AN ALGORITHM FOR CHECKING EXTREMALITY OF ENTANGLED STATES WITH POSITIVE PARTIAL TRANSPOSES

Abstract

We characterize extreme rays of the cone T of all positive semi-definite block matrices whose partial transposes are also positive semi-definite. We also construct an algorithm checking whether a given PPTES generates an extreme ray in the cone T or not. Using this algorithm, we give an example of 4 ⊗ 4 PPT entangle state of the type (5, 5), which generates extreme ray of the cone T

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