dorsal/arxiv
View SchemaDecoherence and linear entropy increase in the quantum baker's map
| Authors | Andrei N. Soklakov, Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0107071 |
| URL | https://arxiv.org/abs/quant-ph/0107071 |
| DOI | 10.1103/PhysRevE.66.036212 |
| Journal | Phys. Rev. E 66, 036212 (2002) |
Abstract
We show that the coarse-grained quantum baker's map exhibits a linear entropy increase at an asymptotic rate given by the Kolmogorov-Sinai entropy of the classical chaotic baker's map. The starting point of our analysis is a symbolic representation of the map on a string of $N$ qubits, i.e., an $N$-bit register of a quantum computer. To coarse-grain the quantum evolution, we make use of the decoherent histories formalism. As a byproduct, we show that the condition of medium decoherence holds asymptotically for the coarse-grained quantum baker's map.
{
"annotation_id": "648d1a77-34fe-4079-96dd-e4fe2e32cb65",
"date_created": "2026-03-02T18:01:45.584000Z",
"date_modified": "2026-03-02T18:01:45.584000Z",
"file_hash": "9fa50c67a052d542ce5b446435b535cff1fd5ff487393ee4af4c8b693ab2240c",
"private": false,
"record": {
"abstract": "We show that the coarse-grained quantum baker\u0027s map exhibits a linear entropy\nincrease at an asymptotic rate given by the Kolmogorov-Sinai entropy of the\nclassical chaotic baker\u0027s map. The starting point of our analysis is a symbolic\nrepresentation of the map on a string of $N$ qubits, i.e., an $N$-bit register\nof a quantum computer. To coarse-grain the quantum evolution, we make use of\nthe decoherent histories formalism. As a byproduct, we show that the condition\nof medium decoherence holds asymptotically for the coarse-grained quantum\nbaker\u0027s map.",
"arxiv_id": "quant-ph/0107071",
"authors": [
"Andrei N. Soklakov",
"Ruediger Schack"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevE.66.036212",
"journal_ref": "Phys. Rev. E 66, 036212 (2002)",
"title": "Decoherence and linear entropy increase in the quantum baker\u0027s map",
"url": "https://arxiv.org/abs/quant-ph/0107071"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "73da76ee-d693-41ec-bb84-ab4b838f201b",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}