Phys. Rev. Lett. 103, 160504 (2009) [4 pages]Relative Entropy of Entanglement and Restricted MeasurementsReceived 21 July 2009; published 14 October 2009 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. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.160504
DOI:
10.1103/PhysRevLett.103.160504
PACS:
03.67.Mn, 03.65.Ud
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