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Random low rank mixed states are entangled

H Chen

Published Nov 1, 2001• 0 citations
OpenAlex

Abstract

We prove that random rank r<2m-2 mixed states in bipartite mxm systems are entangled based on algebraic-geometric separability criterion proved in [1]. This also means that the algebraic-geometric separability criterion can be used to detect all low rank entangled mixed states outside a measure zero set.

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