dorsal/arxiv
View SchemaCovariant Quantum Dynamical Semigroups: Unbounded generators
| Authors | A. S. Holevo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9701037 |
| URL | https://arxiv.org/abs/quant-ph/9701037 |
| DOI | 10.1007/BFb0106777 |
Abstract
A survey of the probabilistic approaches to quantum dynamical semigroups with unbounded generators is given. An emphasis is made upon recent advances in the structural theory of covariant Markovian master equations. The relations with the classical Levy-Khinchin formula are elucidated. As an example, a complete characterizations of the Galilean covariant irreversible quantum Markovian evolutions is given in terms of the corresponding quantum master and Langevin equations. Important topics for future investigation are outlined.
{
"annotation_id": "2d5343f2-e115-4be8-ad06-aa6c9723bebf",
"date_created": "2026-03-02T18:02:38.183000Z",
"date_modified": "2026-03-02T18:02:38.183000Z",
"file_hash": "96720c6d0068c94482fc53b37fe7121a82553e829f4599dfd9dd3db66a2a2b1a",
"private": false,
"record": {
"abstract": "A survey of the probabilistic approaches to quantum dynamical semigroups with\nunbounded generators is given. An emphasis is made upon recent advances in the\nstructural theory of covariant Markovian master equations. The relations with\nthe classical Levy-Khinchin formula are elucidated. As an example, a complete\ncharacterizations of the Galilean covariant irreversible quantum Markovian\nevolutions is given in terms of the corresponding quantum master and Langevin\nequations. Important topics for future investigation are outlined.",
"arxiv_id": "quant-ph/9701037",
"authors": [
"A. S. Holevo"
],
"categories": [
"quant-ph"
],
"doi": "10.1007/BFb0106777",
"title": "Covariant Quantum Dynamical Semigroups: Unbounded generators",
"url": "https://arxiv.org/abs/quant-ph/9701037"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "713d4c6a-902a-4833-ba6e-6a784837f63e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}