Quantum States and Generalized Observables: A Simple Proof of Gleason’s Theorem
Quantum States and Generalized Observables: A Simple Proof of Gleason’s Theorem
A quantum state can be understood in a loose sense as a map that assigns a value to every observable. Formalizing this characterization of states in terms of generalized probability distributions on the set of effects, we obtain a simple proof of the result, analogous to Gleason's theorem, that any …