Derivation of the rule for probabilities in a general quantum mechanical measurement

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 [1], being completed by Gleason's theorem. This provides also a method for derivation of the Born rule. Report is based on the paper [2].

References

1. W. H. Zurek, Environment-Assisted Invariance, Entanglement, and Probabilities in Quantum Physics. Phys. Rev. Lett. 90, 120404 (2003)  
2. A. V. Nenashev, Quantum probabilities from combination of Zurek’s envariance and Gleason’s theorem. Physica Scripta T163, 014033 (2014); also at arXiv:1406.0138