2013/02/28 by M. Markiewicz, Marcin Markiewicz, P. Kurzynski +11 · 32 citations
Arts and Humanities · Chemistry · Mathematics · Physics and Astronomy · Psychology · #Computer science #Consistency (knowledge bases) #Construct (python library) #Discrete mathematics #Generality #History and advancements in chemistry #Kochen–Specker theorem #Mathematics #Philosophy and History of Science #Physics #Psychology #Quantum #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Type (biology) #quant-ph
paper · pdf · doi:10.1103/physreva.89.042109
published in Physical Review A 89(4) (American Physical Society) · 6 pages, 1 figure
arxiv created 2014/01/21 · openalex publication_date 2014/04/18 · arxiv updated 2016/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We highlight the existence of a joint probability distribution as the common underpinning assumption behind Bell-type, contextuality, and Leggett-Garg-type tests. We then present a procedure to translate contextual scenarios into temporal Leggett-Garg-type and spatial Bell-type ones. To demonstrate the generality of this approach we construct a family of spatial Bell-type inequalities. We show that in the Leggett-Garg scenario a necessary condition for contextuality in time is given by a violation of consistency conditions in the consistent histories approach to quantum mechanics.