Bell inequalities and entanglement
Abstract
We discuss general Bell inequalities for bipartite and multipartite systems, emphasizing the connection with convex geometry on the mathematical side, and the communication aspects on the physical side. Known results on families of generalized Bell inequalities are summarized. We investigate maximal violations of Bell inequalities as well as states not violating (certain) Bell inequalities. Finally, we discuss the relation between Bell inequality violations and entanglement properties currently discussed in quantum information theory.
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Inequality (62) is the necessary and sufficient condition for the correlation functions E(A_k, B_l, C_m) involved in it to have a local realistic model.
“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 Werner and Wolf (2001)
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Gühne, O., & Tóth, G. (2009) · Physics Reports · doi:10.1016/j.physrep.2009.02.004 · Cited by 2,401 · see citing works
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 · see citing works
- Authors
- Werner, R., & Wolf, M.
- Venue
- Quantum Information and Computation
- Publisher
- Rinton Press
- Published
- 2001-10
- Volume
- 1
- Issue
- 3
- Pages
- 1-25
- ISSN
- 1533-7146 (ISSN-L)
- OpenAlex
- W2950660935
- Cited by
- 129
- References
- 0
- Citations by year
- 2025: 3 · 2024: 3 · 2023: 4 · 2022: 2 · 2021: 3 · 2020: 2 · 2019: 6 · 2018: 5 · 2017: 2 · 2016: 5 · 2015: 7 · 2014: 11 · 2013: 8 · 2012: 6
- FWCI
- 3.52
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Quantum Information and Computation (publishedVersion)
- 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 › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Keywords
- Bell inequalities, entanglement, multipartite entanglement, bipartite entanglement, generalized Bell inequalities, convex geometry, quantum information
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