arXiv:1406.0138 · Physica Scripta

Quantum probabilities from combination of Zurekʼs envariance and Gleasonʼs theorem

A. V. Nenashev

Published Dec 1, 2014• 3 citations

Abstract

The quantum-mechanical rule for probabilities, in its most general form of positive-operator valued measure (POVM), is shown to be a consequence of the environment-assisted invariance (envariance) idea suggested by Zurek [Phys. Rev. Lett. 90, 120404 (2003)], being completed by Gleason's theorem. This provides also a method for derivation of the Born rule.

DOI: 10.1088/0031-8949/2014/t163/014033

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