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MiS Preprint
52/2019

PPT-distinguishability for the lattice maximally entangled states

Zong-Xing Xiong, Mao-Sheng Li, Zhu-Jun Zheng, Chuan-Jie Zhu and Shao-Ming Fei

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 [Computation, 14, 1098-1106 (2014)] about the PPT-distinguishability of "lattice" maximally entangled states can be answered.

Received:
Jul 13, 2019
Published:
Jul 18, 2019

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2019 Repository Open Access
Zong-Xing Xiong, Mao-Sheng Li, Zhu-Jun Zheng, Chuan-Jie Zhu and Shao-Ming Fei

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

In: Physical review / A, 99 (2019) 3, p. 032346