dorsal/arxiv
View SchemaEntanglement and local information access for graph states
| Authors | Damian Markham, Akimasa Miyake, Shashank Virmani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0609102 |
| URL | https://arxiv.org/abs/quant-ph/0609102 |
| DOI | 10.1088/1367-2630/9/6/194 |
| Journal | New J. Phys. 9, 194 (2007) |
Abstract
We exactly evaluate a number of multipartite entanglement measures for a class of graph states, including d-dimensional cluster states (d = 1,2,3), the Greenberger-Horne-Zeilinger states, and some related mixed states. The entanglement measures that we consider are continuous, `distance from separable states' measures, including the relative entropy, the so-called geometric measure, and robustness of entanglement. We also show that for our class of graph states these entanglement values give an operational interpretation as the maximal number of graph states distinguishable by local operations and classical communication (LOCC), as well as supplying a tight bound on the fixed letter classical capacity under LOCC decoding.
{
"annotation_id": "51ac7991-ea1a-4a00-82fc-716aedc29f28",
"date_created": "2026-03-02T18:02:30.147000Z",
"date_modified": "2026-03-02T18:02:30.147000Z",
"file_hash": "36d01c22eb4e9fdc9f1119ffe52ee1d314039a6eac406e45b55c4ff0b51c4d14",
"private": false,
"record": {
"abstract": "We exactly evaluate a number of multipartite entanglement measures for a\nclass of graph states, including d-dimensional cluster states (d = 1,2,3), the\nGreenberger-Horne-Zeilinger states, and some related mixed states. The\nentanglement measures that we consider are continuous, `distance from separable\nstates\u0027 measures, including the relative entropy, the so-called geometric\nmeasure, and robustness of entanglement. We also show that for our class of\ngraph states these entanglement values give an operational interpretation as\nthe maximal number of graph states distinguishable by local operations and\nclassical communication (LOCC), as well as supplying a tight bound on the fixed\nletter classical capacity under LOCC decoding.",
"arxiv_id": "quant-ph/0609102",
"authors": [
"Damian Markham",
"Akimasa Miyake",
"Shashank Virmani"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/9/6/194",
"journal_ref": "New J. Phys. 9, 194 (2007)",
"title": "Entanglement and local information access for graph states",
"url": "https://arxiv.org/abs/quant-ph/0609102"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "672998f2-bf14-4fb0-af9b-bfa77e6c0923",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}