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A pairwise additive strategy for quantifying multipartite entanglement

2006/10/03 by Gerardo A. Paz-Silva, Paz-Silva, Gerardo A., John H. Reina +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0610017

4 pages, new version contains corrected typos. Title changed, proofs added, new results reported. Additivity revisited

arxiv created 2007/02/03 · arxiv updated 2009/12/01

Abstract

Based on the idea of measuring the factorizability of a given density matrix, we propose a pairwise analysis strategy for quantifying and understanding multipartite entanglement. The methodology proves very effective as it immediately guarantees, in addition to the usual entanglement properties, additivity and strong super additivity. We give a specific set of quantities that fulfill the protocol and which, according to our numerical calculations, make the entanglement measure an LOCC non-increasing function. The strategy allows a redefinition of the structural concept of global entanglement.

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