PPT-distinguishability for the lattice maximally entangled states

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

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Submission date: 13. Jul. 2019
Pages: 14
published in: Physical review / A, 99 (2019) 3, art-no. 032346 
DOI number (of the published article): 10.1103/PhysRevA.99.032346
Bibtex
with the following different title: Positive-partial-transpose distinguishability for lattice-type maximally entangled states
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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.