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Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Estimating entanglement through local correlations

Isabel Sainz, Christian Kothe, Gunnar G. Bjork

Published Jun 15, 2007• 1 citation
Publisher

Abstract

A bipartite, arbitrary-dimensional entanglement measure based on local correlations of any set of generators of the corresponding algebras is proposed. An explicit relation with the I- and 3-concurrences for pure states, and a limit for entangled mixed states, are given.
DOI
10.1117/12.752309

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We propose an entanglement measure for two quNits based on the covariances of a set of generators of the su(N)\mathrm{su}(N)su(N) algebra. In particular, we represent this measure in terms of the mutually unbiased projectors for NNN prime. For pure states this measure quantifies entanglement, we obtain an explicit expression which relates it to the concurrence hierarchy, specifically the III-concurrence and the three-concurrence. For mixed states we propose a separability criterion.