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

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

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.

Keywords: quantum steering ellipsoid quantum discord decoherence

Received: 13 February 2015
Revised: 25 May 2015
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	03.65.Ta	(Foundations of quantum mechanics; measurement theory)
	89.70.Cf	(Entropy and other measures of information)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11305074, 11135002, and 11275083).

Corresponding Authors: Jiang Feng-Jian, Lü Hai-Jiang
E-mail: jfjiang@mail.ustc.edu.cn;luhj9404@mail.ustc.edu.cn

Cite this article:

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 2015 Chin. Phys. B 24 100304

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

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