Lifting Bell inequalities
- 1 June 2005
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 46 (6)
- https://doi.org/10.1063/1.1928727
Abstract
A Bell inequality defined for a specific experimental configuration can always be extended to a situation involving more observers, measurement settings or measurement outcomes. In this article, such "liftings" of Bell inequalities are studied. It is shown that if the original inequality defines a facet of the polytope of local joint outcome probabilities then the lifted one also defines a facet of the more complex polytope.Keywords
All Related Versions
This publication has 24 references indexed in Scilit:
- Tight Multipartite Bell's Inequalities Involving Many Measurement SettingsPhysical Review Letters, 2004
- Bell’s Inequalities and Quantum Communication ComplexityPhysical Review Letters, 2004
- A relevant two qubit Bell inequality inequivalent to the CHSH inequalityJournal of Physics A: General Physics, 2004
- Bell’s inequalities and distillability inN-quantum-bit systemsPhysical Review A, 2002
- Bell Inequalities for Arbitrarily High-Dimensional SystemsPhysical Review Letters, 2002
- Optimal tests of quantum nonlocalityPhysical Review A, 2001
- The partial constraint satisfaction problem: Facets and lifting theoremsOperations Research Letters, 1998
- Quantum cryptography based on Bell’s theoremPhysical Review Letters, 1991
- Hidden Variables, Joint Probability, and the Bell InequalitiesPhysical Review Letters, 1982
- Proposed Experiment to Test Local Hidden-Variable TheoriesPhysical Review Letters, 1969