Generalizing Tsirelson's bound on Bell inequalities using a min-max principle
arXiv:quant-ph/0403175 · doi:10.1103/PhysRevLett.93.130407
Abstract
Bounds on the norm of quantum operators associated with classical Bell-type inequalities can be derived from their maximal eigenvalues. This quantitative method enables detailed predictions of the maximal violations of Bell-type inequalities.
4 pages, 2 figures, RevTeX4, replaced with published version
References in corpus (9)
- All multipartite Bell correlation inequalities for two dichotomic observables per site
- A geometric theory of non-local two-qubit operations
- Symmetries of the Bell correlation inequalities
- New optimal tests of quantum nonlocality
- Violating Bell's inequality beyond Cirel'son's bound
- Proposed experiment to test the bounds of quantum correlations
- Two qubits of a W state violate Bell's inequality beyond Cirel'son's bound
- Testing the bounds on quantum probabilities
- Experimental evidence for bounds on quantum correlations
Cited by in corpus (23)
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- Causality and Cirel'son bounds
- Bounds on Quantum Correlations in Bell Inequality Experiments
- Efficiency of higher dimensional Hilbert spaces for the violation of Bell inequalities
- Two faced Janus of quantum nonlocality
- Mathematical Methods of Theoretical Physics
- How much larger quantum correlations are than classical ones
- Geometry of quantum correlations
- Quantum Scholasticism: On Quantum Contexts, Counterfactuals, and the Absurdities of Quantum Omniscience
- How much contextuality?
- What makes quantum clicks special?
- Evaluating the Maximal Violation of the Original Bell Inequality by Two-Qudit States Exhibiting Perfect Correlations/Anticorrelations
- Experimental Test of Nonlocality Limits from Relativistic Independence
- Roots and (re)sources of value (in)definiteness versus contextuality. A contribution to the Pitowsky Volume in memory of Itamar Pitowsky (1950--2010)
- Quantum analog of the original Bell inequality for two-qudit states with perfect correlations/anticorrelations
- Contexts in quantum, classical and partition logic
- Varieties of contextuality based on probability and structural nonembeddability
- Quantum violation of the Suppes-Zanotti inequalities and "contextuality"
- On The Complete Description Of Entangled Systems Part II: The (Meta)Physical Status And Semantic Aspects
- Correlations, Bell Inequality Violation & Quantum Entanglement
- (Re)Construction of Quantum Space-Time: Transcribing Hilbert Into Configuration Space
- On the plasticity of nonlocal quantum correlations
- Form of Contextuality Predicting Probabilistic Equivalence between Two Sets of Three Mutually Noncommuting Observables