Title
DISTANCES BETWEEN STATES AND BETWEEN PREDICATES
Abstract
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.
Year
DOI
Venue
2017
10.23638/LMCS-16(1:26)2020
LOGICAL METHODS IN COMPUTER SCIENCE
Keywords
Field
DocType
Total variation distance,Kantorovich distance,trace distance,convex set,effect module,state and effect triangle
Quantum probability,Discrete mathematics,Regular polygon,Probability distribution,Metric space,Predicate (grammar),Mathematics,Adjunction
Journal
Volume
Issue
ISSN
16
1
1860-5974
Citations 
PageRank 
References 
0
0.34
5
Authors
3
Name
Order
Citations
PageRank
Bart Jacobs1665.22
Abraham Westerbaan200.34
B. Jacobs31046100.09