Entanglement cost in practical scenarios

Details Entanglement cost in practical scenarios Entanglement cost in practical scenarios

2009-06-19

arxiv.org/abs/0906.3698v3

Physical Review Letters 106, 130503 (2011)

Physics

Quantum Physics

4+4 pages. See also arXiv:0704.1957; v2: minor typos corrected; v3: final version to appear on PRL

Scientific paper

10.1103/PhysRevLett.106.130503

We quantify the one-shot entanglement cost of an arbitrary bipartite state, that is the minimum number of singlets needed by two distant parties to create a single copy of the state up to a finite accuracy, using local operations and classical communication only. This analysis, in contrast to the traditional one, pertains to scenarios of practical relevance, in which resources are finite and transformations can only be achieved approximately. Moreover, it unveils a fundamental relation between two well-known entanglement measures, namely, the Schmidt number and the entanglement of formation. Using this relation, we are able to recover the usual expression of the entanglement cost as a special case.

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