Distinguishing maximally entangled states by one-way local operations and classical communication

Zhi-Chao Zhang State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications Keqin Feng Department of Mathematical Sciences, Tsinghua University Fei Gao State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications Qiao-Yan Wen State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications

Information Theory mathscidoc:1612.19001

PHYSICAL REVIEW A, 91, (012329), 2015
entangled states. We construct sets of fewer than d orthogonal maximally entangled states which are not distinguished by one-way local operations and classical communication (LOCC) in the Hilbert space of d ⊗ d. The proof, based on the Fourier transform of an additive group, is very simple but quite effective. Simultaneously, our results give a general unified upper bound for the minimum number of one-way LOCC indistinguishable maximally entangled states. This improves previous results which only showed sets of N  d − 2 such states. Finally, our results also show that previous conjectures in Zhang et al. [Z.-C. Zhang, Q.-Y. Wen, F. Gao, G.-J. Tian, and T.-Q. Cao, Quant. Info. Proc. 13, 795 (2014)] are indeed correct.
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@inproceedings{zhi-chao2015distinguishing,
  title={Distinguishing maximally entangled states by one-way local operations and classical communication},
  author={Zhi-Chao Zhang, Keqin Feng, Fei Gao, and Qiao-Yan Wen},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161209115714180879684},
  booktitle={PHYSICAL REVIEW A},
  volume={91},
  number={012329},
  year={2015},
}
Zhi-Chao Zhang, Keqin Feng, Fei Gao, and Qiao-Yan Wen. Distinguishing maximally entangled states by one-way local operations and classical communication. 2015. Vol. 91. In PHYSICAL REVIEW A. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20161209115714180879684.
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