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 \cite{CosentinoR14} about the PPT-distinguishability of "lattice" maximally entangled states can be answered.
Cite
@article{arxiv.1810.04460,
title = {Positive-partial-transpose distinguishability for lattice-type maximally entangled states},
author = {Zong-Xing Xiong and Mao-Sheng Li and Zhu-Jun Zheng and Chuan-Jie Zhu and Shao-Ming Fei},
journal= {arXiv preprint arXiv:1810.04460},
year = {2019}
}
Comments
It's rewritten. We deleted the original section II about PPT-distinguishability of three ququad-ququad MESs. Moreover, we have joined new section V which discuss PPT-distinguishability of lattice MESs for cases $t=3$ and $t=4$ . As a result, the sequence of the theorems in our article has been changed. And we revised the title of our article