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

arXiv:2103.09910

On Two Recent Approaches to the Born Rule

Blake C. Stacey

Published Mar 17, 2021• 1 citation
arXivHTMLPDF

Abstract

I comment briefly on derivations of the Born rule presented by Masanes et al. and by Hossenfelder.
DOI
10.48550/arxiv.2103.09910

Related papers

Comments on Gamboa‐Eastman's “Nonlocality and the Quantum Born Rules”

Damian Canals‐Frau

Physics Essays•Jun 1, 1996•0 citations

A very simple derivation of Born’s rule from symmetry

Stefano Gogioso

We provide a simple derivation of the Born rule for transition probabilities in quantum theory from the requirement of invariance under unitary symmetry and basic probabilistic constraints, improving upon work recently published in this Journal (Hossenfelder, 2021). While this is merely a special case of a classical result by Gleason (Gleason, 1957), it is nevertheless instructive to see how the constraints imposed by unitary symmetry lead to a much simpler derivation.

Annals of Physics•Apr 11, 2023•1 citation

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

Comment on "Gleason-Type Theorem for Projective Measurements, Including Qubits" by F. De Zela

Michael J. W. Hall

It has recently been claimed by De Zela that Gleason's theorem, for probability measures on the lattice of projection operators, can be extended to qubits by adding assumptions related to continuity and the existence of 'eigenstates'. This amounts to a claim of the derivation of Born's rule for Hermitian qubit observables. I point out a simple counterexample, and the flaw in De Zela's derivation (these are equally applicable to the repetition of the derivation given in a recent Reply). I also briefly discuss a valid extension to qubits given by Busch.

arXiv:1611.00613•Nov 2, 2016•3 citations

Beyond the Born Approximation

Advanced textbooks in physics•Aug 4, 2017•0 citations
It has recently been claimed by De Zela that Gleason's theorem, for probability measures on the lattice of projection operators, can be extended to qubits by adding assumptions related to continuity and the existence of 'eigenstates'. This amounts to a claim of the derivation of Born's rule for Hermitian qubit observables. I point out a simple counterexample, and the flaw in De Zela's derivation (these are equally applicable to the repetition of the derivation given in a recent Reply). I also briefly discuss a valid extension to qubits given by Busch.