What is the value of an observable between pre- and postselection?
Quantum Physics
2009-11-10 v2
Abstract
Hall's recent derivation of an exact uncertainty relation [Phys. Rev. A64, 052103 (2001)] is revisited. It is found that the Bayes estimator of an observable between pre- and postselection equals the real part of the weak value. The quadratic loss function equals the expectation of the squared imaginary part of the weak value.
Cite
@article{arxiv.quant-ph/0308137,
title = {What is the value of an observable between pre- and postselection?},
author = {Lars M. Johansen},
journal= {arXiv preprint arXiv:quant-ph/0308137},
year = {2009}
}
Comments
5 pages, accepted in Phys. Lett. A