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arXiv · 1810.04460

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

Zong-Xing Xiong·Mao-Sheng Li·Zhu-Jun Zheng·Chuan-Jie Zhu·Shao-Ming Fei
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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 \cite{CosentinoR14} about the PPT-distinguishability of "lattice" maximally entangled states can be answered.

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Zong-Xing Xiong, Mao-Sheng Li, Zhu-Jun Zheng, Chuan-Jie Zhu, Shao-Ming Fei. 2018-10-10. Positive-partial-transpose distinguishability for lattice-type maximally entangled states. https://doi.org/10.1103/physreva.99.032346

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