Operational resolutions and state transitions in a categorical setting

Bob Coecke , Isar Stubbe (1, 2)

1 ULCO - Université du Littoral Côte d'Opale
2 LMPA - Laboratoire de Mathématiques Pures et Appliquées Joseph Liouville

We define a category with as objects operational resolutions and with as morphisms - not necessarily deterministic - state transitions. We study connections with closure spaces and join-complete lattices and sketch physical applications related to evolution and compoundness. An appendix with preliminaries on quantaloids is included.

Domaines: Mathématiques [math]; Informatique [cs]; Physique [physics]

Bob Coecke, Isar Stubbe. Operational resolutions and state transitions in a categorical setting. Foundations of Physics Letters, 1999, 12 (1), pp.29-49. ⟨10.1023/A:1021626704772⟩. ⟨hal-03606847⟩