Quantum measurement bounds beyond the uncertainty relations
classification
🪐 quant-ph
keywords
estimationobservableprecisiontermsuncertaintybeyondboundbounded
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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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