Abstract
In this paper, we study the one-way local operations and classical communication (LOCC) problem. In \(\mathbb {C}^d\otimes \mathbb {C}^d\) with \(d\ge 4\), we construct a set of \(3\lceil \sqrt{d}\rceil -1\) one-way LOCC indistinguishable maximally entangled states which are generalized Bell states. Moreover, we show that there are four maximally entangled states which cannot be perfectly distinguished by one-way LOCC measurements for any dimension \(d\ge 4\).
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Acknowledgments
We are thankful for the referees’ suggestions and careful reading of our paper. This work is supported by NSFC (Grant Nos. 11475178, 11275131).
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Wang, YL., Li, MS., Zheng, ZJ. et al. On small set of one-way LOCC indistinguishability of maximally entangled states. Quantum Inf Process 15, 1661–1668 (2016). https://doi.org/10.1007/s11128-016-1243-x
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DOI: https://doi.org/10.1007/s11128-016-1243-x