Bell inequality for arbitrary many settings of the analyzers

Abstract

A generalization of the CHSH-Bell inequality to arbitrary many settings is presented. The singlet state of two spin $\half$ violates this inequality for all numbers of setting. In the limit of arbitrarily large number of settings, the violation tends to the finite ratio $4/\pi \approx 1.27$.

3 pages, 1 figure

References in corpus (1)

• Bell inequality, Bell states and maximally entangled states for n qubits

Cited by in corpus (23)

• Tsirelson bounds for generalized Clauser-Horne-Shimony-Holt inequalities
• Spectral decomposition of Bell's operators for qubits
• More efficient Bell inequalities for Werner states
• Tight multipartite Bell's inequalities involving many measurement settings
• Entangled qutrits violate local realism stronger than qubits - an analytical proof
• Facets of bipartite nonlocality sharing by multiple observers via sequential measurements
• Perfect Test of Entanglement for Two-level Systems
• Generalized Clauser-Horne-Shimony-Holt inequalities maximally violated by higher dimensional systems
• On the relation between Bell inequalities and nonlocal games
• Joint measurements and Bell inequalities
• Functional Bell inequalities can serve as a stronger entanglement witness
• Designing Bell inequalities from a Tsirelson bound
• Device-independent randomness based on a tight upper bound of the maximal quantum value of chained inequality
• Single-photon quantum nonlocality: Violation of the Clauser-Horne-Shimony-Holt inequality using feasible measurement setups
• Quantum Violation: Beyond Clauser-Horne-Shimony-Holt Inequality
• Maximal Non-Classicality in Multi-Setting Bell Inequalities
• Mesoscopic and macroscopic quantum correlations in photonic, atomic and optomechanical systems
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Optimisation of Bell inequalities with invariant Tsirelson bound
• Nonlocal correlations in an asymmetric quantum network
• Joint Probabilities Reproducing Three EPR Experiments On Two Qubits
• Continuous input nonlocal games
• SOS decomposition for general Bell inequalities in two qubits systems and its application to quantum randomness