dorsal/arxiv
View SchemaQuantum Circuits for General Multiqubit Gates
| Authors | Mikko Mottonen, Juha J. Vartiainen, Ville Bergholm, Martti M. Salomaa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404089 |
| URL | https://arxiv.org/abs/quant-ph/0404089 |
| DOI | 10.1103/PhysRevLett.93.130502 |
| Journal | Phys. Rev. Lett. 93, 130502 (2004) |
Abstract
We consider a generic elementary gate sequence which is needed to implement a general quantum gate acting on n qubits -- a unitary transformation with 4^n degrees of freedom. For synthesizing the gate sequence, a method based on the so-called cosine-sine matrix decomposition is presented. The result is optimal in the number of elementary one-qubit gates, 4^n, and scales more favorably than the previously reported decompositions requiring 4^n-2^n+1 controlled NOT gates.
{
"annotation_id": "323e1cbf-9d24-4ab1-8710-5a14543a32fe",
"date_created": "2026-03-02T18:02:06.081000Z",
"date_modified": "2026-03-02T18:02:06.081000Z",
"file_hash": "734eed8def5cb3cca9ac181347465a1f2d7428631b76318707c6f10b5de0ba67",
"private": false,
"record": {
"abstract": "We consider a generic elementary gate sequence which is needed to implement a\ngeneral quantum gate acting on n qubits -- a unitary transformation with 4^n\ndegrees of freedom. For synthesizing the gate sequence, a method based on the\nso-called cosine-sine matrix decomposition is presented. The result is optimal\nin the number of elementary one-qubit gates, 4^n, and scales more favorably\nthan the previously reported decompositions requiring 4^n-2^n+1 controlled NOT\ngates.",
"arxiv_id": "quant-ph/0404089",
"authors": [
"Mikko Mottonen",
"Juha J. Vartiainen",
"Ville Bergholm",
"Martti M. Salomaa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.93.130502",
"journal_ref": "Phys. Rev. Lett. 93, 130502 (2004)",
"title": "Quantum Circuits for General Multiqubit Gates",
"url": "https://arxiv.org/abs/quant-ph/0404089"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "3601749f-f0b6-4365-a34d-8eab54416e29",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}