The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Bell inequalities with a magnitude of violation that grows exponentially with the number of particles
Abstract
A simple Bell inequality for an n-particle system in a Greenberger-Horne-Zeilinger state is derived. Quantum mechanics violates this inequality by an exponentially large factor of ${2}^{(\mathit{n}\mathrm{\ensuremath{-}}2)/2}$ for n odd or ${2}^{(\mathit{n}\mathrm{\ensuremath{-}}1)/2}$ for n even.
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Citations
Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
Proposed Experiment to Test Local Hidden-Variable Theories
Clauser, J. F., Horne, M. A., Shimony, A., & Holt, R. A. (1969) · Physical Review Letters · doi:10.1103/physrevlett.23.880 · Cited by 7,573
Bell’s theorem without inequalities
Greenberger, D. M., Horne, M. A., Shimony, A., & Zeilinger, A. (1990) · American Journal of Physics · doi:10.1119/1.16243 · Cited by 2,404
Extreme quantum entanglement in a superposition of macroscopically distinct states
Mermin, N. D. (1990) · Physical Review Letters · doi:10.1103/physrevlett.65.1838 · Cited by 1,482
Research works printed but not linked: 8
- J. S. Bell, 1965, Physics (N.Y.), 1, 195
- N. D. Mermin, 1980, Phys. Rev. D, 22, 356, 10.1103/PhysRevD.22.356 · DOI · Paper page
- M. Ardehali, 1991, Phys. Rev. D, 44, 3336, 10.1103/PhysRevD.44.3336 · DOI
- F. Selleri, 1980, Found. Phys., 10, 209, 10.1007/BF00715068 · DOI
- S. L. Braunstein, 1988, Phys. Rev. Lett., 61, 662, 10.1103/PhysRevLett.61.662 · DOI · Paper page
- D. M. Greenberger, 1989, Bell's Theorem, Quantum Theory and Conception of the Universe
- N. D. Mermin, 1990, Am. J. Phys., 58, 731, 10.1119/1.16503 · DOI · Paper page
- N. D. Mermin, 1990, Phys. Today, 43
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Brunner, N., Cavalcanti, D., Pironio, S., Scarani, V., & Wehner, S. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.419 · Cited by 2,688
Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401
Multiphoton entanglement and interferometry
Pan, J.-W., Chen, Z.-B., Lu, C.-Y., Weinfurter, H., Zeilinger, A., & Żukowski, M. (2012) · Reviews of Modern Physics · doi:10.1103/revmodphys.84.777 · Cited by 1,410
“(87) 33 For this GHZ experiment, the optimal two-setting-perobserver Bell inequality is the one by Ardehali (1992).”
MethodExperimental criteria for steering and the Einstein-Podolsky-Rosen paradox
Cavalcanti, E. G., Jones, S. J., Wiseman, H. M., & Reid, M. D. (2009) · Physical Review A · doi:10.1103/physreva.80.032112 · Cited by 608
Metadata
- Authors
- Ardehali, M.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 1992-11-01
- Volume
- 46
- Issue
- 9
- Pages
- 5375-5378
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1969705790
- Cited by
- 397
- References
- 4
- FWCI
- 1.38
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
