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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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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inJournal
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