dorsal/arxiv
View SchemaFactoring and Fourier Transformation with a Mach-Zehnder Interferometer
| Authors | Johann Summhammer |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9708047 |
| URL | https://arxiv.org/abs/quant-ph/9708047 |
| DOI | 10.1103/PhysRevA.56.4324 |
Abstract
The scheme of Clauser and Dowling (Phys. Rev. A 53, 4587 (1996)) for factoring $N$ by means of an N-slit interference experiment is translated into an experiment with a single Mach-Zehnder interferometer. With dispersive phase shifters the ratio of the coherence length to wavelength limits the numbers that can be factored. A conservative estimate permits $N \approx 10^7$. It is furthermore shown, that sine and cosine Fourier coefficients of a real periodic function can be obtained with such an interferometer.
{
"annotation_id": "5374feba-515e-4722-ae58-0d00b3dffe16",
"date_created": "2026-03-02T18:02:41.706000Z",
"date_modified": "2026-03-02T18:02:41.706000Z",
"file_hash": "19d615ec60a3a775c8fee831c3d975c790511c22c41047faf0a15400da5f4f42",
"private": false,
"record": {
"abstract": "The scheme of Clauser and Dowling (Phys. Rev. A 53, 4587 (1996)) for\nfactoring $N$ by means of an N-slit interference experiment is translated into\nan experiment with a single Mach-Zehnder interferometer. With dispersive phase\nshifters the ratio of the coherence length to wavelength limits the numbers\nthat can be factored. A conservative estimate permits $N \\approx 10^7$. It is\nfurthermore shown, that sine and cosine Fourier coefficients of a real periodic\nfunction can be obtained with such an interferometer.",
"arxiv_id": "quant-ph/9708047",
"authors": [
"Johann Summhammer"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.4324",
"title": "Factoring and Fourier Transformation with a Mach-Zehnder Interferometer",
"url": "https://arxiv.org/abs/quant-ph/9708047"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f74476d8-6518-4406-955d-3b531e864a6e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}