Quantum Hypothesis Testing for Gaussian States: Quantum Analogues of χ2, t-, and F-Tests

  title={Quantum Hypothesis Testing for Gaussian States: Quantum Analogues of $\chi$2, t-, and F-Tests},
  author={Wataru Kumagai and Masahito Hayashi},
  journal={Communications in Mathematical Physics},
We consider quantum counterparts of testing problems for which the optimal tests are the χ2, t-, and F-tests. These quantum counterparts are formulated as quantum hypothesis testing problems concerning Gaussian state families, and they contain nuisance parameters, which have group symmetry. The quantum Hunt-Stein theorem removes some of these nuisance parameters, but other difficulties remain. In order to remove them, we combine the quantum Hunt-Stein theorem and other reduction methods to… 

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  • H. Yuen
  • Physics
    Proceedings of the IEEE
  • 1978
This online revelation quantum detection and estimation theory can be one of the options to accompany you in imitation of having other time.

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