dorsal/arxiv
View SchemaPrecision of single-qubit gates based on Raman transitions
| Authors | Xavier Caillet, Christoph Simon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510014 |
| URL | https://arxiv.org/abs/quant-ph/0510014 |
| DOI | 10.1140/epjd/e2007-00049-1 |
| Journal | Eur. Phys. J. D 42, 341 (2007) |
Abstract
We analyze the achievable precision for single-qubit gates that are based on Raman transitions between two near-degenerate ground states via a virtually excited state. In particular, we study the errors due to non-perfect adiabaticity and due to spontaneous emission from the excited state. For the case of non-adabaticity, we calculate the error as a function of the dimensionless parameter $\chi=\Delta \tau$, where $\Delta$ is the detuning of the Raman beams and $\tau$ is the gate time. For the case of spontaneous emission, we give an analytical argument that the gate errors are approximately equal to $\Lambda \gamma/\Delta$, where $\Lambda$ is the rotation angle of the one-qubit gate and $\gamma$ is the spontaneous decay rate, and we show numerically that this estimate holds to good approximation.
{
"annotation_id": "a10224a0-b468-4c5a-a0aa-2be69ef42d99",
"date_created": "2026-03-02T18:02:19.684000Z",
"date_modified": "2026-03-02T18:02:19.684000Z",
"file_hash": "b86ad96b5cbe3783df5b3972eec4e54cb0ca99bde6c0db9e93caf02bcdb261f2",
"private": false,
"record": {
"abstract": "We analyze the achievable precision for single-qubit gates that are based on\nRaman transitions between two near-degenerate ground states via a virtually\nexcited state. In particular, we study the errors due to non-perfect\nadiabaticity and due to spontaneous emission from the excited state. For the\ncase of non-adabaticity, we calculate the error as a function of the\ndimensionless parameter $\\chi=\\Delta \\tau$, where $\\Delta$ is the detuning of\nthe Raman beams and $\\tau$ is the gate time. For the case of spontaneous\nemission, we give an analytical argument that the gate errors are approximately\nequal to $\\Lambda \\gamma/\\Delta$, where $\\Lambda$ is the rotation angle of the\none-qubit gate and $\\gamma$ is the spontaneous decay rate, and we show\nnumerically that this estimate holds to good approximation.",
"arxiv_id": "quant-ph/0510014",
"authors": [
"Xavier Caillet",
"Christoph Simon"
],
"categories": [
"quant-ph"
],
"doi": "10.1140/epjd/e2007-00049-1",
"journal_ref": "Eur. Phys. J. D 42, 341 (2007)",
"title": "Precision of single-qubit gates based on Raman transitions",
"url": "https://arxiv.org/abs/quant-ph/0510014"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f60576ef-7b92-4531-b393-71e362613ca7",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}