dorsal/arxiv
View SchemaSubspace preserving completely positive maps
| Authors | Johan Åberg |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302180 |
| URL | https://arxiv.org/abs/quant-ph/0302180 |
| DOI | 10.1016/j.aop.2004.04.013 |
| Journal | Annals of Physics Vol. 313, p. 326 (2004) |
Abstract
A class of quantum channels and completely positive maps (CPMs) are introduced and investigated. These, which we call subspace preserving (SP) CPMs has, in the case of trace preserving CPMs, a simple interpretation as those which preserve probability weights on a given orthogonal sum decomposition of the Hilbert space of a quantum system. Several equivalent characterizations of SP CPMs are proved and an explicit construction of all SP CPMs, is provided. For a subclass of the SP channels a construction in terms of joint unitary evolution with an ancilla system, is presented.
{
"annotation_id": "a4a2d805-f965-4f7f-bf42-8b57eacc820a",
"date_created": "2026-03-02T18:01:56.058000Z",
"date_modified": "2026-03-02T18:01:56.058000Z",
"file_hash": "5cb243fbfb32d915875afce123ff28fa797d2f91b82f5530c3e387db4f8c7296",
"private": false,
"record": {
"abstract": "A class of quantum channels and completely positive maps (CPMs) are\nintroduced and investigated. These, which we call subspace preserving (SP) CPMs\nhas, in the case of trace preserving CPMs, a simple interpretation as those\nwhich preserve probability weights on a given orthogonal sum decomposition of\nthe Hilbert space of a quantum system. Several equivalent characterizations of\nSP CPMs are proved and an explicit construction of all SP CPMs, is provided.\nFor a subclass of the SP channels a construction in terms of joint unitary\nevolution with an ancilla system, is presented.",
"arxiv_id": "quant-ph/0302180",
"authors": [
"Johan \u00c5berg"
],
"categories": [
"quant-ph"
],
"doi": "10.1016/j.aop.2004.04.013",
"journal_ref": "Annals of Physics Vol. 313, p. 326 (2004)",
"title": "Subspace preserving completely positive maps",
"url": "https://arxiv.org/abs/quant-ph/0302180"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "6bf23716-0b67-47a1-90bc-326fd46b68e1",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}