dorsal/arxiv
View SchemaTowards a Simulation of Quantum Computers by Classical Systems
| Authors | Z. Haba, H. Kleinert |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0106095 |
| URL | https://arxiv.org/abs/quant-ph/0106095 |
| DOI | 10.1016/S0375-9601(02)00054-3 |
| Journal | Phys. Lett. A, 294 (2002) 139 |
Abstract
We present a two-dimensional classical stochastic differential equation for a displacement field of a point particle in two dimensions and show that its components define real and imaginary parts of a complex field satisfying the Schroedinger equation of a harmonic oscillator. In this way we derive the discrete oscillator spectrum from classical dynamics. The model is then generalized to an arbitrary potential. This opens up the possibility of efficiently simulating quantum computers with the help of classical systems.
{
"annotation_id": "6dc943c8-eec4-452c-9fd1-a2baec29bdb5",
"date_created": "2026-03-02T18:01:44.861000Z",
"date_modified": "2026-03-02T18:01:44.861000Z",
"file_hash": "95b139e118786bcd50d641042f5f639ec6433b53241a9561298179d7f9c40285",
"private": false,
"record": {
"abstract": "We present a two-dimensional classical stochastic differential equation for a\ndisplacement field of a point particle in two dimensions and show that its\ncomponents define real and imaginary parts of a complex field satisfying the\nSchroedinger equation of a harmonic oscillator. In this way we derive the\ndiscrete oscillator spectrum from classical dynamics. The model is then\ngeneralized to an arbitrary potential. This opens up the possibility of\nefficiently simulating quantum computers with the help of classical systems.",
"arxiv_id": "quant-ph/0106095",
"authors": [
"Z. Haba",
"H. Kleinert"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/S0375-9601(02)00054-3",
"journal_ref": "Phys. Lett. A, 294 (2002) 139",
"title": "Towards a Simulation of Quantum Computers by Classical Systems",
"url": "https://arxiv.org/abs/quant-ph/0106095"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "b7813f34-7934-4c76-8844-ce585e84027a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}