Relative Entropy of Entanglement and Restricted Measurements

Abstract

We introduce variants of relative entropy of entanglement based on the optimal distinguishability from unentangled states by means of restricted measurements. In this way, we are able to prove that the standard regularized entropy of entanglement is strictly positive for all multipartite entangled states. In particular, this implies that the asymptotic creation of a multipartite entangled state by means of local operations and classical communication always requires the consumption of a non-local resource at a strictly positive rate.

5 pages; see arXiv:0904.0281 for a different proof of the strict positiveness of the regularized relative entropy of entanglement on every entangled state

References in corpus (2)

• Entanglement Theory and the Second Law of Thermodynamics
• Broadcast copies reveal the quantumness of correlations

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