dorsal/arxiv
View SchemaFinite size effects in entangled rings of qubits
| Authors | T. Meyer, U. V. Poulsen, K. Eckert, M. Lewenstein, D. Bruss |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308082 |
| URL | https://arxiv.org/abs/quant-ph/0308082 |
| Journal | Int. J. Quant. Inf. 2, 149 (2004) |
Abstract
We study translationally invariant rings of qubits with a finite number of sites N, and find the maximal nearest-neighbor entanglement for a fixed z component of the total spin. For small numbers of sites our results are analytical. The use of a linearized version of the concurrence allows us to relate the maximal concurrence to the ground state energy of an XXZ spin model, and to calculate it numerically for N<25. We point out some interesting finite-size effects. Finally, we generalize our results beyond nearest neighbors.
{
"annotation_id": "d8b48d0b-070c-42f8-b38c-a7d950235542",
"date_created": "2026-03-02T18:01:59.933000Z",
"date_modified": "2026-03-02T18:01:59.933000Z",
"file_hash": "9efc06d3b040697f59f3d6cca428c8cc731f8ba25a0c987ee42afc578942d9eb",
"private": false,
"record": {
"abstract": "We study translationally invariant rings of qubits with a finite number of\nsites N, and find the maximal nearest-neighbor entanglement for a fixed z\ncomponent of the total spin. For small numbers of sites our results are\nanalytical. The use of a linearized version of the concurrence allows us to\nrelate the maximal concurrence to the ground state energy of an XXZ spin model,\nand to calculate it numerically for N\u003c25. We point out some interesting\nfinite-size effects. Finally, we generalize our results beyond nearest\nneighbors.",
"arxiv_id": "quant-ph/0308082",
"authors": [
"T. Meyer",
"U. V. Poulsen",
"K. Eckert",
"M. Lewenstein",
"D. Bruss"
],
"categories": [
"quant-ph"
],
"journal_ref": "Int. J. Quant. Inf. 2, 149 (2004)",
"title": "Finite size effects in entangled rings of qubits",
"url": "https://arxiv.org/abs/quant-ph/0308082"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "9cbe2172-eb2c-44b9-95ae-a3bf4f2a6ac7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}