dorsal/arxiv
View SchemaStructural Characterization of Compoundness
| Authors | Bob Coecke |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0008054 |
| URL | https://arxiv.org/abs/quant-ph/0008054 |
| Journal | Int. J. Theor. Phys. 39, 585-594 (2000) |
Abstract
We recover the rays in the tensor product of Hilbert spaces within a larger class of so called `states of compoundness', structured as a complete lattice with the `state of separation' as its top element. At the base of the construction lies the assumption that the cause of actuality of a property of one of the (as individual considered) entities in the compound system can be actuality of a property of the other one.
{
"annotation_id": "a14cd2fc-5387-421a-b560-09630a9ed707",
"date_created": "2026-03-02T18:01:38.619000Z",
"date_modified": "2026-03-02T18:01:38.619000Z",
"file_hash": "baa015285ce716e15360889353cc392c9c9dc7dc710bf7a17ae8bdd1fa702aa8",
"private": false,
"record": {
"abstract": "We recover the rays in the tensor product of Hilbert spaces within a larger\nclass of so called `states of compoundness\u0027, structured as a complete lattice\nwith the `state of separation\u0027 as its top element. At the base of the\nconstruction lies the assumption that the cause of actuality of a property of\none of the (as individual considered) entities in the compound system can be\nactuality of a property of the other one.",
"arxiv_id": "quant-ph/0008054",
"authors": [
"Bob Coecke"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP"
],
"journal_ref": "Int. J. Theor. Phys. 39, 585-594 (2000)",
"title": "Structural Characterization of Compoundness",
"url": "https://arxiv.org/abs/quant-ph/0008054"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "4156bb55-11de-4022-84f0-072fa9f94555",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}