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Extreme quantum entanglement in a superposition of macroscopically distinct states
Abstract
A Bell inequality is derived for a state of n spin-1/2 particles which superposes two macroscopically distinct states. Quantum mechanics violates this inequality by an amount that grows exponentially with n.
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“While Bell’s inequality violation is established between pairs of quantum states through their density matrices (of size 2² × 2²)—which, in our case, are qubits—Mermin’s inequality applies to multi-particle interactions beyond isolated state pairs.”
From Mathematical proof of the Fisher-Escolà Q statistical distribution in quantum consciousness modeling (2025) · cites this paper as [46]
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Self-citation
Research works printed but not linked: 2
- Bell, 1965, Physics (N.Y.), 1, 195
- Bohm, 1951, Quantum Theory
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Thenabadu, M., Cheng, G.-L., Pham, T., Drummond, L. V., Rosales-Zárate, L., & Reid, M. D. (2020) · Physical Review A · doi:10.1103/physreva.102.022202 · Cited by 14
Metadata
- Authors
- Mermin, N. D.
- Affiliations
- Cornell University (US)
- Corresponding author
- Mermin, N. David
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1990-10
- Volume
- 65
- Issue
- 15
- Pages
- 1838-1840
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W2094119863
- Cited by
- 1,482
- References
- 3
- Citations by year
- 2026: 44 · 2025: 66 · 2024: 66 · 2023: 80 · 2022: 65 · 2021: 59 · 2020: 45 · 2019: 107 · 2018: 56 · 2017: 47 · 2016: 66 · 2015: 55 · 2014: 46 · 2013: 66 · 2012: 62
- FWCI
- 5.96
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- 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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- Bell inequalities, quantum entanglement, macroscopic superposition, spin-1/2 particles, quantum violation
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