# Quantum theory of probability and decisions

@article{Deutsch1999QuantumTO, 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}, year={1999}, volume={455}, pages={3129 - 3137} }

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.

## 434 Citations

Quantum probability from decision theory?

- PhilosophyProceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences
- 2000

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

- Philosophy
- 2016

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

- PhilosophyOpen Syst. Inf. Dyn.
- 2002

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…

Quantum Probability from Subjective Likelihood: improving on Deutsch's proof of the probability rule

- Computer Science
- 2003

A Subjective Approach to Quantum Probability

- Mathematics
- 2005

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

- Philosophy
- 2008

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…

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

- Philosophy
- 1999

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

- Physics
- 2013

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

- Mathematics
- 2007

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,…

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