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Published January 2003 | Submitted + Published
Journal Article Open

On the structure of a reversible entanglement generating set for tripartite states

Abstract

We show that Einstein–Podolsky–Rosen–Bohm (EPR) and Greenberger–Horne–Zeilinger–Mermin (GHZ) states can not generate, through local manipulation and in the asymptotic limit, all forms of three–partite pure–state entanglement in a reversible way. The techniques that we use suggest that there may be a connection between this result and the irreversibility that occurs in the asymptotic preparation and distillation of bipartite mixed states.

Additional Information

© 2003 Rinton Press. Received June 10, 2002. Revised September 24, 2002. A. A. thanks J. Preskill and the IQI, Caltech, for hospitality. We thank D. P. DiVincenzo, W. Dür, E. Jané, N. Linden, Ll. Masanes and S. Popescu for discussion. This work was supported by the European project EQUIP (IST-1999-11053), by the ESF, by the Swiss FNRS and OFES, and by the NSF (of USA), Grant. No. EIA-0086038.

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August 23, 2023
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