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SUMMARY:Towards a theory of entanglement for finite resources: single-shot
  entanglement cost - Francesco Buscemi (Cambridge CQC)
DTSTART:20091014T131500Z
DTEND:20091014T141500Z
UID:TALK20879@talks.cam.ac.uk
CONTACT:Adrian Kent
DESCRIPTION:Single-shot entanglement dilution is the protocol by which two
  distant parties convert a finite number of singlets\, which they initiall
 y share\, to a given bipartite target state\, using local operations and c
 lassical communication. We refer to the minimum number of singlets needed 
 to achieve this conversion as the single-shot entanglement cost of the tar
 get state. In this paper we evaluate this quantity in the most general cas
 e where dilution is achieved with a fixed accuracy. For the case of exact 
 dilution\, the expression for the cost reduces to a simple form analogous 
 to the entanglement of formation. The extension of our result to the asymp
 totic scenario yields an alternative proof of the equivalence between the 
 asymptotic entanglement cost and the regularized entanglement of formation
 .
LOCATION:MR14\, Centre for Mathematical Sciences
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