The Reconstruction Problem and Weak Quantum Values
Mathematical Physics
2015-06-03 v2 math.MP
Quantum Physics
Abstract
Quantum Mechanical weak values are an interference effect measured by the cross-Wigner transform W({\phi},{\psi}) of the post-and preselected states, leading to a complex quasi-distribution {\rho}_{{\phi},{\psi}}(x,p) on phase space. We show that the knowledge of {\rho}_{{\phi},{\psi}}(z) and of one of the two functions {\phi},{\psi} unambiguously determines the other, thus generalizing a recent reconstruction result of Lundeen and his collaborators.
Keywords
Cite
@article{arxiv.1112.5773,
title = {The Reconstruction Problem and Weak Quantum Values},
author = {Maurice de Gosson and Serge de Gosson},
journal= {arXiv preprint arXiv:1112.5773},
year = {2015}
}
Comments
To appear in J.Phys.: Math. Theor