Quantum Bochner theorems and incompatible observables

Title:

Quantum Bochner theorems and incompatible observables

Creator:

Hudson, Robin L.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:f6fdd1b3-ddde-43fd-af86-2ce03e9af8ca
uuid:f6fdd1b3-ddde-43fd-af86-2ce03e9af8ca

Subject:

Bochner´s Theorem, multiplier-nonnegative- definiteness, Wigner quasidensities, and Pauli matrices

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

A quantum version of Bochner's theorem characterising Fourier transforms of probability measures on locally compact Abelian groups gives a characterisation of the Fourier transforms of Wigner quasi-joint distributions of position and momentum. An analogous quantum Bochner theorem characterises quasi-joint distributions of components of spin. In both cases quantum states in which a true distribution exists are characterised by the intersection of two convex sets. This may be described explicitly in the spin case as the intersection of the Bloch sphere with a regular tetrahedron whose edges touch the sphere.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[1061]-1068

Source:

Kybernetika | 2010 Volume:46 | Number:6

Harvested from:

CDK

Metadata only:

false