dorsal/arxiv
View SchemaTensor Universality, Quantum Information Flow, Coecke's Theorem, and Generalizations
| Authors | George Svetlichny |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601093 |
| URL | https://arxiv.org/abs/quant-ph/0601093 |
Abstract
We show that Coecke's compositionality theorem for quantum information flow follows by the universal property of tensor products from the case in which all relevant states are totally disentangled, for which the proof is almost trivial. With the same technique we deduce a PROP structure behind general multipartite quantum information processing and show that all such are equivalent to a canonical teleportation-type form. Some philosophical issues concerning quantum information are also touched upon.
{
"annotation_id": "3fa80d8b-c07f-4c1b-84d0-c42d341bf853",
"date_created": "2026-03-02T18:02:24.133000Z",
"date_modified": "2026-03-02T18:02:24.133000Z",
"file_hash": "58ad3f3cb42acb9a7a9777a686bfbb0eb5f279c02aa17d93d6f123fa0e164b1b",
"private": false,
"record": {
"abstract": "We show that Coecke\u0027s compositionality theorem for quantum information flow\nfollows by the universal property of tensor products from the case in which all\nrelevant states are totally disentangled, for which the proof is almost\ntrivial. With the same technique we deduce a PROP structure behind general\nmultipartite quantum information processing and show that all such are\nequivalent to a canonical teleportation-type form. Some philosophical issues\nconcerning quantum information are also touched upon.",
"arxiv_id": "quant-ph/0601093",
"authors": [
"George Svetlichny"
],
"categories": [
"quant-ph"
],
"title": "Tensor Universality, Quantum Information Flow, Coecke\u0027s Theorem, and Generalizations",
"url": "https://arxiv.org/abs/quant-ph/0601093"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bf61346e-59ee-4a3e-91b7-720fd1c5a673",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}