Lower bounds on concurrence and separability conditions

Julio I. de Vicente
Phys. Rev. A 75, 052320 – Published 17 May 2007; Erratum Phys. Rev. A 77, 039903 (2008)

Abstract

We obtain analytical lower bounds on the concurrence of bipartite quantum systems in arbitrary dimensions related to the violation of separability conditions based on local uncertainty relations and on the Bloch representation of density matrices. We also illustrate how these results complement and improve those recently derived [Chen, Albeverio, and Fei, Phys. Rev. Lett. 95, 040504 (2005)] by considering the Peres-Horodecki and the computable cross-norm or realignment criteria.

  • Figure
  • Received 28 November 2006

DOI:https://doi.org/10.1103/PhysRevA.75.052320

©2007 American Physical Society

Erratum

Authors & Affiliations

Julio I. de Vicente

  • Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain

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Issue

Vol. 75, Iss. 5 — May 2007

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