dorsal/arxiv
View SchemaPhases of quantum states in completely positive non-unitary evolution
| Authors | J. G. Peixoto de Faria, A. F. R. de Toledo Piza, M. C. Nemes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205146 |
| URL | https://arxiv.org/abs/quant-ph/0205146 |
| DOI | 10.1209/epl/i2003-00440-4 |
| Journal | Europhysics Letters 62(6), 782 (2003) |
Abstract
We define an operational notion of phases in interferometry for a quantum system undergoing a completely positive non-unitary evolution. This definition is based on the concepts of quantum measurement theory. The suitable generalization of the Pancharatnan connection allows us to determine the dynamical and geometrical parts of the total phase between two states linked by a completely positive map. These results reduce to the knonw expressions of total, dynamical and geometrical phases for pure and mixed states evolving unitarily.
{
"annotation_id": "79bc0737-fef5-4e4b-874e-ddcc33892e67",
"date_created": "2026-03-02T18:01:52.880000Z",
"date_modified": "2026-03-02T18:01:52.880000Z",
"file_hash": "fcb43290e968eb011ebc0778d8d72d83d9a066b1a3dfae71668d8850592eacf6",
"private": false,
"record": {
"abstract": "We define an operational notion of phases in interferometry for a quantum\nsystem undergoing a completely positive non-unitary evolution. This definition\nis based on the concepts of quantum measurement theory. The suitable\ngeneralization of the Pancharatnan connection allows us to determine the\ndynamical and geometrical parts of the total phase between two states linked by\na completely positive map. These results reduce to the knonw expressions of\ntotal, dynamical and geometrical phases for pure and mixed states evolving\nunitarily.",
"arxiv_id": "quant-ph/0205146",
"authors": [
"J. G. Peixoto de Faria",
"A. F. R. de Toledo Piza",
"M. C. Nemes"
],
"categories": [
"quant-ph"
],
"doi": "10.1209/epl/i2003-00440-4",
"journal_ref": "Europhysics Letters 62(6), 782 (2003)",
"title": "Phases of quantum states in completely positive non-unitary evolution",
"url": "https://arxiv.org/abs/quant-ph/0205146"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8e2b36c2-ca38-42da-ba8e-b687a2f17595",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}