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Optimal visible compression rate for mixed states is determined by entanglement of purification

Masahito Hayashi
Phys. Rev. A 73, 060301(R) – Published 2 June 2006

Abstract

Entanglement of purification was introduced by Terhal et al. [J. Math. Phys. 43, 4286 (2002)] for characterizing the bound of the generation of correlated states from maximally entangled states with sublinear size of classical communication. On the other hand, M. Horodecki [Phys. Rev. A61, 052309 (2000)] obtained the optimal compression rate with a mixed states ensemble in the visible setting. In this paper, we prove that the optimal visible compression rate for mixed states is equal to the limit of the regularized entanglement of purification of the state corresponding to the given ensemble. This result gives a unique interpretation to the entanglement of purification.

  • Received 30 November 2005

DOI:https://doi.org/10.1103/PhysRevA.73.060301

©2006 American Physical Society

Authors & Affiliations

Masahito Hayashi*

  • ERATO-SORST Quantum Computation and Information Project, JST, Tokyo 113-0033, Japan and Superrobust Computation Project, Information Science and Technology Strategic Core (21st Century COE by MEXT), Graduate School of Information Science and Technology, The University of Tokyo, Japan

  • *Electronic address: masahito@qci.jst.go.jp

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Issue

Vol. 73, Iss. 6 — June 2006

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