Abstract | ||
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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 Jacobs | 1 | 66 | 5.22 |
Abraham Westerbaan | 2 | 0 | 0.34 |
B. Jacobs | 3 | 1046 | 100.09 |