On the largest Bell violation attainable by a quantum state

DOI10.1016/j.jfa.2014.07.028zbMath1295.81023arXiv1206.3695OpenAlexW2963441428WikidataQ62569340 ScholiaQ62569340MaRDI QIDQ403306

Carlos Palazuelos

Publication date: 29 August 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.3695

zbMATH Keywords

quantum information theoryBell inequalitiesHilbertian subspacesprojective tensor norm

Mathematics Subject Classification ID

2-person games (91A05) Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40)

Related Items

Specifying nonlocality of a pure bipartite state and analytical relations between measures for bipartite nonlocality and entanglement, Random quantum correlations are generically non-classical, Quantum communication complexity advantage implies violation of a Bell inequality, Bell's nonlocality in a general nonsignaling case: Quantitatively and conceptually, Complementarity and nonlocality in two-qudit systems, Random constructions in Bell inequalities: a survey, New concise upper bounds on quantum violation of general multipartite Bell inequalities, Survey on nonlocal games and operator space theory, Reducing the number of questions in nonlocal games, Multipartite entanglement detection via projective tensor norms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unbounded violations of bipartite Bell inequalities via operator space theory
• Large violation of Bell inequalities with low entanglement
• The dimension of almost spherical sections of convex bodies
• Type and cotype with respect to arbitrary orthonormal systems
• Unbounded violation of tripartite Bell inequalities
• Local quasi hidden variable modelling and violations of Bell-type inequalities by a multipartite quantum state
• Bell Inequalities for Arbitrarily High-Dimensional Systems
• The Quantum Reverse Shannon Theorem and Resource Tradeoffs for Simulating Quantum Channels
• From Bell’s Theorem to Secure Quantum Key Distribution
• Grothendieck inequalities for semidefinite programs with rank constraint
• The Positive Semidefinite Grothendieck Problem with Rank Constraint
• Banach spaces with a unique unconditional basis, up to permutation
• On the Dunford-Pettis Property
• A separability criterion for density operators
• Proposed Experiment to Test Local Hidden-Variable Theories
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Grothendieck’s Theorem, past and present
• Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques