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 · Physical Review A · 2019
We study the distinguishability of a particular type of maximally entangled states---the ``lattice states''---using an approach of a 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 an interesting property of distinguishability. Also, some of the problems that arose from Cosentino and Russo [Quantum Inf. Comput. 14, 1098 (2013)] about the positive-partial-transpose distinguishability of lattice maximally entangled states can be answered.