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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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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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