Lifting Bell inequalities

2005/03/31 by Stefano Pironio · 2 citations
Arts and Humanities · Computer Science · Physics and Astronomy · #Philosophy and History of Science #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1063/1.1928727

published as J. Math. Phys. 46, 062112 (2005) · Revtex, 8 pages. v2: minor revisions

openalex publication_date 2005/06/01 · arxiv created 2005/06/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

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.

Citations

• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Bell’s Theorem for GeneralN-Qubit States
• All-multipartite Bell-correlation inequalities for two dichotomic observables per site
• Nonlocal correlations as an information-theoretic resource

Cited by

• Quantifying multipartite nonlocality via the size of the resource
• Bell nonlocality