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- W2950855979 abstract "We develop an asymptotic theory of estimation of a shift parameter in a pure quantum state to study the relation between entangled and unentangled covariant estimates in the analytically most transparent way. After recollecting basics of estimation of shift parameter in Sec. 2, we study the structure of the optimal covariant estimate in Sec. 3, showing how entanglement comes into play for several independent trials. In Secs. 4,5 we give the asymptotics of the performance of the optimal covariant estimate comparing it with the ``semiclassical'' unentangled covariant estimation in the regular case of finite variance of the generator of the shift group. Sec. 6 is devoted to covariant estimation in the case where the regularity assumption is violated." @default.
- W2950855979 created "2019-06-27" @default.
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- W2950855979 date "2003-07-30" @default.
- W2950855979 modified "2023-10-14" @default.
- W2950855979 title "Asymptotic estimation of shift parameter of a quantum state" @default.
- W2950855979 doi "https://doi.org/10.48550/arxiv.quant-ph/0307225" @default.
- W2950855979 hasPublicationYear "2003" @default.
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