Bell-type inequalities for non-local resources

Abstract

We present bipartite Bell-type inequalities which allow the two partners to use some non-local resource. Such inequality can only be violated if the parties use a resource which is more non-local than the one permitted by the inequality. We introduce a family of N-inputs non-local machines, which are generalizations of the well-known PR-box. Then we construct Bell-type inequalities that cannot be violated by strategies that use one these new machines. Finally we discuss implications for the simulation of quantum states.

8 pages, 4 figures

References in corpus (8)

• From Bell's Theorem to Secure Quantum Key Distribution
• The Communication Cost of Simulating Bell Correlations
• Popescu-Rohrlich correlations as a unit of nonlocality
• Quantum entanglement can be simulated without communication
• Entanglement and non-locality are different resources
• Interconversion of Nonlocal Correlations
• Lifting Bell inequalities
• Simulating quantum correlations as a distributed sampling problem

Cited by in corpus (6)

• Classifying 50 years of Bell inequalities
• Contextuality and Noncontextuality Measures and Generalized Bell Inequalities for Cyclic Systems
• Two-Qubit Pure Entanglement as Optimal Social Welfare Resource in Bayesian Game
• Exploring non-signalling polytopes with negative probability
• Couplers for Non-Locality Swapping
• Quantum correlations cannot be reproduced with a finite number of measurements in any no-signaling theory