Analytic Expression of Quantum Discords in Werner States under LQCC

In this paper, quantum discords in a special kind of states, i.e., Werner states by local quantum operations and classical communication (LQCC) protocols (WLQCC states), are studied. Nineteen parameters to quantify the quantum discords are reduced to four parameters in terms of properties of Werner...

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Main Authors: Chuanmei Xie, Zhanjun Zhang, Jianlan Chen, Xiaofeng Yin
Format: Article
Language:English
Published: MDPI AG 2020-01-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/2/147
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author Chuanmei Xie
Zhanjun Zhang
Jianlan Chen
Xiaofeng Yin
author_facet Chuanmei Xie
Zhanjun Zhang
Jianlan Chen
Xiaofeng Yin
author_sort Chuanmei Xie
collection DOAJ
description In this paper, quantum discords in a special kind of states, i.e., Werner states by local quantum operations and classical communication (LQCC) protocols (WLQCC states), are studied. Nineteen parameters to quantify the quantum discords are reduced to four parameters in terms of properties of Werner states and quantum discord. In the case of orthogonal projective measures, analytic expression of quantum discords in WLQCC states is analytically worked out. Some properties of the quantum discord in the WLQCC states are obtained, especially the variation relations between the quantum discords and the parameters characterizing the WLQCC states. By virtue of numerical computations, quantum discords in a Werner state before and after LQCC protocols are compared. It is found that quantum discord in any WLQCC state cannot exceed that in the original Werner state.
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spelling doaj.art-e87336fffe194c968b32375ec301af6f2022-12-22T04:10:35ZengMDPI AGEntropy1099-43002020-01-0122214710.3390/e22020147e22020147Analytic Expression of Quantum Discords in Werner States under LQCCChuanmei Xie0Zhanjun Zhang1Jianlan Chen2Xiaofeng Yin3School of Physics & Material Science, Anhui University, Hefei 230039, ChinaSchool of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, ChinaSchool of Physics & Material Science, Anhui University, Hefei 230039, ChinaSchool of Physics & Material Science, Anhui University, Hefei 230039, ChinaIn this paper, quantum discords in a special kind of states, i.e., Werner states by local quantum operations and classical communication (LQCC) protocols (WLQCC states), are studied. Nineteen parameters to quantify the quantum discords are reduced to four parameters in terms of properties of Werner states and quantum discord. In the case of orthogonal projective measures, analytic expression of quantum discords in WLQCC states is analytically worked out. Some properties of the quantum discord in the WLQCC states are obtained, especially the variation relations between the quantum discords and the parameters characterizing the WLQCC states. By virtue of numerical computations, quantum discords in a Werner state before and after LQCC protocols are compared. It is found that quantum discord in any WLQCC state cannot exceed that in the original Werner state.https://www.mdpi.com/1099-4300/22/2/147local quantum operations and classical communication (lqcc)werner state under lqccquantum discordanalytical expression of quantum discord
spellingShingle Chuanmei Xie
Zhanjun Zhang
Jianlan Chen
Xiaofeng Yin
Analytic Expression of Quantum Discords in Werner States under LQCC
Entropy
local quantum operations and classical communication (lqcc)
werner state under lqcc
quantum discord
analytical expression of quantum discord
title Analytic Expression of Quantum Discords in Werner States under LQCC
title_full Analytic Expression of Quantum Discords in Werner States under LQCC
title_fullStr Analytic Expression of Quantum Discords in Werner States under LQCC
title_full_unstemmed Analytic Expression of Quantum Discords in Werner States under LQCC
title_short Analytic Expression of Quantum Discords in Werner States under LQCC
title_sort analytic expression of quantum discords in werner states under lqcc
topic local quantum operations and classical communication (lqcc)
werner state under lqcc
quantum discord
analytical expression of quantum discord
url https://www.mdpi.com/1099-4300/22/2/147
work_keys_str_mv AT chuanmeixie analyticexpressionofquantumdiscordsinwernerstatesunderlqcc
AT zhanjunzhang analyticexpressionofquantumdiscordsinwernerstatesunderlqcc
AT jianlanchen analyticexpressionofquantumdiscordsinwernerstatesunderlqcc
AT xiaofengyin analyticexpressionofquantumdiscordsinwernerstatesunderlqcc