Reversibility of Local Transformations of Multiparticle Entanglement

  • Authors:

  • N. Linden;S. Popescu;B. Schumacher;M. Westmoreland

  • Affiliations:

  • Department of Mathematics, University of Bristol, University Walk, Bristol, UK BS8 1TW;H.H. Wills Physics Laboratory, Hewlett-Packard Laboratories, University of Bristol, Bristol, UK and BRIMS BS8 1TL, BS12 6QZ;Department of Physics, Kenyon College, Gambier, USA 43022;Department of Mathematical Sciences, Denison University, Granville, USA 43023

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2005

Quantified Score

Hi-index 0.06

Visualization

Abstract

We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for any two parties must remain constant. This shows, for example, that it is not possible to convert 2N three-party GHZ states into 3N singlets, even in an asymptotic sense. Thus there is true three-party non-locality (i.e. not all three party entanglement is equivalent to two-party entanglement). Our results also allow us to make quantitative. statements about concentrating multi-particle entanglement. Finally, we show that there is true n-party entanglement for any n.