Local Hypothesis Testing Between a Pure Bipartite State and the White Noise State

@article{Hayashi2010LocalHT,
  title={Local Hypothesis Testing Between a Pure Bipartite State and the White Noise State},
  author={Masahito Hayashi and Masaki Owari},
  journal={IEEE Transactions on Information Theory},
  year={2010},
  volume={61},
  pages={6995-7011}
}
  • Masahito Hayashi, Masaki Owari
  • Published in
    IEEE Transactions on…
    2010
  • Mathematics, Physics, Computer Science
  • In this paper, we treat a local discrimination problem in the framework of asymmetric hypothesis testing. We choose a known bipartite pure state |ψ) as an alternative hypothesis and the completely mixed state as a null hypothesis. As a result, we analytically derive an optimal type-2 error and an optimal positive operator valued measure (POVM) for one-way local operations and classical communication (LOCC) POVM and separable POVM. For two-way LOCC POVM, we study a family of simple three-step… CONTINUE READING

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