dorsal/arxiv
View SchemaOperational resolutions and state transitions in a categorical setting
| Authors | Bob Coecke, Isar Stubbe |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008020 |
| URL | https://arxiv.org/abs/quant-ph/0008020 |
| DOI | 10.1023/A:1021626704772 |
| Journal | Foundations of Physics Letters {\bf 12}, 29-49, 1999 |
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.
{
"annotation_id": "f8378c7a-d65c-4ef7-be88-cb0791475efb",
"date_created": "2026-03-02T18:01:39.252000Z",
"date_modified": "2026-03-02T18:01:39.252000Z",
"file_hash": "fe0b92bc9bc26d12d08d3cac71598bcb08a02208a5cd8737569c683acb5c06d6",
"private": false,
"record": {
"abstract": "We define a category with as objects operational resolutions and with as\nmorphisms - not necessarily deterministic - state transitions. We study\nconnections with closure spaces and join-complete lattices and sketch physical\napplications related to evolution and compoundness. An appendix with\npreliminaries on quantaloids is included.",
"arxiv_id": "quant-ph/0008020",
"authors": [
"Bob Coecke",
"Isar Stubbe"
],
"categories": [
"quant-ph",
"math-ph",
"math.CT",
"math.DS",
"math.MP"
],
"doi": "10.1023/A:1021626704772",
"journal_ref": "Foundations of Physics Letters {\\bf 12}, 29-49, 1999",
"title": "Operational resolutions and state transitions in a categorical setting",
"url": "https://arxiv.org/abs/quant-ph/0008020"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e48b0ae2-9f2a-42e5-8d67-615eb62b85f7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}