Evolution equation for geometric quantum correlation measures

Ming-Liang Hu and Heng Fan
Phys. Rev. A 91, 052311 – Published 14 May 2015

Abstract

A simple relation is established for the evolution equation of quantum-information-processing protocols such as quantum teleportation, remote state preparation, Bell-inequality violation, and particularly the dynamics of geometric quantum correlation measures. This relation shows that when the system traverses the local quantum channel, various figures of merit of the quantum correlations for different protocols demonstrate a factorization decay behavior for dynamics. We identified the family of quantum states for different kinds of quantum channels under the action of which the relation holds. This relation simplifies the assessment of many quantum tasks.

  • Figure
  • Figure
  • Received 4 July 2014
  • Revised 9 March 2015

DOI:https://doi.org/10.1103/PhysRevA.91.052311

©2015 American Physical Society

Authors & Affiliations

Ming-Liang Hu1,* and Heng Fan2,3,†

  • 1School of Science, Xi'an University of Posts and Telecommunications, Xi'an 710121, China
  • 2Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3Collaborative Innovation Center of Quantum Matter, Beijing 100190, China

  • *mingliang0301@163.com
  • hfan@iphy.ac.cn

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Issue

Vol. 91, Iss. 5 — May 2015

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