Quantum theory from four of Hardy's axioms

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.

5 pages

References in corpus (2)

• Quantum Mechanics as Quantum Information (and only a little more)
• Conditions for compatibility of quantum state assignments

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• Quantum Mechanics from Focusing and Symmetry
• The Significance of Information in Quantum Theory
• Some Negative Remarks on Operational Approaches to Quantum Theory
• Revisiting Dirac and Schrödinger: A Proof Offered for the Non-Relativistic Time-Dependent Schrödinger Equation
• Quantum Mechanics Unscrambled