Relative entropy of entanglement and restricted measurements.
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. 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 nonlocal resource at a strictly positive rate.
Piani
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Institute for Quantum Computing & Department of Physics and Astronomy, University of Waterloo, 200 University Avenue W., N2L 3G1 Waterloo, Canada.