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Distinguishability for the ququad-ququad orthogonal maximally entangled states. (arXiv:1810.04460v1 [quant-ph])

来源于:arXiv
We study the distinguishability of a particular type of maximally entangled states -- the "ququad-ququad" states which are tensor products of Bell states in $\mathbb{C}^4\otimes\mathbb{C}^4$. We first prove that any three orthogonal ququad-ququad maximally entangled states can be distinguished with LOCC. Then we use a new approach of semidefinite program to construct all sets of four ququad-ququad orthogonal maximally entangled states that are PPT-indistinguishable and we find some interesting sets of six states having interesting property of distinguishability. Also, we show that our approach of the optimization problem can make some computational complex problem more tractable. 查看全文>>