Relative Entropy of Entanglement and Restricted Measurements

Details Relative Entropy of Entanglement and Restricted Measurements Relative Entropy of Entanglement and Restricted Measurements

2009-04-17

arxiv.org/abs/0904.2705v1

Phys. Rev. Lett. 103, 160504 (2009)

Physics

Quantum Physics

5 pages; see arXiv:0904.0281 for a different proof of the strict positiveness of the regularized relative entropy of entanglem

Scientific paper

10.1103/PhysRevLett.103.160504

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.

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