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Title: Lower bound of concurrence based on positive maps

Abstract

We study the concurrence of arbitrary dimensional bipartite quantum systems. An explicit analytical lower bound of concurrence is obtained which detects entanglement for some quantum states better than some well-known separability criteria and improves the lower bounds, such as from the positive partial transposition, realignment criteria, and Breuer's entanglement witness.

Authors:
 [1];  [2];  [2]
  1. Department of Mathematics, School of Science, South China University of Technology, Guangzhou 510640 (China)
  2. School of Mathematical Sciences, Capital Normal University, Beijing 100048 (China)
Publication Date:
OSTI Identifier:
21541401
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 83; Journal Issue: 3; Other Information: DOI: 10.1103/PhysRevA.83.034303; (c) 2011 American Institute of Physics; Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BOUND STATE; MANY-DIMENSIONAL CALCULATIONS; QUANTUM ENTANGLEMENT; QUANTUM STATES

Citation Formats

Xiaosheng, Li, Xiuhong, Gao, Shaoming, Fei, and Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig. Lower bound of concurrence based on positive maps. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.83.034303.
Xiaosheng, Li, Xiuhong, Gao, Shaoming, Fei, & Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig. Lower bound of concurrence based on positive maps. United States. https://doi.org/10.1103/PHYSREVA.83.034303
Xiaosheng, Li, Xiuhong, Gao, Shaoming, Fei, and Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig. 2011. "Lower bound of concurrence based on positive maps". United States. https://doi.org/10.1103/PHYSREVA.83.034303.
@article{osti_21541401,
title = {Lower bound of concurrence based on positive maps},
author = {Xiaosheng, Li and Xiuhong, Gao and Shaoming, Fei and Max-Planck-Institute for Mathematics in the Sciences, D-04103 Leipzig},
abstractNote = {We study the concurrence of arbitrary dimensional bipartite quantum systems. An explicit analytical lower bound of concurrence is obtained which detects entanglement for some quantum states better than some well-known separability criteria and improves the lower bounds, such as from the positive partial transposition, realignment criteria, and Breuer's entanglement witness.},
doi = {10.1103/PHYSREVA.83.034303},
url = {https://www.osti.gov/biblio/21541401}, journal = {Physical Review. A},
issn = {1050-2947},
number = 3,
volume = 83,
place = {United States},
year = {Tue Mar 15 00:00:00 EDT 2011},
month = {Tue Mar 15 00:00:00 EDT 2011}
}