The entanglement of purification

Journal article (2002)

Authors

B.M. Terhal California Institute of Technology, IBM Thomas J. Watson Research Centre
Michal Horodecki University of Gdańsk
Debbie W. Leung IBM Thomas J. Watson Research Centre
David P. Divincenzo IBM Thomas J. Watson Research Centre, California Institute of Technology
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Published Date

2002

Language

English

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Abstract

We introduce a measure of both quantum as well as classical correlations in a quantum state, the entanglement of purification. We show that the (regularized) entanglement of purification is equal to the entanglement cost of creating a state ρ asymptotically from maximally entangled states, with negligible communication. We prove that the classical mutual information and the quantum mutual information divided by two are lower bounds for the regularized entanglement of purification. We present numerical results of the entanglement of purification for Werner states in H2 ⊗ H2.