20 044006
[20] Pramanik T, Chowdhury P and Majumdar A S 2013 Phys. Rev. Lett. 110 020402
[21] Hanggi E and Wehner S 2013 Nat. Commun. 4 1670
[22] Ren L H and Fan H 2014 Phys. Rev. A 90 052110
[23] Benatti F and Floreanini R 2004 Phys. Rev. A 70 012112
[24] Martín-Martínez E, Aasen D and Kempf A 2013 Phys. Rev. Lett. 110 160501
[25] Takagi S 1986 Prog. Theor. Phys. Suppl. 88 1
[26] Unruh W G 1976 Phys. Rev. D 14 870
[27] Crispino L, Higuchi A and Matsas G E A 2008 Rev. Mod. Phys. 80 787
[28] Aspachs M, Adesso G and Fuentes I 2010 Phys. Rev. Lett. 105 151301
[29] Wang J, Tian Z, Jing J and Fan H 2014 Sci. Rep. 4 7195
[30] Martín-Martínez, Fuentes I and Mann R B 2011 Phys. Rev. Lett. 107 131301
[31] Benatti F, Floreanini R and Marzolino U 2010 Phys. Rev. A 81 012105
[32] Pozas-Kerstjens A and Martín-Martínez E 2015 Phys. Rev. D 92 064042
[33] Nesterov A I, Rodríguez Fernández M A, Berman G P and Wang X 2020 Phys. Rev. Research 2 043230
[34] Feng J, Zhang Y Z, Gould M D and Fan H 2013 Phys. Lett. B 726 527
[35] Feng J, Zhang Y Z, Gould M D and Fan H 2018 Europhys. Lett. 122 60001
[36] Hu J, Feng L, Zhang Z and Chin C 2019 Nat. Phys. 15 785
[37] Jin F, Chen H, Rong X, et al. 2016 Sci. China- Phys. Mech. Astron. 59 630302
[38] Friis N, Lee A R, Truong K, Sabín C, Solano E, Johansson G and Fuentes I 2013 Phys. Rev. Lett. 110 113602
[39] Richter B, Ter?as H, Omar Y and de Vega I 2017 Phys. Rev. A 96 053612
[40] Hu J and Yu H 2013 Phys. Rev. D 88 104003
[41] Gorini V, Kossakowski A and Surdarshan E C G 1976 J. Math. Phys. 17 821
[42] Lindblad G 1976 Commun. Math. Phys. 48 119
[43] Benatti F, Floreanini R and Piani M 2003 Phys. Rev. Lett. 91 070402
[44] Feng J, Zhang Y Z, Gould M D and Fan H 2015 Phys. Lett. B 743 198
[45] Feng J, Huang X, Zhang Y Z and Fan H 2018 Phys. Lett. B 786 403
[46] Clauser J F, Horne M A, Shimony A and Holt R A 1969 Phys. Rev. Lett. 23 880
[47] Horodecki R, Horodecki P and Horodecki M 1995 Phys. Lett. A 200 340

Fine-grained uncertainty relation for open quantum system

Fine-grained uncertainty relation for open quantum system

RichHTML

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 13

Metrics

本文评价

推荐阅读 0

[1]	Xiao-Long Gong(龚小龙), Shuo Cao(曹硕), Yue Fang(方越), and Tong-Hua Liu(刘统华). Relativistic motion on Gaussian quantum steering for two-mode localized Gaussian states[J]. 中国物理B, 2022, 31(5): 50402-050402.
[2]	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.
[3]	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.
[4]	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.
[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]	张思轩, 刘统华, 曹硕, 刘宇婷, 耿率博, 连禹杰. Quantum fluctuation of entanglement for accelerated two-level detectors[J]. 中国物理B, 2020, 29(5): 50402-050402.
[7]	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.
[8]	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.
[9]	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.
[10]	吴奇成, 文晶姬, 计新, Yeon Kyu-Hwang. Teleportation of three-dimensional single particle state in noninertial frames[J]. 中国物理B, 2014, 23(2): 20303-020303.
[11]	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.
[12]	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.
[13]	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.