{ "id": "quant-ph/0008020", "version": "v1", "published": "2000-08-03T15:51:37.000Z", "updated": "2000-08-03T15:51:37.000Z", "title": "Operational resolutions and state transitions in a categorical setting", "authors": [ "Bob Coecke", "Isar Stubbe" ], "comment": "21 pages", "journal": "Foundations of Physics Letters {\\bf 12}, 29-49, 1999", "categories": [ "quant-ph", "math-ph", "math.CT", "math.DS", "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.", "revisions": [ { "version": "v1", "updated": "2000-08-03T15:51:37.000Z" } ], "analyses": { "keywords": [ "state transitions", "categorical setting", "objects operational resolutions", "sketch physical applications", "join-complete lattices" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable" } } }