What is the value of an observable between pre- and postselection?

2003/08/31 by Lars M. Johansen · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1016/j.physleta.2004.01.041

published as Phys. Lett. A 322 (2004) 298-300 · 5 pages, accepted in Phys. Lett. A

arxiv created 2004/02/07 · arxiv updated 2009/12/01

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.

Cited by

• Hall's exact variance decomposition in Bohmian Mechanics