One-way LOCC indistinguishability of maximally entangled states |
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Authors: | Zhi-Chao Zhang Qiao-Yan Wen Fei Gao Guo-Jing Tian Tian-Qing Cao |
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Affiliation: | 1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China
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Abstract: | In this letter, we mainly study the local indistinguishability of mutually orthogonal maximally entangled states, which are in canonical form. Firstly, we present a feasible sufficient and necessary condition for distinguishing such states by one-way local operations and classical communication (LOCC). Secondly, for the application of this condition, we exhibit one class of maximally entangled states that can be locally distinguished with certainty. Furthermore, sets of $d-1$ indistinguishable maximally entangled states by one-way LOCC are demonstrated in $d \otimes d$ (for $d=7, 8, 9, 10$ ). Interestingly, we discover there exist sets of $d-2$ such states in $d \otimes d$ (for $d=8, 9, 10$ ), which are not perfectly distinguishable by one-way LOCC. Finally, we conjecture that there exist $d-1$ or fewer indistinguishable maximally entangled states in $d \otimes d(d \ge 5)$ by one-way LOCC. |
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