Busch, Paul (2003) Quantum States and Generalized Observables: A Simple Proof of Gleason's Theorem. Physical Review Letters, 91 (12/120). pp. 1-4. ISSN 1079-7114
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 quantum state is given by a density operator. As a corollary we obtain a von Neumann–type argument against noncontextual hidden variables. It follows that on an individual interpretation of quantum mechanics the values of effects are appropriately understood as propensities.
|Institution:||The University of York|
|Academic Units:||The University of York > Mathematics (York)|
|Depositing User:||York RAE Import|
|Date Deposited:||23 Feb 2009 15:31|
|Last Modified:||27 Apr 2010 09:36|
|Publisher:||The American Physical Society.|