Quantum measurement bounds beyond the uncertainty relations

Details Quantum measurement bounds beyond the uncertainty relations Quantum measurement bounds beyond the uncertainty relations

2011-09-26

arxiv.org/abs/1109.5661v1

Physics

Quantum Physics

6 pages, 3 figures

Scientific paper

We give a bound to the precision in the estimation of a parameter in terms of
the expectation value of an observable. It is an extension of the Cramer-Rao
inequality and of the Heisenberg uncertainty relation, where the estimation
precision is typically bounded in terms of the variance of an observable.

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