# Facts, Values and Quanta

@article{Appleby2005FactsVA, title={Facts, Values and Quanta}, author={David Marcus Appleby}, journal={Foundations of Physics}, year={2005}, volume={35}, pages={627-668} }

Quantum mechanics is a fundamentally probabilistic theory (at least so far as the empirical predictions are concerned). It follows that, if one wants to properly understand quantum mechanics, it is essential to clearly understand the meaning of probability statements. The interpretation of probability has excited nearly as much philosophical controversy as the interpretation of quantum mechanics. 20th century physicists have mostly adopted a frequentist conception. In this paper it is argued…

## 30 Citations

Computational Complexity and the Nature of Quantum Mechanics

- Physics, Computer ScienceArXiv
- 2019

It is shown that the computation postulate is the only true divide between QT, seen as a generalised theory of probability, and classical probability.

Bayes + Hilbert = Quantum Mechanics

- Mathematics
- 2016

We consider the problem of gambling on a quantum experiment and enforce rational behaviour by a few rules. These rules yield, in the classical case, the Bayesian theory of probability via duality…

Quantum-Bayesian Coherence

- Physics, Mathematics
- 2009

It is argued that the Born Rule should be seen as an empirical addition to Bayesian reasoning itself, and how to view it as a normative rule in addition to usual Dutch-book coherence is shown.

Computational Complexity and the Nature of Quantum Mechanics (Extended version)

- Computer ScienceArXiv
- 2019

It is shown that the computation postulate is the only true divide between QT, seen as a generalised theory of probability, and classical probability.

Must a Quantum Mechanical Particle Sometimes be in Two Places at Once

- Physics
- 2019

In this short paper, we point out that the interference of probabilities in the double slit experiment, or in a particle interferometer, should not necessarily lead us to think that a quantum…

Subjective probability and quantum certainty

- Computer Science, Physics
- 2006

This paper investigates the concept of certainty in quantum mechanics and gives a version of an argument of Stairs, which applies the Kochen–Specker theorem to an entangled bipartite system.

How Bayesian Probability Might Help Provide a Realist Interpretation of the Quantum Formalism

- Mathematics
- 2019

We offer a realist interpretation of non-relativistic quantum mechanics in which dynamical properties are properly possessed by the system in question, and are supposed to have definite values at any…

Quantum mechanics: The Bayesian theory generalized to the space of Hermitian matrices

- Physics
- 2016

We consider the problem of gambling on a quantum experiment and enforce rational behavior by a few rules. These rules yield, in the classical case, the Bayesian theory of probability via duality…

A Quantum-Bayesian Route to Quantum-State Space

- Mathematics, Physics
- 2011

In the quantum-Bayesian approach to quantum foundations, a quantum state is viewed as an expression of an agent’s personalist Bayesian degrees of belief, or probabilities, concerning the results of…

The Weirdness Theorem and the Origin of Quantum Paradoxes

- Computer ScienceFoundations of Physics
- 2021

The ‘weirdness theorem’ is given that characterises the conditions under which weirdness will show up, and shows that whenever logic has bounds due to the algorithmic nature of its tasks, then weirdness arises in the special form of negative probabilities or non-classical evaluation functionals.

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