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• W2022146410 abstract "The Wigner-Araki-Yanase theorem puts a limitation on the measurement of observables in the presence of a conserved quantity, and the notion of Wigner-Yanase skew information quantifies the amount of information on the values of observables not commuting with the conserved quantity. We demonstrate that the statistical idea underlying the skew information is the Fisher information in the theory of statistical estimation. A quantum Cram'er-Rao inequality and a new uncertainty relation in terms of the skew information are established, which shed considerable new light on the relationships between quantum measurement and statistical inference. The result is applied to estimating the evolution speed of quantum states." @default.
• W2022146410 created "2016-06-24" @default.
• W2022146410 creator A5073878862 @default.
• W2022146410 date "2003-10-29" @default.
• W2022146410 modified "2023-10-17" @default.
• W2022146410 title "Wigner-Yanase Skew Information and Uncertainty Relations" @default.
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• W2022146410 doi "https://doi.org/10.1103/physrevlett.91.180403" @default.
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