Analytic Expression of Quantum Discords in Werner States under LQCC

Chuanmei Xie; Zhanjun Zhang; Jianlan Chen; Xiaofeng Yin

doi:10.3390/e22020147

Analytic Expression of Quantum Discords in Werner States under LQCC

Entropy (Basel). 2020 Jan 26;22(2):147. doi: 10.3390/e22020147.

Authors

Chuanmei Xie¹, Zhanjun Zhang², Jianlan Chen¹, Xiaofeng Yin¹

Affiliations

¹ School of Physics & Material Science, Anhui University, Hefei 230039, China.
² School of Information and Electronic Engineering, Zhejiang Gongshang University, Hangzhou 310018, China.

Abstract

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.

Keywords: Werner state under LQCC; analytical expression of quantum discord; local quantum operations and classical communication (LQCC); quantum discord.