English

Operational resolutions and state transitions in a categorical setting

Quantum Physics 2015-06-26 v1 Mathematical Physics Category Theory Dynamical Systems math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.quant-ph/0008020,
  title  = {Operational resolutions and state transitions in a categorical setting},
  author = {Bob Coecke and Isar Stubbe},
  journal= {arXiv preprint arXiv:quant-ph/0008020},
  year   = {2015}
}

Comments

21 pages

R2 v1 2026-07-22T19:28:29.446Z