The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Bell’s Theorem for General N-Qubit States
Open accessAbstract
We derive a single general Bell inequality which is a sufficient and necessary condition for the correlation function for N particles to be describable in a local and realistic picture, for the case in which measurements on each particle can be chosen between two arbitrary dichotomic observables. We also derive a necessary and sufficient condition for an arbitrary N-qubit mixed state to violate this inequality. This condition is a generalization and reformulation of the Horodecki family condition for two qubits.
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“which is the necessary and sufficient condition for correlation functions involved in it, E(A k , B l , C m ), to have a local realistic model [for proofs see Werner and Wolf (2001), Żukowski and Brukner (2002)].”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Żukowski and Brukner (2002)
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Cites
On the Einstein Podolsky Rosen paradox
Bell, J. S. (1964) · Physics Physique Fizika · doi:10.1103/physicsphysiquefizika.1.195 · Cited by 12,252
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
Separability Criterion for Density Matrices
Peres, A. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.1413 · Cited by 5,191
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
Bell Inequalities for Arbitrarily High-Dimensional Systems
Collins, D., Gisin, N., Linden, N., Massar, S., & Popescu, S. (2002) · Physical Review Letters · doi:10.1103/physrevlett.88.040404 · Cited by 999
Violating Bell inequality by mixed states: necessary and sufficient condition
Horodecki, R., Horodecki, P., & Horodecki, M. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00214-n · Cited by 884
Bell's inequality holds for all non-product states
Gisin, N. (1991) · Physics Letters A · doi:10.1016/0375-9601(91)90805-i · Cited by 781
Violations of Local Realism by Two EntangledN-Dimensional Systems Are Stronger than for Two Qubits
Kaszlikowski, D., Gnaciński, P., Żukowski, M., Miklaszewski, W., & Zeilinger, A. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.4418 · Cited by 507
Self-citationAll-multipartite Bell-correlation inequalities for two dichotomic observables per site
Werner, R. F., & Wolf, M. M. (2001) · Physical Review A · doi:10.1103/physreva.64.032112 · Cited by 502
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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
“Here we only give its basic mathematical devices for completeness; for detailed treatment, we refer to standard textbooks on quantum optics, e.g., Walls and Milburn (1994), Mandel and Wolf (1995), Scully and Zubairy (1997).”
BackgroundInfluentialSelf-citationNonlocality and communication complexity
Buhrman, H., Cleve, R., Massar, S., & de Wolf, R. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.665 · Cited by 656
Metadata
- Authors
- Żukowski, M., & Brukner, Č.
- Affiliations
- University of Gdańsk (PL)
- University of Vienna (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-05-09
- Volume
- 88
- Issue
- 21
- Pages
- 210401-210401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2005287051
- Cited by
- 422
- References
- 24
- Citations by year
- 2026: 8 · 2025: 14 · 2024: 19 · 2023: 21 · 2022: 17 · 2021: 13 · 2020: 13 · 2019: 15 · 2018: 16 · 2017: 15 · 2016: 25 · 2015: 28 · 2014: 17 · 2013: 10 · 2012: 24
- FWCI
- 10.92
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (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 › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Bell's theorem, Bell inequalities, n-qubit states, local realism, quantum nonlocality, correlation functions, dichotomic observables, mixed states, entanglement
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