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- W2108590725 abstract "In a unified viewpoint in quantum channel estimation, we compare the Cramér-Rao and the mini-max approaches, which gives the Bayesian bound in the group covariant model. For this purpose, we introduce the local asymptotic mini-max bound, whose maximum is shown to be equal to the asymptotic limit of the mini-max bound. It is shown that the local asymptotic mini-max bound is strictly larger than the Cramér-Rao bound in the phase estimation case while both bounds coincide when the minimum mean square error decreases with the order $${O(frac{1}{n})}$$ . We also derive a sufficient condition so that the minimum mean square error decreases with the order $${O(frac{1}{n})}$$ ." @default.
- W2108590725 created "2016-06-24" @default.
- W2108590725 creator A5024634142 @default.
- W2108590725 date "2011-04-20" @default.
- W2108590725 modified "2023-10-09" @default.
- W2108590725 title "Comparison Between the Cramer-Rao and the Mini-max Approaches in Quantum Channel Estimation" @default.
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- W2108590725 doi "https://doi.org/10.1007/s00220-011-1239-4" @default.
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