2015/12/08 by Tomasz I. Tylec, Marek Kuś, Jacek Krajczok · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Advanced Combinatorial Mathematics #Connection (principal bundle) #Correctness #Generalization #Probability distribution #Probability measure #Probability theory #Statistical Mechanics and Entropy #Term (time) #msc:03G12 #msc:81P10 #msc:81P45 #quant-ph
paper · pdf · doi:10.1007/s10773-016-3013-z
published in International Journal of Theoretical Physics 55(9), 3832-3842 (Springer Science+Business Media) · 6 pages, 1 figure
arxiv created 2015/12/08 · openalex publication_date 2016/04/22 · openalex created_date 2016/06/24 · arxiv updated 2016/11/24 · openalex updated_date 2026/08/05
We provide mathematicaly rigorous justification of using term "probability" in connection to the so called non-signalling theories,known also as Popescu's and Rohrlich's box worlds. No only do we prove correctness of these models (in the sense that they describe composite system of two independent subsystems) but we obtain new properties of non-signalling boxes and expose new tools for further investigation. Moreover, it allows strightforward generalization to more complicated systems.