Quantum Probability from Decision Theory?

Abstract

In a recent paper (quant-ph/9906015), Deutsch claims to derive the "probabilistic predictions of quantum theory" from the "non-probabilistic axioms of quantum theory" and the "non-probabilistic part of classical decision theory." We show that his derivation fails because it includes hidden probabilistic assumptions.

LaTeX, 8 pages, no figures

References in corpus (1)

• Quantum Theory of Probability and Decisions

Cited by in corpus (31)

• Decoherence, einselection, and the quantum origins of the classical
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Quantum probabilities as Bayesian probabilities
• Probabilities from Entanglement, Born's Rule from Envariance
• Dynamical Origin of Quantum Probabilities
• The Born Rule in Quantum and Classical Mechanics
• On Zurek's derivation of the Born rule
• Experimental motivation and empirical consistency in minimal no-collapse quantum mechanics
• Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons
• The measurement postulates of quantum mechanics are operationally redundant
• Discreteness and the origin of probability in quantum mechanics
• An introduction to many worlds in quantum computation
• Many-particle interference to test Born's rule
• Many-Measurements or Many-Worlds? A Dialogue
• Extended statistical modeling under symmetry; the link toward quantum mechanics
• Born Rule and Noncontextual Probability
• Emergence of the Born rule in quantum optics
• Analysis of Wallace's Proof of the Born Rule in Everettian Quantum Mechanics II: Concepts and Axioms
• Born rule: quantum probability as classical probability
• Making sense of Born's rule $p_{\alpha }=\Vert {\Psi }_{\alpha }{\Vert }^2$ with the many-minds interpretation
• Analysis of Wallace's Proof of the Born Rule in Everettian Quantum Mechanics: Formal Aspects
• A Subjective Approach to Quantum Probability
• Consistent theory for causal non-locality beyond Born's rule
• Decision theory and information propagation in quantum physics
• The problem of quantum correlations and the totalitarian principle
• The Born rule
• Derivation of the quantum probability law from minimal non-demolition measurement
• On the Nature of $a_k^{\ast }{a}_k$ and the Emergence of the Born's Rule
• Probability, Preclusion and Biological Evolution in Heisenberg-Picture Everett Quantum Mechanics
• Derive the Born's rule from environment-induced stochastic dynamics of wave-functions in an open system
• Reverse quantum speed limit and minimum Hilbert space norm