dorsal/arxiv
View SchemaImpact of positivity and complete positivity on accessibility of Markovian dynamics
| Authors | Raffaele Romano |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509041 |
| URL | https://arxiv.org/abs/quant-ph/0509041 |
| DOI | 10.1088/0305-4470/38/41/018 |
| Journal | J. Phys. A: Math. Gen. 38 (2005) 9105-9114 |
Abstract
We consider a two-dimensional quantum control system evolving under an entropy-increasing irreversible dynamics in the semigroup form. Considering a phenomenological approach to the dynamics, we show that the accessibility property of the system depends on whether its evolution is assumed to be positive or completely positive. In particular, we characterize the family of maps having different accessibility and show the impact of that property on observable quantities by means of a simple physical model.
{
"annotation_id": "5dbde005-2956-4251-bada-31b2a3737984",
"date_created": "2026-03-02T18:02:19.483000Z",
"date_modified": "2026-03-02T18:02:19.483000Z",
"file_hash": "4d88968565625ca25463202fa73bbb08cd88e251b0187100c7916a8006eb378d",
"private": false,
"record": {
"abstract": "We consider a two-dimensional quantum control system evolving under an\nentropy-increasing irreversible dynamics in the semigroup form. Considering a\nphenomenological approach to the dynamics, we show that the accessibility\nproperty of the system depends on whether its evolution is assumed to be\npositive or completely positive. In particular, we characterize the family of\nmaps having different accessibility and show the impact of that property on\nobservable quantities by means of a simple physical model.",
"arxiv_id": "quant-ph/0509041",
"authors": [
"Raffaele Romano"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/38/41/018",
"journal_ref": "J. Phys. A: Math. Gen. 38 (2005) 9105-9114",
"title": "Impact of positivity and complete positivity on accessibility of Markovian dynamics",
"url": "https://arxiv.org/abs/quant-ph/0509041"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "27cca399-b09d-42e8-8ac8-7e140aac65f2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}