Quantum theory of probability and decisions

  title={Quantum theory of probability and decisions},
  author={David Deutsch},
  journal={Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences},
  pages={3129 - 3137}
  • D. Deutsch
  • Published 4 June 1999
  • Philosophy, Physics
  • Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
The probabilistic predictions of quantum theory are conventionally obtained from a special probabilistic axiom. But that is unnecessary because all the practical consequences of such predictions follow from the remaining non–probabilistic axioms of quantum theory, together with the non–probabilistic part of classical decision theory. 

Quantum probability from decision theory?

In a recent paper, Deutsch claims to derive the ‘probabilistic predictions of quantum theory’ from the ‘non–probabilistic axioms of quantum theory’ and the ‘nonprobabilistic part of classical

Quantum probabilities and the Born rule in the intuitionistic interpretation of quantum mechanics

This paper presents a novel explanation of the cause of quantum probabilities and the Born rule based on the intuitionistic interpretation of quantum mechanics where propositions obey constructive

Quantum Logic and Quantum Theory in a Game-Theoretic Perspective

Extensive games of imperfect information, together with the associated semantic machinery, can be brought to bear on logical aspects of quantum-theoretic phenomena. Among other things, this kinship

A Subjective Approach to Quantum Probability

A likelihood order is defined over linear subspaces of a finite dimensional Hilbert space. It is shown that such an order that satisfies some plausible axioms can be represented by a quantum

Selection Postulates and Probability Rules in the Problem of Quantum Measurement

Various approaches to quantum measurement problem within the framework of usual unitary quantum dynamics are considered. It is argued that neither decoherence theory nor many-worlds interpretation of

Quantum probability and many worlds

A Note on Deutsch's "Quantum Theory of Probability and Decisions"

David Deutsch has a forthcoming article called "Quantum Theory of Probability and Decisions" in which he claims to derive the standard probabilistic interpretation of the wavefunction from

Probability in physics: stochastic, statistical, quantum

I review the role of probability in contemporary physics and the origin of probabilistic time asymmetry, beginning with the pre-quantum case (both stochastic mechanics and classical statistical

Probability in the Everett interpretation

The Everett (many-worlds) interpretation of quantum mechanics faces a prima facie problem concerning quantum probabilities. Research in this area has been fast-paced over the last few years,



Quantum mechanics near closed timelike lines.

  • Deutsch
  • Physics
    Physical review. D, Particles and fields
  • 1991
Several novel and distinctive quantum-mechanical effects occur on and near closed timelike lines, including violations of the correspondence principle and of unitarity, and consideration of these sheds light on the nature of quantum mechanics.

"Relative State" Formulation of Quantum Mechanics

The task of quantizing general relativity raises serious questions about the meaning of the present formulation and interpretation of quantum mechanics when applied to so fundamental a structure as

Decoherence functional and probability interpretation.

  • Ohkuwa
  • Physics
    Physical review. D, Particles and fields
  • 1993
We confirm that the diagonal elements of the Gell-Mann-Hartle decoherence functional are equal to the relative frequencies of the results of many identical experiments, when a set of alternative

Breakdown of Predictability in Gravitational Collapse

The principle of equivalence, which says that gravity couples to the energy-momentum tensor of matter, and the quantum-mechanical requirement that energy should be positive imply that gravity is


Phys. Rev. D

  • Phys. Rev. D
  • 1976

Page for pointing out some

    Trans. N.Y. Acad. Sci

    • Trans. N.Y. Acad. Sci
    • 1963

    In The many-worlds interpretation of quantum mechanics, pp. 183–186

    • 1973

    Rev. Mod. Phys

    • Rev. Mod. Phys
    • 1957