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Phys. Rev. Lett. 89, 027901 (2002) [4 pages]

Entanglement Cost of Bipartite Mixed States

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G. Vidal1, W. Dür2, and J. I. Cirac3
1Institute for Quantum Information, California Institute of Technology, Pasadena, California 91125
2Sektion Physik, Ludwig-Maximilians-Universität München, Theresienstrasse 37, D-80333 München, Germany
3Max-Planck Institut für Quantenoptik, Hans-Kopfermann Strasse 1, D-85748 Garching, Germany

Received 11 January 2002; published 20 June 2002

We compute the entanglement cost of several families of bipartite mixed states, including arbitrary mixtures of two Bell states. This is achieved by developing a technique that allows us to ascertain the additivity of the entanglement of formation for any state supported on specific subspaces. As a side result, the proof of the irreversibility in asymptotic local manipulations of entanglement is extended to two-qubit systems.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.027901
DOI:
10.1103/PhysRevLett.89.027901
PACS:
03.65.Ud, 03.65.Ca, 03.67.Hk