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- W3126020438 abstract "We treat quantum counterparts of testing problems whose optimal tests are given by chi-square, t and F tests. These quantum counterparts are formulated as quantum hypothesis testing problems concerning quantum Gaussian states families, and contain disturbance parameters, which have group symmetry. Quantum Hunt-Stein Theorem removes a part of these disturbance parameters, but other types of difficulty still remain. In order to remove them, combining quantum Hunt-Stein theorem and other reduction methods, we establish a general reduction theorem that reduces a complicated quantum hypothesis testing problem to a fundamental quantum hypothesis testing problem. Using these methods, we derive quantum counterparts of chi-square, t and F tests as optimal tests in the respective settings." @default.
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- W3126020438 date "2013-02-05" @default.
- W3126020438 modified "2023-10-18" @default.
- W3126020438 title "Quantum Hypothesis Testing for Gaussian States: Quantum Analogues of χ2, t-, and F-Tests" @default.
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- W3126020438 doi "https://doi.org/10.1007/s00220-013-1678-1" @default.
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