dorsal/arxiv
View SchemaProbabilistic implementation of universal Hadamard and Unitary gates
| Authors | Wei Song, Ming Yang, Zhuo-Liang Cao |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404141 |
| URL | https://arxiv.org/abs/quant-ph/0404141 |
| DOI | 10.1016/j.physleta.2004.07.060 |
| Journal | Physics Letters A, 330, 155-160 (2004) |
Abstract
We show that the Hadamard and Unitary gates could be implemented by a unitary evolution together with a measurement for any unknown state chosen from a set $A = {{| {\Psi_i} > ,| {\bar {\Psi}_i} >}}({i = 1,2})$ if and only if $| {\Psi_1} > ,| {\Psi_2} > ,| {\bar {\Psi}_1} > ,| {\bar {\Psi}_2} >$ are linearly independent. We also derive the best transformation efficiencies.
{
"annotation_id": "cf607198-6ed2-4301-a1a1-3fb3f50cb9cd",
"date_created": "2026-03-02T18:02:07.042000Z",
"date_modified": "2026-03-02T18:02:07.042000Z",
"file_hash": "80b0c036cf79b88775428786acc66626f4ba57fc98058f5d36bca952fd70c5dc",
"private": false,
"record": {
"abstract": "We show that the Hadamard and Unitary gates could be implemented by a unitary\nevolution together with a measurement for any unknown state chosen from a set\n$A = {{| {\\Psi_i} \u003e ,| {\\bar {\\Psi}_i} \u003e}}({i = 1,2})$ if and only if $|\n{\\Psi_1} \u003e ,| {\\Psi_2} \u003e ,| {\\bar {\\Psi}_1} \u003e ,| {\\bar {\\Psi}_2} \u003e$ are\nlinearly independent. We also derive the best transformation efficiencies.",
"arxiv_id": "quant-ph/0404141",
"authors": [
"Wei Song",
"Ming Yang",
"Zhuo-Liang Cao"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.physleta.2004.07.060",
"journal_ref": "Physics Letters A, 330, 155-160 (2004)",
"title": "Probabilistic implementation of universal Hadamard and Unitary gates",
"url": "https://arxiv.org/abs/quant-ph/0404141"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2e7e67da-bdea-48ca-9a24-f0ade188e673",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}