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Quantum Averages of Weak Values

Yakir Aharonov·Alonso Botero
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Abstract

We re-examine the status of the weak value of a quantum mechanical observable as an objective physical concept, addressing its physical interpretation and general domain of applicability. We show that the weak value can be regarded as a \emph{definite} mechanical effect on a measuring probe specifically designed to minimize the back-reaction on the measured system. We then present a new framework for general measurement conditions (where the back-reaction on the system may not be negligible) in which the measurement outcomes can still be interpreted as \emph{quantum averages of weak values}. We show that in the classical limit, there is a direct correspondence between quantum averages of weak values and posterior expectation values of classical dynamical properties according to the classical inference framework.

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Yakir Aharonov, Alonso Botero. 2005-08-23. Quantum Averages of Weak Values. https://doi.org/10.1103/physreva.72.052111

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