New Bell inequalities for the singlet state: Going beyond the Grothendieck bound

DOI10.1063/1.2826227zbMath1153.81419arXivquant-ph/0702199OpenAlexW3104356440MaRDI QIDQ3544573

Itamar Pitowsky

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/quant-ph/0702199

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15)

Related Items (9)

Convex Bodies Associated to Tensor Norms ⋮ Grothendieck-Type Inequalities in Combinatorial Optimization ⋮ Probabilistic inequalities and measurements in bipartite systems ⋮ Unbounded violations of bipartite Bell inequalities via operator space theory ⋮ Ultra-quantum coherent states in a single finite quantum system ⋮ Computing the Grothendieck constant of some graph classes ⋮ Quasi-Bell inequalities from symmetrized products of noncommuting qubit observables ⋮ Quantum analog of the original Bell inequality for two-qudit states with perfect correlations/anticorrelations ⋮ Grothendieck bound in a single quantum system

Cites Work

• Correlation polytopes: Their geometry and complexity
• The CW-inequalities for vectors in \(\ell_ 1\)
• Quantum analogues of the Bell inequalities. The case of two spatially separated domains
• Bell Inequalities, Grothendieck’s Constant, and Root Two
• Extreme quantum entanglement in a superposition of macroscopically distinct states
• Proposed Experiment to Test Local Hidden-Variable Theories
• Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
• Quadratic forms on graphs
• Geometry of cuts and metrics

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