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arXiv · 1406.0138

Quantum probabilities from combination of Zurek's envariance and Gleason's theorem

A. V. Nenashev
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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.

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A. V. Nenashev. 2014-12-22. Quantum probabilities from combination of Zurek's envariance and Gleason's theorem. https://doi.org/10.1088/0031-8949%2F2014%2Ft163%2F014033

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