2011/04/30 by Gerd Niestegge · 25 citations
Computer Science · Mathematics · Physics and Astronomy · #Calculus (dental) #Hidden variable theory #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Statistical physics #Theoretical physics #math-ph #math.MP #quant-ph
paper · pdf · doi:10.1007/s10701-013-9719-3
published in Foundations of Physics 43(6), 805-812 (Springer Science+Business Media) · 9 pages, no figure
arxiv created 2013/04/24 · openalex publication_date 2013/04/25 · arxiv updated 2013/05/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An interesting link between two very different physical aspects of quantum mechanics is revealed; these are the absence of third-order interference and Tsirelson's bound for the nonlocal correlations. Considering multiple-slit experiments - not only the traditional configuration with two slits, but also configurations with three and more slits - Sorkin detected that third-order (and higher-order) interference is not possible in quantum mechanics. The EPR experiments show that quantum mechanics involves nonlocal correlations which are demonstrated in a violation of the Bell or CHSH inequality, but are still limited by a bound discovered by Tsirelson. It now turns out that Tsirelson's bound holds in a broad class of probabilistic theories provided that they rule out third-order interference. A major characteristic of this class is the existence of a reasonable calculus of conditional probability or, phrased more physically, of a reasonable model for the quantum measurement process.