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Detection of multiple trine ensemble

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Abstract

In 1991, Peres and Wootters took an example of detecting the two-copy trine ensemble to demonstrate the nonlocal processing of quantum information (Phys Rev Lett 66:1119, 1991). We in this paper present a complete solution to the classic problem of detecting the N-copy trine ensemble with the minimum-error discrimination strategy. We construct the most general operators of a positive operator valued measure, from which the optimal detection of the N-copy trine ensemble can be derived. The states of the measurement operators are all entangled states, and the correct probability of detecting N-copy trine states tends to unit as the number N of the copies goes to infinite. Our results demonstrate “nonlocality without entanglement” in N-qubit pure states.

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Authors and Affiliations

  1. School of Electronic Engineering, Huainan Normal University, Huainan, 232038, People’s Republic of China

    Wen-Hai Zhang

  2. Institute of Photoelectron Computation and Detection of Huainan Normal University, Huainan, 232038, People’s Republic of China

    Wen-Hai Zhang

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  1. Wen-Hai Zhang
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Zhang, WH. Detection of multiple trine ensemble. Quantum Inf Process 22, 22 (2023). https://doi.org/10.1007/s11128-022-03772-7

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