On the relation between quantum theory and probability

TL;DR

This paper explores the complex relationship between probability theory and quantum mechanics, highlighting that no single interpretation of probability uniquely resolves quantum conceptual issues.

Contribution

It provides a historical and analytical overview showing multiple interpretations of probability and quantum theory are compatible, without a single definitive solution.

Findings

No unique interpretation of probability resolves quantum conceptual problems

Different interpretations of probability and quantum theory can align well

Historical analysis reveals diverse perspectives on their relation

Abstract

The theory of probability and the quantum theory, the one mathematical and the other physical, are related in that each admits a number of very different interpretations. It has been proposed that the conceptual problems of the quantum theory could be, if not resolved, at least mitigated by a proper interpretation of probability. We rather show, through a historical and analytical overview of probability and quantum theory, that if some interpretations of the one and the other go along particularly well, none follows in a unique way.