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- W1430715579 abstract "In any measurement of a parameter, effect of finite resource is manifested in a finite number ($M$) of probable values for the estimate. Here it is shown that this count of the discrete number of measurement outcomes leads to a pair of equivalent bounds:$delta geq 1/M$ on precision($delta$) and $I leq log(M)$ on textit{mutual information} ($I$) between the parameter and its estimate. Furthermore, the probe particle symmetry is found to play a significant role in limiting $M$ and thereby, in limiting extractable information in a measurement. In particular, for $N$ indistinguishable spin-half probe particles, it is shown that $M$ is tightly bounded to $O(N^2)$. The corresponding operator that saturates this bound represents a non interferometric measurement. While inherently Heisenberg limited, this measurement is precise up to $delta sim 1/N^2$. These results can be used to benchmark any precision measurement thereby establishing a particular link between information theory and metrology." @default.
- W1430715579 created "2016-06-24" @default.
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- W1430715579 date "2014-11-19" @default.
- W1430715579 modified "2023-09-27" @default.
- W1430715579 title "Optimal information extractable in a measurement" @default.
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