Quantum Averages of Weak Values

dc.creatorAharonov, Yakir
dc.creatorBotero, Alonso
dc.date2005-03-30
dc.date2005-08-23
dc.date.accessioned2026-07-07T06:23:20Z
dc.date.available2026-07-07T06:23:20Z
dc.descriptionWe 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.
dc.description13 pages, 6 figures, Revtex 4. Paper has been shortened. Section on large- sample measurements has been removed. The discussion on this topic has been deferred to a future publication
dc.identifierhttps://arxiv.org/abs/quant-ph/0503225
dc.identifierhttp://arxiv.org/abs/quant-ph/0503225
dc.identifierPhys. Rev. A 72, 052111 (2005)
dc.identifierdoi:10.1103/PhysRevA.72.052111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96196
dc.subjectQuantum Physics
dc.titleQuantum Averages of Weak Values
dc.typetext

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