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

  • Authors:

  • Antonio Acin;Guifre Vidal;J. Ignacio Cirac

  • Affiliations:

  • GAP-Optique, University of Geneva, Geneva, Switzerland;Institute for Quantum Information, California Institute of Technology, Pasadena, California;Max-Planck Institut für Quantenoptik, Garching, Germany

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2003

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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 tripartite pure-state entanglement in a reversible way. The techniques that we use indicate that there is a connection between this result and the irreversibility that occurs in the asymptotic preparation and distillation of bipartite mixed states.