A symmetric geometric measure and the dynamics of quantum discord

A symmetric measure of quantum correlation based on the Hilbert–Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are att...

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Published inChinese physics B Vol. 22; no. 4; pp. 94 - 102
Main Author 蒋峰建 吕海江 闫新虎 石名俊
Format Journal Article
LanguageEnglish
Published 01.04.2013
Subjects
Asymptotic properties
Correlation
Correlation analysis
Dissipation
Dynamical systems
Dynamics
Evolution
Qubits (quantum computing)
Symmetry
几何测量
和谐
对称
希尔伯特
解析表达式
量子关联
量子比特
量子系统
Online AccessGet full text
ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/22/4/040303

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Abstract A symmetric measure of quantum correlation based on the Hilbert–Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering from dissipative noise. Sudden changes occur, even twice, in the time evolution of quantum correlation. There exists a certain correspondence between the evolution of quantum correlation in the systems and that in the environments, and the quantum correlation in the systems will be transferred into the environments completely and asymptotically.
AbstractList A symmetric measure of quantum correlation based on the Hilbert–Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering from dissipative noise. Sudden changes occur, even twice, in the time evolution of quantum correlation. There exists a certain correspondence between the evolution of quantum correlation in the systems and that in the environments, and the quantum correlation in the systems will be transferred into the environments completely and asymptotically.
Author 蒋峰建 吕海江 闫新虎 石名俊
AuthorAffiliation Depa（tment of Modem Physics, University of Science and Technology of China, Hefei 230026, China School of Information Engineering, Huangshan University, Huangshan 245041, China
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Notes A symmetric measure of quantum correlation based on the Hilbert–Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the optimization procedure so that numerical evaluation can be performed efficiently. Analytical expressions for the quantum correlation are attained for some special states. We further investigate the dynamics of quantum correlation of the system qubits in the presence of independent dissipative environments. Several nontrivial aspects are demonstrated. We find that the quantum correlation can increase even if the system state is suffering from dissipative noise. Sudden changes occur, even twice, in the time evolution of quantum correlation. There exists a certain correspondence between the evolution of quantum correlation in the systems and that in the environments, and the quantum correlation in the systems will be transferred into the environments completely and asymptotically.
Jiang Feng-Jian, Lü Hai-Jiang, Yan Xin-Hu ,Shi Ming-Jun（ a） Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China b） School of Information Engineering, Huangshan University, Huangshan 245041, China
11-5639/O4
quantum correlation; geometric measure
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Snippet A symmetric measure of quantum correlation based on the Hilbert–Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the...
A symmetric measure of quantum correlation based on the Hilbert-Schmidt distance is presented in this paper. For two-qubit states, we considerably simplify the...
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SubjectTerms Asymptotic properties
Correlation
Correlation analysis
Dissipation
Dynamical systems
Dynamics
Evolution
Qubits (quantum computing)
Symmetry
几何测量
和谐
对称
希尔伯特
解析表达式
量子关联
量子比特
量子系统
Title A symmetric geometric measure and the dynamics of quantum discord
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