dorsal/arxiv
View SchemaQuantum gates on hybrid qudits
| Authors | Jamil Daboul, Xiaoguang Wang, Barry C Sanders |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211185 |
| URL | https://arxiv.org/abs/quant-ph/0211185 |
| DOI | 10.1088/0305-4470/36/10/312 |
| Journal | J. Phys. A: Math. Gen. 36 (14), 2525-2536 (2003). |
Abstract
We introduce quantum hybrid gates that act on qudits of different dimensions. In particular, we develop two representative two-qudit hybrid gates (SUM and SWAP) and many-qudit hybrid Toffoli and Fredkin gates. We apply the hybrid SUM gate to generating entanglement, and find that operator entanglement of the SUM gate is equal to the entanglement generated by it for certain initial states. We also show that the hybrid SUM gate acts as an automorphism on the Pauli group for two qudits of different dimension under certain conditions. Finally, we describe a physical realization of these hybrid gates for spin systems.
{
"annotation_id": "cfe971ef-75b4-4913-b0d3-fa76a43c4f74",
"date_created": "2026-03-02T18:01:56.705000Z",
"date_modified": "2026-03-02T18:01:56.705000Z",
"file_hash": "529d47a7f7d3b7aec7a2addef81903be2c6d44b47023e940443209b1a35faa25",
"private": false,
"record": {
"abstract": "We introduce quantum hybrid gates that act on qudits of different dimensions.\nIn particular, we develop two representative two-qudit hybrid gates (SUM and\nSWAP) and many-qudit hybrid Toffoli and Fredkin gates. We apply the hybrid SUM\ngate to generating entanglement, and find that operator entanglement of the SUM\ngate is equal to the entanglement generated by it for certain initial states.\nWe also show that the hybrid SUM gate acts as an automorphism on the Pauli\ngroup for two qudits of different dimension under certain conditions. Finally,\nwe describe a physical realization of these hybrid gates for spin systems.",
"arxiv_id": "quant-ph/0211185",
"authors": [
"Jamil Daboul",
"Xiaoguang Wang",
"Barry C Sanders"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/36/10/312",
"journal_ref": "J. Phys. A: Math. Gen. 36 (14), 2525-2536 (2003).",
"title": "Quantum gates on hybrid qudits",
"url": "https://arxiv.org/abs/quant-ph/0211185"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b45b0fee-27a4-42e1-92b1-6788a761ed3a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}