Violation of Bell inequality and entanglement of decaying Werner states
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For an arbitrary two-qubit pure state, the Bell nonlocality measure B is equal to the negativity and concurrence, and also to the steering measure S and the fully entangled fraction.
“On the other hand, B is equal to the negativity and concurrence37,66, but also to the steering measure S and the FEF:24for an arbitrary two-qubit pure state , where a, b, c, d are the normalized complex amplitudes.”
From Experimental hierarchy of two-qubit quantum correlations without state tomography (2023) · cites this paper as [66]
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Cites
Entanglement of Formation of an Arbitrary State of Two Qubits
Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290 · see citing works
Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Werner, R. F. (1989) · Physical Review A · doi:10.1103/physreva.40.4277 · Cited by 4,062 · see citing works
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 · see citing works
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- [28]J. Eisert, Ph.D. Thesis (University of Potsdam) (2001).
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A comparative study of relative entropy of entanglement, concurrence and negativity
Miranowicz, A., & Grudka, A. (2004) · Journal of Optics B: Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/12/009 · Cited by 86 · see citing works
Self-citationExperimental hierarchy of two-qubit quantum correlations without state tomography
Abo, S., Soubusta, J., Jiráková, K., Bartkiewicz, K., Černoch, A., Lemr, K., & Miranowicz, A. (2023) · Scientific Reports · doi:10.1038/s41598-023-35015-9 · Cited by 17 · see citing works
“On the other hand, B is equal to the negativity and concurrence [36, 62], but also to the steering measure S and the FEF:”
BackgroundSelf-citation
- Authors
- Miranowicz, A.
- Affiliations
- Adam Mickiewicz University in Poznań (PL)
- Corresponding author
- Miranowicz, Adam
- ORCID
- Miranowicz, Adam
- Venue
- Physics Letters A
- Publisher
- Elsevier BV
- Published
- 2004-07
- Volume
- 327
- Issue
- 4
- Pages
- 272-283
- ISSN
- 0375-9601 (ISSN-L)
- OpenAlex
- W2100254592
- Cited by
- 68
- References
- 3
- Citations by year
- 2026: 2 · 2025: 1 · 2024: 3 · 2023: 3 · 2022: 2 · 2021: 4 · 2020: 2 · 2019: 2 · 2018: 2 · 2017: 5 · 2016: 4 · 2015: 3 · 2014: 6 · 2013: 3 · 2012: 5
- FWCI
- 2.03
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Letters A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- 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 many-body systems
- Keywords
- Bell inequality violation, Werner states, two-qubit entanglement, negativity, decoherence, heat bath, master equation, entanglement measures, open quantum systems
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