基于非广延熵纠缠平方的严格单配性不等式

doi:10.19596/j.cnki.1001-246x.8150

计算物理 ›› 2020, Vol. 37 ›› Issue (6): 745-749.DOI: 10.19596/j.cnki.1001-246x.8150

基于非广延熵纠缠平方的严格单配性不等式

苑光明¹, 王学文¹, 董明慧¹, 白志明², 刘恩超¹

1. 齐鲁理工学院基础部, 山东济南 250200;
2. 河北科技大学理学院, 河北石家庄 050018

收稿日期:2019-09-20 修回日期:2019-11-12 出版日期:2020-11-25 发布日期:2020-11-25
通讯作者: LIU Enchao,E-mail:1634031607@qq.com
作者简介:YUAN Guangming (1990-), male, postgraduate, research in quantum optics,E-mail:yuan949147646@163.com
基金资助:
Foundation of Qilu Institute of Technology(JG201858)

Tighter Monogamy Inequality for Squared Tsallis-q Entanglement

YUAN Guangming¹, WANG Xuewen¹, DONG Minghui¹, BAI Zhiming², LIU Enchao¹

1. Department of Basic Courses, Qilu Institute of Technology, Jinan, Shandong 250200, China;
2. School of Science, Hebei University of Science and Technology, Shijiazhuang, Hebei 050018, China

Received:2019-09-20 Revised:2019-11-12 Online:2020-11-25 Published:2020-11-25
Supported by:
Foundation of Qilu Institute of Technology(JG201858)

摘要/Abstract

摘要： 非广延熵纠缠是一种很好的纠缠度量方式，其本身在参数q∈［2，3］范围服从严格单配性关系.我们提出基于非广延熵纠缠平方服从的严格单配性关系，将参数范围扩展至q∈[（5-√13]）/2，（5+√13）/2].该单配性关系更加严格，比非广延熵纠缠的严格单配性不等式成立范围更广.

关键词: 量子光学, 纠缠, 单配性, 非广延熵纠缠

Abstract: Tsallis-q entanglement is a well-known entanglement measures which obeys a tighter monogamy inequality with q∈[2,3]. We extend the range of q for analytic formula of Tsallis-q entanglement to q∈[(5-√13)/2,(5+√13)/2], and prove that it is a tighter monogamy inequality of quantum entanglement in terms of squared Tsallis-q entanglement. It is tighter than existing ones,and the range of q become broader than tighter monogamy inequality using Tsallis-q entanglement.

Key words: quantum optics, entanglement, monogamy, Tsallis-q entanglement

中图分类号:

O431.2

苑光明, 王学文, 董明慧, 白志明, 刘恩超. 基于非广延熵纠缠平方的严格单配性不等式[J]. 计算物理, 2020, 37(6): 745-749.

YUAN Guangming, WANG Xuewen, DONG Minghui, BAI Zhiming, LIU Enchao. Tighter Monogamy Inequality for Squared Tsallis-q Entanglement[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 37(6): 745-749.

参考文献

[1] KOASHI M,WINTER A. Monogamy of entanglement and other correlations[J]. Physical Review A,2003,69(2):22309-022309.
[2] BREUER H P. Optimal entanglement criterion for mixed quantum states[J]. Physical Review Letters,2006,97(8):080501.
[3] VICENTE D,JULIO I. Lower bounds on concurrence and separability conditions[J]. Physical Review A,2007,75(5):052320.
[4] HORODECKI R,HORODECKI P,HORODECKI M,et al. Quantum entanglement[J]. Reviews of Modern Physics,2009, 81(2):865-942.
[5] COFFMAN V,KUNDU J,WOOTTERS W K. Distributed entanglement[J]. Physical Review A,2000,61:052306.
[6] LIU F,GAO F,WEN Q Y. Linear monogamy of entanglement in three-qubit systems[J]. Scientific Reports,2015,5:16745.
[7] REGULA B,MARTINO S D,LEE S,et al. Strong monogamy conjecture for multiqubit entanglement:The four-qubit case[J]. Physical Review Letters,2014,113(11):110501.
[8] ZHU X N,LI M,FEI S H. A lower bound of concurrence for multipartite quantum systems[J]. Quantum Information Processing,2018,17(2):30.
[9] ZHU X N,FEI S M. Generalized monogamy relations of concurrence for N-qubit systems[J]. Physical Review A,2015,92(6):062345.
[10] OSBORNE T J,VERSTRAETE F. General monogamy inequality for bipartite qubit entanglement[J]. Physical Review Letters,2006,96(22):220503.
[11] HIROSHIMA T,ADESSO G,ILLUMINATI F. Monogamy inequality for distributed Gaussian entanglement[J]. Physical Review Letters,2007,98(5):050503.
[12] DONG Y,HORODECKI K,HORODECKI M,et al. Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof[J]. IEEE Transactions on Information Theory,2009,55:3375.
[13] BAI Y K,XU Y F,WANG Z D. General monogamy relation for the entanglement of formation in multiqubit systems[J]. Physical Review Letters,2014,113(10):100503.
[14] SONG W,BAI Y K,YANG M,et al. Generally monogamy of multi-qubit systems in terms of squared Rényi-α entanglement[J]. Physical Review A,2016,93(2):022306.
[15] KIM J S. Tsallis entropy and entanglement constraints in multiqubit systems[J]. Physical Review A,2010,81(6):062328.
[16] YUAN G M,SONG W,YANG M,et al. Monogamy relation of multi-qubit systems for squared Tsallis-q entanglement[J]. Scientific Reports,2016,6(1):28719.
[17] LUO Y,LI Y G. Monogamy of α-th power entanglement measurement in qubit system[J]. Annals of Physics,2015,362:511-520.
[18] LUO Y,TIAN T,SHAO L H,et al. General monogamy of Tsallis-q entropy entanglement in multiqubit systems[J]. Physical Review A,2016,93(6):062340.
[19] BAI Y K,ZHANG N,YE M Y,et al. Exploring multipartite quantum correlations with the square of quantum discord[J]. Physical Review A,2013,88(1):012123.
[20] LIANG Y Y,ZHENG Z J,ZHU C J. Tighter monogamy and polygamy relations using Rényi-α entropy[J]. arXiv:1810.09131.
[21] JIN Z X,LI J,LI T,et al. Tighter monogamy relations in multipartite systems[J]. Physical Review A,2018,97:032336.
[22] TIAN Z Z,ZHOU X P,SONG G L. First-principles calculation of Li thin films:Quantum size effects and adsorption of atomic hydrogen[J]. Chinese Journal of Computational Physics,2018,35(6):729-736.
[23] SHI J P,YANG L T,LIU D. Synchronization and parameter identification of chaotic systems based on quantum-behaved particle swarm optimization[J]. Chinese Journal of Computational Physics,2019,36(2):236-244.
[24] WANG S C,ZHANG G M,SUN B,et al. Quantum molecular dynamics simulations of transport properties of liquid plutonium[J]. Chinese Journal of Computational Physics,2019,36(3):253-258.

基于非广延熵纠缠平方的严格单配性不等式

Tighter Monogamy Inequality for Squared Tsallis-q Entanglement

RichHTML

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 8

编辑推荐

Metrics

作者中心

审稿中心

期刊浏览

期刊介绍

[1]	刘中波, 樊锡君. Doppler展宽准Λ型四能级系统中传播效应的位相相关性[J]. 计算物理, 2012, 29(6): 881-890.
[2]	梁颖, 王军, 樊锡君. 开放Ⅴ型系统相对位相对LWI增益瞬态演化的影响[J]. 计算物理, 2012, 29(5): 775-780.
[3]	汤炳书, 沈廷根, 王刚. PBG-PCF基模特性全矢量平面波多极方法联合数值研究[J]. 计算物理, 2010, 27(2): 287-292.
[4]	权东晓, 裴昌幸, 马怀新, 刘丹, 阎毅. 预报单光子源诱骗态量子密钥产生率及数值计算[J]. 计算物理, 2009, 26(1): 141-146.
[5]	王勇, 李萍. 失谐对开放的四能级系统无粒子数反转激光的影响[J]. 计算物理, 2008, 25(5): 607-611.
[6]	汤炳书. C_6v对称TIR-PCF结构参数对基模零色散点的调节数值研究[J]. 计算物理, 2008, 25(1): 101-105.
[7]	卢道明. 叠加激发相干态的量子特性[J]. 计算物理, 2006, 23(2): 249-252.
[8]	刘小良, 徐慧. 中性粒子在Ioffe阱中的经典运动方程的Floquet解[J]. 计算物理, 2006, 23(1): 120-126.