Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Jerusalem studies in philosophy and history of science

Derivations of the Born Rule

Lev Vaidman A

Published Jan 1, 2020• 25 citations
Publisher
DOI
10.1007/978-3-030-34316-3_26

Related papers

On Zurek?s Derivation of the Born Rule

Maximilian Schlosshauer, Arthur Fine

arXiv:quant-ph/0312058•Foundations of Physics•Feb 1, 2005•72 citations

A derivation of Born’s rule from symmetry

Sabine Hossenfelder

Annals of Physics•Dec 29, 2020•5 citations

Deriving Born’s Rule from an Inference to the Best Explanation

Alexia Auffèves, Philippe Grangier

arXiv:1910.13738•Foundations of Physics•Feb 3, 2020•20 citations

First-Principle Derivation of the Born Rule Without Collapse or Observers

Zhen Su

The Born rule stands as the fundamental probability postulate of quantum mechanics, yet its first-principle derivation remains a longstanding open problem. This paper presents a rigorous, collapse-free, and observer-independent derivation of the Born rule. Starting from four physically natural and minimal axioms—unitary dynamics, uniqueness of classical records, unitary invariance, and consistency with the classical limit and ergodicity—we uniquely deduce the Born rule from first principles. We prove that the Born rule is not an independent postulate, but a necessary mathematical consequence of the core axiomatic structure. Our approach is self-contained, assumption-free, and purely unitary, establishing that the Born rule is canonically determined by the fundamental mathematical and physical principles of quantum mechanics.

•May 7, 2026•0 citations

Born Rule and its Interpretation

Nicolaas P. Landsman

Compendium of Quantum Physics•Jan 1, 2009•7 citations

Decision theory and information propagation in quantum physics

Forrester, A

In recent papers on 'envariance', Zurek has objected to the decision-theoretic approach of Deutsch and Wallace to deriving the Born rule, on the grounds that it courts circularity. Zurek then derives the Born rule in the Schrodinger Picture using properties of the global Schrodinger state. In this paper a decision-theoretic approach to probability is used in the Heisenberg Picture to derive the Born rule. This derivation uses 'quantum Darwinism' - the notion that classical information is quantum information that can proliferate in the environement - following Ollivier et al. This derivation shows that envariance is not needed to derive the Born Rule and fixes the problem with the decision-theoretic approach that was pointed out by Zurek.

•Apr 18, 2006•6 citations
The Born rule stands as the fundamental probability postulate of quantum mechanics, yet its first-principle derivation remains a longstanding open problem. This paper presents a rigorous, collapse-free, and observer-independent derivation of the Born rule. Starting from four physically natural and minimal axioms—unitary dynamics, uniqueness of classical records, unitary invariance, and consistency with the classical limit and ergodicity—we uniquely deduce the Born rule from first principles. We prove that the Born rule is not an independent postulate, but a necessary mathematical consequence of the core axiomatic structure. Our approach is self-contained, assumption-free, and purely unitary, establishing that the Born rule is canonically determined by the fundamental mathematical and physical principles of quantum mechanics.
In recent papers on 'envariance', Zurek has objected to the decision-theoretic approach of Deutsch and Wallace to deriving the Born rule, on the grounds that it courts circularity. Zurek then derives the Born rule in the Schrodinger Picture using properties of the global Schrodinger state. In this paper a decision-theoretic approach to probability is used in the Heisenberg Picture to derive the Born rule. This derivation uses 'quantum Darwinism' - the notion that classical information is quantum information that can proliferate in the environement - following Ollivier et al. This derivation shows that envariance is not needed to derive the Born Rule and fixes the problem with the decision-theoretic approach that was pointed out by Zurek.