2019/09/16 by Adán Cabello · 4 citations
Computer Science · Physics and Astronomy · #Kochen–Specker theorem #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum discord #Quantum process #Realization (probability) #Set (abstract data type) #Statistical Mechanics and Entropy #quant-ph
paper · pdf · doi:10.1098/rsta.2019.0136
published in Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences 377(2157), 20190136 (Royal Society) · 18 pages, 2 figures. arXiv admin note: text overlap with arXiv:1801.06347
openalex publication_date 2019/09/16 · arxiv created 2019/09/24 · openalex created_date 2019/09/26 · arxiv updated 2019/09/27 · openalex updated_date 2026/08/05
The totalitarian principle establishes that 'anything not forbidden is compulsory'. The problem of quantum correlations is explaining what selects the set of quantum correlations for a Bell and Kochen-Specker (KS) contextuality scenario. Here, we show that two assumptions and a version of the totalitarian principle lead to the quantum correlations. The assumptions are that there is a non-empty set of correlations for any KS contextuality scenario and a statistically independent realization of any two KS experiments. The version of the totalitarian principle says that any correlation not forbidden by these assumptions can be produced. This paper contains a short version of the proof (presented elsewhere) and explores some implications of the result. This article is part of the theme issue 'Contextuality and probability in quantum mechanics and beyond'.