dorsal/arxiv
View SchemaHomological invariants of stabilizer states
| Authors | Klaus Wirthmüller |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611131 |
| URL | https://arxiv.org/abs/quant-ph/0611131 |
| Journal | Quantum Inf. Comput. 8, 595 (2008) |
Abstract
We propose a new kind of invariant of multi-party stabilizer states with respect to local Clifford equivalence. These homological invariants are discrete entities defined in terms of the entanglement a state enjoys with respect to arbitrary groupings of the parties, and they may be thought of as reflecting entanglement in a qualitative way. We investigate basic properties of the invariants and link them with known results on the extraction of GHZ states.
{
"annotation_id": "f175c801-f141-434a-a11c-12df2d471e8d",
"date_created": "2026-03-02T18:02:31.141000Z",
"date_modified": "2026-03-02T18:02:31.141000Z",
"file_hash": "423397814e66d076b1a0f8218aa60f34f93fd2bc6fec1fd1b59cb178303fab22",
"private": false,
"record": {
"abstract": "We propose a new kind of invariant of multi-party stabilizer states with\nrespect to local Clifford equivalence. These homological invariants are\ndiscrete entities defined in terms of the entanglement a state enjoys with\nrespect to arbitrary groupings of the parties, and they may be thought of as\nreflecting entanglement in a qualitative way. We investigate basic properties\nof the invariants and link them with known results on the extraction of GHZ\nstates.",
"arxiv_id": "quant-ph/0611131",
"authors": [
"Klaus Wirthm\u00fcller"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Inf. Comput. 8, 595 (2008)",
"title": "Homological invariants of stabilizer states",
"url": "https://arxiv.org/abs/quant-ph/0611131"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "054fe424-47c2-4031-ab4f-f9b3b7b3abc4",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}