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WEAK VALUE WITH DECOHERENCE

Akio Hosoya

Published Jul 16, 2012• 0 citations
Publisher
DOI
10.1142/9789814407199_0002

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CLASSICAL ANALOGUE OF WEAK VALUE IN STOCHASTIC PROCESS

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One of the remarkable notions in the recent development of quantum physics is the weak value related to weak measurements.We emulate it as a two-time conditional expectation in a classical stochastic model.We use the well known symmetrized form of the master equation, which is formally equivalent to the wave equation in quantum mechanics apart from the fact that wave functions are always real.The origin of the unusual behaviors of the weak value such as the negative probability and the abnormal enhancement of some expectations becomes clearer in the present case, where the two-time conditional probability has no ambiguity of imaginary/complex values.

•Aug 17, 2016•0 citations

CLASSICAL ANALOGUE OF WEAK VALUE IN STOCHASTIC PROCESS

H. TOMITA

One of the remarkable notions in the recent development of quantum physics is the weak value related to weak measurements. We emulate it as a two-time conditional expectation in a classical stochastic model. We use the well known symmetrized form of the master equation, which is formally equivalent to the wave equation in quantum mechanics apart from the fact that wave functions are always real. The origin of the unusual behaviors of the weak value such as the negative probability and the abnormal enhancement of some expectations becomes clearer in the present case, where the two-time conditional probability has no ambiguity of imaginary/complex values.

arXiv:1201.1329•Sep 27, 2012•0 citations
One of the remarkable notions in the recent development of quantum physics is the weak value related to weak measurements.We emulate it as a two-time conditional expectation in a classical stochastic model.We use the well known symmetrized form of the master equation, which is formally equivalent to the wave equation in quantum mechanics apart from the fact that wave functions are always real.The origin of the unusual behaviors of the weak value such as the negative probability and the abnormal enhancement of some expectations becomes clearer in the present case, where the two-time conditional probability has no ambiguity of imaginary/complex values.
One of the remarkable notions in the recent development of quantum physics is the weak value related to weak measurements. We emulate it as a two-time conditional expectation in a classical stochastic model. We use the well known symmetrized form of the master equation, which is formally equivalent to the wave equation in quantum mechanics apart from the fact that wave functions are always real. The origin of the unusual behaviors of the weak value such as the negative probability and the abnormal enhancement of some expectations becomes clearer in the present case, where the two-time conditional probability has no ambiguity of imaginary/complex values.