From statistical proofs of the Kochen-Specker theorem to noise-robust noncontextuality inequalities

2017/08/31 by Ravi Kunjwal, Robert W. Spekkens
Chemistry · Mathematics · Physics and Astronomy · #Applied mathematics #Artificial intelligence #Calculus (dental) #Computer science #Geometry #History and advancements in chemistry #Inequality #Kochen–Specker theorem #Mathematical analysis #Mathematical proof #Mathematics #Noise (video) #Physics #Quantum Mechanics and Applications #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.1103/physreva.97.052110

published as Phys. Rev. A 97, 052110 (2018) · 14 pages, 4 figures, published version

arxiv created 2018/05/10 · openalex publication_date 2018/05/10 · arxiv updated 2018/05/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

A generalized principle of noncontextuality applicable to noisy experimental data is discussed. An approach to obtaining noise-robust noncontextuality inequalities starting from arbitrary statistical proofs of the Kochen-Specker theorem is presented.

Citations

• Quantum nonlocality as an axiom
• A simple test for hidden variables in spin-1 system
• Hidden Variables, Joint Probability, and the Bell Inequalities
• Hidden Variables and the Two Theorems of John Bell
• On the Einstein Podolsky Rosen paradox
• Reformulating noncontextuality inequalities in an operational approach
• The Problem of Hidden Variables in Quantum Mechanics