Positive-partial-transpose distinguishability for lattice-type maximally entangled states

Abstract

We study the distinguishability of a particular type of maximally entangled states -- the "lattice states" using a new approach of semidefinite program. With this, we successfully construct all sets of four ququad-ququad orthogonal maximally entangled states that are locally indistinguishable and find some curious sets of six states having interesting property of distinguishability. Also, some of the problems arose from CosentinoR14 about the PPT-distinguishability of "lattice" maximally entangled states can be answered.

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