Weak values under uncertain conditions

Romito, Alessandro and Gefen, Yuval (2010) Weak values under uncertain conditions. Physica E: Low-dimensional Systems and Nanostructures, 42 (3). pp. 343-347. ISSN 1386-9477

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Abstract

We analyze the average of weak values over statistical ensembles of pre- and post-selected states. The protocol of weak values, proposed by Aharonov et al. [Phys. Rev. Lett. 60 (1988) 1351], is the result of a weak measurement conditional on the outcome of a subsequent strong (projective) measurement. Weak values can be beyond the range of eigenvalues of the measured observable and, in general, can be complex numbers. We show that averaging over ensembles of pre- and post-selected states reduces the weak value within the range of eigenvalues of over(A, ^). We further show that the averaged result expressed in terms of pre- and post-selected density matrices, allows us to include the effect of decoherence.

Item Type:
Journal Article
Journal or Publication Title:
Physica E: Low-dimensional Systems and Nanostructures
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/3100/3104
Subjects:
ID Code:
139252
Deposited By:
Deposited On:
02 Dec 2019 16:25
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 12:21