Observable estimation of entanglement for arbitrary finite-dimensional mixed states

Cheng-Jie Zhang, Yan-Xiao Gong, Yong-Sheng Zhang, and Guang-Can Guo
Phys. Rev. A 78, 042308 – Published 9 October 2008

Abstract

We present observable upper bounds for the squared concurrence, which are the dual inequalities of the observable lower bounds introduced by Mintert and Buchleitner [Phys. Rev. Lett. 98, 140505 (2007)] and Aolita et al. [Phys. Rev. A 78, 022308 (2008)]. These bounds can be used to estimate entanglement for arbitrary experimental unknown finite-dimensional states by a few experimental measurements on a twofold copy ρρ of the mixed states. Furthermore, the degree of mixing for a mixed state and some properties of the linear entropy also have certain relations with the upper and lower bounds of its squared concurrence.

  • Figure
  • Figure
  • Received 18 June 2008

DOI:https://doi.org/10.1103/PhysRevA.78.042308

©2008 American Physical Society

Authors & Affiliations

Cheng-Jie Zhang*, Yan-Xiao Gong, Yong-Sheng Zhang, and Guang-Can Guo

  • Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, People’s Republic of China

  • *zhangcj@mail.ustc.edu.cn
  • yshzhang@ustc.edu.cn

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Issue

Vol. 78, Iss. 4 — October 2008

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