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.

Quantum measurement bounds beyond the uncertainty relations

GIOVANNETTI, VITTORIO;
2012

Abstract

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.
Quantum Information; Quantum Estimation Theory
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11384/3318
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