dorsal/arxiv
View SchemaDynamical localization simulated on a few qubits quantum computer
| Authors | Giuliano Benenti, Giulio Casati, Simone Montangero, Dima L. Shepelyansky |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210052 |
| URL | https://arxiv.org/abs/quant-ph/0210052 |
| DOI | 10.1103/PhysRevA.67.052312 |
| Journal | Phys. Rev. A 67, 052312 (2003) |
Abstract
We show that a quantum computer operating with a small number of qubits can simulate the dynamical localization of classical chaos in a system described by the quantum sawtooth map model. The dynamics of the system is computed efficiently up to a time $t\geq \ell$, and then the localization length $\ell$ can be obtained with accuracy $\nu$ by means of order $1/\nu^2$ computer runs, followed by coarse grained projective measurements on the computational basis. We also show that in the presence of static imperfections a reliable computation of the localization length is possible without error correction up to an imperfection threshold which drops polynomially with the number of qubits.
{
"annotation_id": "7fc9f19b-fb53-41af-8891-01edb8997f66",
"date_created": "2026-03-02T18:01:53.168000Z",
"date_modified": "2026-03-02T18:01:53.168000Z",
"file_hash": "2fabe56ba1b3d280c40f8a722343b5c2cad1aae242f69e7ac8b5109ed8a72c90",
"private": false,
"record": {
"abstract": "We show that a quantum computer operating with a small number of qubits can\nsimulate the dynamical localization of classical chaos in a system described by\nthe quantum sawtooth map model. The dynamics of the system is computed\nefficiently up to a time $t\\geq \\ell$, and then the localization length $\\ell$\ncan be obtained with accuracy $\\nu$ by means of order $1/\\nu^2$ computer runs,\nfollowed by coarse grained projective measurements on the computational basis.\nWe also show that in the presence of static imperfections a reliable\ncomputation of the localization length is possible without error correction up\nto an imperfection threshold which drops polynomially with the number of\nqubits.",
"arxiv_id": "quant-ph/0210052",
"authors": [
"Giuliano Benenti",
"Giulio Casati",
"Simone Montangero",
"Dima L. Shepelyansky"
],
"categories": [
"quant-ph",
"cond-mat",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.67.052312",
"journal_ref": "Phys. Rev. A 67, 052312 (2003)",
"title": "Dynamical localization simulated on a few qubits quantum computer",
"url": "https://arxiv.org/abs/quant-ph/0210052"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "2f8216d0-1d3b-4c69-96f6-dd5c4af2d032",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}