Quantum probabilities from combination of Zurekʼs envariance and Gleasonʼs theorem
A. V. Nenashev
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.
arXiv:1406.0138•Physica Scripta•Dec 1, 2014•3 citations