Towards a theory of entanglement for finite resources: single-shot entanglement cost

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• Francesco Buscemi (Cambridge CQC)
• Wednesday 14 October 2009, 14:15-15:15
• MR14, Centre for Mathematical Sciences.

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Single-shot entanglement dilution is the protocol by which two distant parties convert a finite number of singlets, which they initially share, to a given bipartite target state, using local operations and classical communication. We refer to the minimum number of singlets needed to achieve this conversion as the single-shot entanglement cost of the target state. In this paper we evaluate this quantity in the most general case 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 asymptotic scenario yields an alternative proof of the equivalence between the asymptotic entanglement cost and the regularized entanglement of formation.

This talk is part of the CQIF Seminar series.

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