Violating Bell inequality by mixed states: necessary and sufficient condition
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Violations of Bell's inequality also occur for a wide range of mixed states.
“This is also the case for a wide range of mixed states (Horodecki, Horodecki and Horodecki, 1995).”
From Multiphoton entanglement and interferometry (2012) · cites this paper as Horodecki, Horodecki and Horodecki, 1995
The experimental method of measuring the R matrix enables complete determination of steering measures, the fully entangled fraction, and Bell nonlocality measures.
“This experimental method of measuring the R matrix enables us a complete determination of not only steering measures, but also a fully entangled fraction (FEF)57 and Bell nonlocality measures58.”
From Experimental hierarchy of two-qubit quantum correlations without state tomography (2023) · cites this paper as [58]
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- Authors
- Horodecki, R., Horodecki, P., & Horodecki, M.
- Affiliations
- University of Gdańsk (PL)
- Corresponding author
- Horodecki, R.
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 1995-05
- Volume
- 200
- Issue
- 5
- Pages
- 340-344
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2026358914
- Cited by
- 884
- References
- 11
- Citations by year
- 2026: 66 · 2025: 69 · 2024: 74 · 2023: 38 · 2022: 52 · 2021: 47 · 2020: 38 · 2019: 40 · 2018: 38 · 2017: 42 · 2016: 41 · 2015: 25 · 2014: 33 · 2013: 21 · 2012: 39
- FWCI
- 5.86
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physics Letters A (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 › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Bell inequality violation, CHSH inequality, mixed states, spin-1/2 systems, local hidden variable theories, Werner states, necessary and sufficient conditions, quantum nonlocality
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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