Quantum Theory from Four of Hardy's Axioms

Foundations of Physics 33 (10):1461-1468 (2003)
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Abstract

In a recent paper [e-print quant-ph/0101012], Hardy has given a derivation of “quantum theory from five reasonable axioms.” Here we show that Hardy's first axiom, which identifies probability with limiting frequency in an ensemble, is not necessary for his derivation. By reformulating Hardy's assumptions, and modifying a part of his proof, in terms of Bayesian probabilities, we show that his work can be easily reconciled with a Bayesian interpretation of quantum probability

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Rüdiger Schack
Royal Holloway University of London

Citations of this work

Subjective probability and quantum certainty.Carlton M. Caves, Christopher A. Fuchs & Rüdiger Schack - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):255-274.

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References found in this work

Studies in subjective probability.Henry Ely Kyburg - 1964 - Huntington, N.Y.: Krieger. Edited by Howard Edward Smokler.
Probability, Statistics and Truth.Richard von Mises & Hilda Geiringer - 1959 - Philosophy of Science 26 (4):387-388.
Bell’s Theorem.Abner Shimony - 2014 - In Edward N. Zalta (ed.), The Stanford Encyclopedia of Philosophy. Stanford, CA: The Metaphysics Research Lab.
Why quantum theory?Lucien Hardy - 2002 - In Tomasz Placek & Jeremy Butterfield (eds.), Non-locality and Modality. Dordrecht and Boston: Kluwer Academic Publishers. pp. 61--73.
Relative Frequencies.Bas C. Van Fraassen - 1977 - Synthese 34 (2):133-166.

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