Collapse of the state vector
Open accessAbstract
Modifications of quantum mechanics are considered, in which the state vector of any system, large or small, undergoes a stochastic evolution. The general class of theories is described, in which the probability distribution of the state vector collapses to a sum of $\ensuremath{\delta}$ functions, one for each possible final state, with coefficients given by the Born rule.
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Assumption (Q) is manifestly violated by theories that postulate a modification of standard quantum mechanics, such as spontaneous and gravity-induced collapse models.
“Assumption (Q) is manifestly violated by theories that postulate a modification of standard quantum mechanics, such as spontaneous16–20 and gravity-induced21–23 collapse models (cf. 24 for a review).”
From Quantum theory cannot consistently describe the use of itself (2018) · cites this paper as [20]
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- Authors
- Weinberg, S.
- Affiliations
- The University of Texas at Austin (US)
- Corresponding author
- Weinberg, Steven
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2012-06-20
- Volume
- 85
- Issue
- 6
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2171847285
- Cited by
- 102
- References
- 22
- Citations by year
- 2025: 2 · 2024: 6 · 2023: 5 · 2022: 7 · 2021: 6 · 2020: 4 · 2019: 3 · 2018: 7 · 2017: 9 · 2016: 10 · 2015: 9 · 2014: 17 · 2013: 10 · 2012: 7
- FWCI
- 7.12
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Keywords
- wave function collapse, stochastic quantum mechanics, Born rule, large-scale quantum systems, measurement problem
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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