dorsal/arxiv
View SchemaPhase space contraction and quantum operations
| Authors | Ignacio Garcia-Mata, Marcos Saraceno, Maria Elena Spina, Gabriel Carlo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0508190 |
| URL | https://arxiv.org/abs/quant-ph/0508190 |
| DOI | 10.1103/PhysRevA.72.062315 |
| Journal | Phys. Rev. A 72, 062315 (2005) |
Abstract
We give a criterion to differentiate between dissipative and diffusive quantum operations. It is based on the classical idea that dissipative processes contract volumes in phase space. We define a quantity that can be regarded as ``quantum phase space contraction rate'' and which is related to a fundamental property of quantum channels: non-unitality. We relate it to other properties of the channel and also show a simple example of dissipative noise composed with a chaotic map. The emergence of attaractor-like structures is displayed.
{
"annotation_id": "bbbf5d81-5b15-4704-a5c6-ec2a30a68b10",
"date_created": "2026-03-02T18:02:20.648000Z",
"date_modified": "2026-03-02T18:02:20.648000Z",
"file_hash": "4b69ad3cd46a3c9e9839b42fad2dcad05b8afaaea8b69b5fd290a5eba046ed38",
"private": false,
"record": {
"abstract": "We give a criterion to differentiate between dissipative and diffusive\nquantum operations. It is based on the classical idea that dissipative\nprocesses contract volumes in phase space. We define a quantity that can be\nregarded as ``quantum phase space contraction rate\u0027\u0027 and which is related to a\nfundamental property of quantum channels: non-unitality. We relate it to other\nproperties of the channel and also show a simple example of dissipative noise\ncomposed with a chaotic map. The emergence of attaractor-like structures is\ndisplayed.",
"arxiv_id": "quant-ph/0508190",
"authors": [
"Ignacio Garcia-Mata",
"Marcos Saraceno",
"Maria Elena Spina",
"Gabriel Carlo"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevA.72.062315",
"journal_ref": "Phys. Rev. A 72, 062315 (2005)",
"title": "Phase space contraction and quantum operations",
"url": "https://arxiv.org/abs/quant-ph/0508190"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "92a65d05-ad74-4a62-8ed5-632774d17f97",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}