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Cited by 321Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

The DOI matches its Crossref record; 158 of the 158 references it cites were found in a registry or an index.

Quantum-Bayesian coherence

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Fuchs, Christopher A., Schack, Rüdiger·2013·Reviews of Modern Physics
DOI 10.1103/revmodphys.85.1693
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Abstract

In the quantum-Bayesian interpretation of quantum theory (or QBism), the Born rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, the argument is given that it should be seen as an empirical addition to Bayesian reasoning itself. Particularly, it is shown how to view the Born rule as a normative rule in addition to usual Dutch-book coherence. It is a rule that takes into account how one should assign probabilities to the consequences of various intended measurements on a physical system, but explicitly in terms of prior probabilities for and conditional probabilities consequent upon the imagined outcomes of a special counterfactual reference measurement. This interpretation is exemplified by representing quantum states in terms of probabilities for the outcomes of a fixed, fiducial symmetric informationally complete measurement. The extent to which the general form of the new normative rule implies the full state-space structure of quantum mechanics is explored.

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Research works printed but not linked: 19

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Metadata

Authors
Fuchs, C. A., & Schack, R.
Affiliations
Perimeter Institute (CA)
ORCID
Fuchs, Christopher A.
Venue
Reviews of Modern Physics
Publisher
American Physical Society (APS)
Published
2013-12-27
Volume
85
Issue
4
Pages
1693-1715
ISSN
  • 0034-6861 (ISSN-L)
  • 1539-0756
DOI
10.1103/revmodphys.85.1693
OpenAlex
W2600106234
Cited by
321
References
158
Citations by year
2026: 12 · 2025: 24 · 2024: 11 · 2023: 51 · 2022: 19 · 2021: 25 · 2020: 35 · 2019: 25 · 2018: 21 · 2017: 22 · 2016: 25 · 2015: 16 · 2014: 25 · 2013: 3
FWCI
11.84
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Reviews of Modern Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
Keywords
QBism, Born rule, Dutch book argument, coherence, normative rules, Bayesian probability, symmetric informationally complete measurements, quantum state space, measurement outcomes

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