Pre- and post-selected ensembles and time-symmetry in quantum mechanics

Details Pre- and post-selected ensembles and time-symmetry in quantum mechanics Pre- and post-selected ensembles and time-symmetry in quantum mechanics

2007-02-26

arxiv.org/abs/quant-ph/0702231v1

Physics

Quantum Physics

RevTex4, 17 pages, no figs

Scientific paper

10.1007/s10773-008-9876-x

An expression is proposed for the quantum mechanical state of a pre- and post-selected ensemble, which is an ensemble determined by the final as well as the initial state of the quantum systems involved. It is shown that the probabilities calculated from the proposed state agree with previous expressions, for cases where they both apply. The same probabilities are found when they are calculated in the forward- or reverse-time directions. This work was prompted by several problems raised by Shimony recently in relation to the state, and time symmetry, of pre- and post-selected ensembles.

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