The Reconstruction Problem and Weak Quantum Values

preprint2012arXivOpen access

Abstract

Quantum Mechanical weak values are an interference effect measured by the cross-Wigner transform W(ϕ,ψ) of the post-and preselected states, leading to a complex quasi-distribution ρ_{ϕ,ψ}(x,p) on phase space. We show that the knowledge of ρ_{ϕ,ψ}(z) and of one of the two functions ϕ,ψ unambiguously determines the other, thus generalizing a recent reconstruction result of Lundeen and his collaborators.

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