Distances between States and between Predicates

Autor: Bart Jacobs, Abraham Westerbaan
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Logical Methods in Computer Science, Vol Volume 16, Issue 1 (2020)
Druh dokumentu: article
ISSN: 1860-5974
DOI: 10.23638/LMCS-16(1:26)2020
Popis: This paper gives a systematic account of various metrics on probability distributions (states) and on predicates. These metrics are described in a uniform manner using the validity relation between states and predicates. The standard adjunction between convex sets (of states) and effect modules (of predicates) is restricted to convex complete metric spaces and directed complete effect modules. This adjunction is used in two state-and-effect triangles, for classical (discrete) probability and for quantum probability.
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