Characterizing the dynamics of quantum discord under phase damping with POVM measurements

doi:10.1088/1674-1056/24/10/100304

中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100304-100304.doi: 10.1088/1674-1056/24/10/100304

Characterizing the dynamics of quantum discord under phase damping with POVM measurements

蒋峰建, 叶剑锋, 闫新虎, 吕海江

School of Information Engineering, Huangshan University, Huangshan 245041, China

收稿日期:2015-02-13 修回日期:2015-05-25 出版日期:2015-10-05 发布日期:2015-10-05
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11305074, 11135002, and 11275083).

Characterizing the dynamics of quantum discord under phase damping with POVM measurements

Jiang Feng-Jian (蒋峰建), Ye Jian-Feng (叶剑锋), Yan Xin-Hu (闫新虎), Lü Hai-Jiang (吕海江)

School of Information Engineering, Huangshan University, Huangshan 245041, China

Received:2015-02-13 Revised:2015-05-25 Online:2015-10-05 Published:2015-10-05
Contact: Jiang Feng-Jian, Lü Hai-Jiang E-mail:jfjiang@mail.ustc.edu.cn;luhj9404@mail.ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11305074, 11135002, and 11275083).

摘要/Abstract

摘要： In the analysis of quantum discord, the minimization of average entropy traditionally involved over orthogonal projective measurements may be attained at more optimal decompositions by using the positive-operator-valued measure (POVM) measurements. Taking advantage of the quantum steering ellipsoid in combination with three-element POVM optimization, we show that, for a family of two-qubit X states locally interacting with Markovian non-dissipative environments, the decay rates of quantum discord show smooth dynamical evolutions without any sudden change. This is in contrast to two-element orthogonal projective measurements, in which case the sudden change of the decay rates of quantum and classical decoherences may be a common phenomenon. Notwithstanding this, we find that a subset of X states (including the Bell diagonal states) involving POVM optimization can still preserve the sudden change character as usual.

关键词: quantum steering ellipsoid, quantum discord, decoherence

Abstract: In the analysis of quantum discord, the minimization of average entropy traditionally involved over orthogonal projective measurements may be attained at more optimal decompositions by using the positive-operator-valued measure (POVM) measurements. Taking advantage of the quantum steering ellipsoid in combination with three-element POVM optimization, we show that, for a family of two-qubit X states locally interacting with Markovian non-dissipative environments, the decay rates of quantum discord show smooth dynamical evolutions without any sudden change. This is in contrast to two-element orthogonal projective measurements, in which case the sudden change of the decay rates of quantum and classical decoherences may be a common phenomenon. Notwithstanding this, we find that a subset of X states (including the Bell diagonal states) involving POVM optimization can still preserve the sudden change character as usual.

Key words: quantum steering ellipsoid, quantum discord, decoherence

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

03.65.Ta (Foundations of quantum mechanics; measurement theory) 89.70.Cf (Entropy and other measures of information)

蒋峰建, 叶剑锋, 闫新虎, 吕海江. Characterizing the dynamics of quantum discord under phase damping with POVM measurements[J]. 中国物理B, 2015, 24(10): 100304-100304.

Jiang Feng-Jian (蒋峰建), Ye Jian-Feng (叶剑锋), Yan Xin-Hu (闫新虎), Lü Hai-Jiang (吕海江). Characterizing the dynamics of quantum discord under phase damping with POVM measurements[J]. Chin. Phys. B, 2015, 24(10): 100304-100304.

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Characterizing the dynamics of quantum discord under phase damping with POVM measurements

Characterizing the dynamics of quantum discord under phase damping with POVM measurements

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