Locking Classical Correlations in Quantum States

Journal article (2004)

Authors

David P. Divincenzo California Institute of Technology, IBM Thomas J. Watson Research Centre

Michal Horodecki University of Gdańsk

Debbie W. Leung Mathematical Science Research Institute, IBM Thomas J. Watson Research Centre, California Institute of Technology

John A. Smolin IBM Thomas J. Watson Research Centre

B.M. Terhal California Institute of Technology, IBM Thomas J. Watson Research Centre

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Published Date

2004

Language

English

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Abstract

We show that there exist bipartite quantum states which contain a large locked classical correlation that is unlocked by a disproportionately small amount of classical communication. In particular, there are [Formula presented]-qubit states for which a one-bit message doubles the optimal classical mutual information between measurement results on the subsystems, from [Formula presented] bits to [Formula presented] bits. This phenomenon is impossible classically. However, states exhibiting this behavior need not be entangled. We study the range of states exhibiting this phenomenon and bound its magnitude.