Classical Extensions, Classical Representations and Bayesian Updating in Quantum Mechanics

Details Classical Extensions, Classical Representations and Bayesian Updating in Quantum Mechanics Classical Extensions, Classical Representations and Bayesian Updating in Quantum Mechanics

2004-03-07

arxiv.org/abs/quant-ph/0403055v1

Physics

Quantum Physics

14 pages, presented at the conference 'Quantum Theory: Reconsideration of Foundations - 2', Vaexjoe, Sweden, June 2003

Scientific paper

I review the formalism of classical extensions of quantum mechanics introduced by Beltrametti and Bugajski, and compare it to the classical representations discussed e.g. by Busch, Hellwig and Stulpe and recently used by Fuchs in his discussion of quantum mechanics in terms of standard quantum measurements. I treat the problem of finding Bayesian analogues of the state transition associated with measurement in the canonical classical extension as well as in the related 'uniform' classical representation. In the classical extension, the analogy is extremely good.

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