Derivation of the Born Rule from Operational Assumptions

Details Derivation of the Born Rule from Operational Assumptions Derivation of the Born Rule from Operational Assumptions

2002-11-21

arxiv.org/abs/quant-ph/0211138v2

Proceedings of the Royal Society A, 460, 1-18 (2004)

Physics

Quantum Physics

18p

Scientific paper

The Born rule is derived from operational assumptions, independent of the normalization of the state. Unlike Gleason's theorem, the argument applies even if probabilities are defined for only a single resolution of the identity, so it applies to all the major foundational approaches to quantum mechanics. There are important points of contact with Deutsch's program for deducing the probabilistic interpretation of quantum mechanics from decision thoery, as recently completed by Wallace. Decision theory can be used to supplement the present derivation, in application to the Everett interpretation, but it is otherwise unnecessary.

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