Distances between States and between Predicates

11/27/2017
by   Bart Jacobs, et al.
0

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.

READ FULL TEXT

Please sign up or login with your details

Forgot password? Click here to reset