Local Deterministic Model of Singlet State Correlations Based on Relaxing Measurement Independence
Open accessAbstract
The derivation of Bell inequalities requires an assumption of measurement independence, related to the amount of free will experimenters have in choosing measurement settings. Violation of these inequalities by singlet state correlations brings this assumption into question. A simple measure of the degree of measurement independence is defined for correlation models, and it is shown that all spin correlations of a singlet state can be modeled via giving up just 14% of measurement independence. The underlying model is deterministic and no signaling. It may thus be favorably compared with other underlying models of the singlet state, which require maximum indeterminism or maximum signaling. A local deterministic model is also given that achieves the maximum possible violation of the well-known Bell-Clauser-Horne-Shimony-Holt inequality, at a cost of only 1/3 of measurement independence.
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Pseudo-random number generator output sequences are usually perfectly balanced between 0 and 1s, but a strong long-range correlation exists, which can undermine cryptographic security, cause unexpected errors in scientific simulations or open loopholes in fundamental physics tests.
“Although the output sequences are usually perfectly balanced between 0 and 1 s, a strong long-range correlation exists, which can undermine cryptographic security, cause unexpected errors in scienti fi c simulations or open loopholes in fundamental physics tests. 5 -7”
From Quantum random number generation (2016) · cites this paper as [6]
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References 8 · Cited by 239
Research works printed but not linked: 11
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- Authors
- Hall, M. J. W.
- Affiliations
- Australian National University (AU)
- Corresponding author
- Hall, Michael J. W.
- ORCID
- Hall, Michael J. W.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-12-16
- Volume
- 105
- Issue
- 25
- Pages
- 250404-250404
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2083042566
- Cited by
- 239
- References
- 8
- Citations by year
- 2026: 6 · 2025: 7 · 2024: 12 · 2023: 10 · 2022: 9 · 2021: 17 · 2020: 18 · 2019: 36 · 2018: 13 · 2017: 13 · 2016: 17 · 2015: 10 · 2014: 14 · 2013: 21 · 2012: 33
- FWCI
- 9.59
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- ANU Open Research (Australian National University) (submittedVersion)
- Griffith Research Online (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- measurement independence, Bell inequalities, no-signaling, CHSH inequality, spin correlations, free will, quantum foundations, hidden variable models
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