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Entanglement versus Bell Violations and Their Behavior under Local Filtering Operations
Open accessAbstract
We discuss the relations between the violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality for systems of two qubits on the one side and entanglement of formation, local filtering operations, and the entropy and purity on the other. We calculate the extremal Bell violations for a given amount of entanglement of formation and characterize the respective states, which turn out to have extremal properties also with respect to the entropy, purity, and several entanglement monotones. The optimal local filtering operations leading to the maximal Bell violation for a given state are provided, and the special role of the resulting Bell diagonal states in the context of Bell inequalities is discussed.
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Cites
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
Einstein, A., Podolsky, B., & Rosen, N. (1935) · Physical Review · doi:10.1103/physrev.47.777 · Cited by 16,654
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Wootters, W. K. (1998) · Physical Review Letters · doi:10.1103/physrevlett.80.2245 · Cited by 8,290
Proposed Experiment to Test Local Hidden-Variable Theories
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Violating Bell inequality by mixed states: necessary and sufficient condition
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Hidden quantum nonlocality revealed by local filters
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Cited by
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
Device-independent security of quantum cryptography against collective attacks
Acín, A., Brunner, N., Gisin, N., Massar, S., Pironio, S., & Scarani, V. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.230501 · Cited by 1,537
Research on hidden variable theories: A review of recent progresses
GENOVESE, M. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.03.003 · Cited by 477
Device-independent quantum secure direct communication against collective attacks
Zhou, L., Sheng, Y.-B., & Long, G.-L. (2020) · Science Bulletin · doi:10.1016/j.scib.2019.10.025 · Cited by 293
Metadata
- Authors
- Verstraete, F., & Wolf, M. M.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-10-02
- Volume
- 89
- Issue
- 17
- Pages
- 170401-170401
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1981393792
- Cited by
- 205
- References
- 7
- FWCI
- 6.69
- Type
- journal article
- Language
- en
- Open access
- bronze
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