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Local discrimination scheme for some unitary operations

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Abstract

It has been shown that for two different multipartite unitary operations U 1 and U 2, when tr(U †1 U 2) = 0, they can always be perfectly distinguished by local operations and classical communication in the single-run scenario. However, how to find the detailed scheme to complete the local discrimination is still a fascinating problem. In this paper, aiming at some U 1 and U 2 acting on the bipartite and tripartite space respectively, especially for U †1 U 2 locally unitary equivalent to the high dimensional X-type hermitian unitary matrix V with trV = 0, we put forward the explicit local distinguishing schemes in the single-run scenario.

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Authors and Affiliations

  1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, 100876, China

    TianQing Cao, Fei Gao, GuoJing Tian & QiaoYan Wen

  2. State Key Laboratory of Cryptology, Beijing, 100878, China

    TianQing Cao

  3. School of Science, Xi’an University of Posts and Telecommunications, Xi’an, 710121, China

    ShuCui Xie

Authors
  1. TianQing Cao
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  2. Fei Gao
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  3. GuoJing Tian
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  4. ShuCui Xie
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  5. QiaoYan Wen
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Correspondence to Fei Gao.

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Cao, T., Gao, F., Tian, G. et al. Local discrimination scheme for some unitary operations. Sci. China Phys. Mech. Astron. 59, 690311 (2016). https://doi.org/10.1007/s11433-016-0121-8

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  • DOI: https://doi.org/10.1007/s11433-016-0121-8

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