# 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.

## 447 Citations

### Against Absolute Actualization: Three "Non-Localities" and Failure of Model-External Randomness made easy with Many-Worlds Models including Stronger Bell-Violation and Correct QM Probability

- Physics
- 2013

Experimental violation of Bell-inequalities proves actualization of many futures (~ many-worlds); I show that this is not mere interpretation. To show this self-contained pedagogically, I resolve the…

### Quantum Theory at the Crossroads: Reconsidering the 1927 Solvay Conference

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### The Argument

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We analyse an argument of Deutsch, which purports to show that the deterministic part of classical quantum theory together with deterministic axioms of classical decision theory, together imply that…

### Everettian Probabilities, The Deutsch-Wallace Theorem and the Principal Principle

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- 2020

This paper is concerned with the nature of probability in physics, and in quantum mechanics in particular. It starts with a brief discussion of the evolution of Itamar Pitowsky’s thinking about…

### Why We Shouldn’t Pity Schrödinger’s Kitty: Revisiting David Lewis’ Worry About Quantum Immortality in a Branching Multiverse

- PhilosophyMetaphysica
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Abstract David Lewis cautions that although a no-collapse interpretation of quantum mechanics entails immortality for trans-world selves, the nature of the branching leaves us crippled, lonely,…

### Self-locating Uncertainty and the Origin of Probability in Everettian Quantum Mechanics

- PhilosophyThe British Journal for the Philosophy of Science
- 2018

It is demonstrated that the Born rule is the uniquely rational way of apportioning credence in Everettian quantum mechanics, based on a single key principle: changes to the environment alone do not affect the probabilities one ought to assign to measurement outcomes in a local subsystem.

### A non-probabilistic substitute for the Born rule

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- 2017

The Born rule assigns a probability to any possible outcome of a quantum measurement, but leaves open the question how these probabilities are to be interpreted and, in particular, how they relate to…

### Probabilities and Shannon's Entropy in the Everett Many-Worlds Theory

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Following a controversial suggestion by David Deutsch that decision theory can solve the problem of probabilities in the Everett many-worlds we suggest that the probabilities are induced by Shannon's…

### Constructor theory of probability

- MathematicsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- 2016

It is proved that the unpredictability of measurement outcomes necessarily arises in superinformation theories, and sufficient conditions are established for a superinformation theory to inform decisions as if it were probabilistic, via a Deutsch–Wallace-type argument.

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