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Derivation of the Born rule from operational assumptions

2004/04/05 by Simon Saunders · 3 citations
Physics and Astronomy · Arts and Humanities · #Quantum Mechanics and Applications #Philosophy and History of Science #Advanced Thermodynamics and Statistical Mechanics

paper · doi:10.1098/rspa.2003.1230

openalex publication_date 2004/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/21

Abstract

The Born rule is derived from operational assumptions, together with assumptions of quantum mechanics that concern only the deterministic development 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 a variety of foundational approaches to quantum mechanics. It also provides a probability rule for state spaces that are not Hilbert spaces.

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