Entanglement Cost of Bipartite Mixed States

G. Vidal; W. Dür; J. I. Cirac

doi:10.1103/PhysRevLett.89.027901

Entanglement Cost of Bipartite Mixed States

G. Vidal, W. Dür, and J. I. Cirac

Phys. Rev. Lett. 89, 027901 – Published 20 June 2002

Abstract

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.

Received 11 January 2002

DOI:https://doi.org/10.1103/PhysRevLett.89.027901

Authors & Affiliations

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