dorsal/arxiv
View SchemaMixed state non-Abelian holonomy for subsystems
| Authors | Mikael Nordling, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0404162 |
| URL | https://arxiv.org/abs/quant-ph/0404162 |
| DOI | 10.1103/PhysRevA.71.012110 |
| Journal | Phys. Rev. A 71, 012110 (2005) |
Abstract
Non-Abelian holonomy in dynamical systems may arise in adiabatic transport of energetically degenerate sets of states. We examine such a holonomy structure for mixtures of energetically degenerate quantal states. We demonstrate that this structure has a natural interpretation in terms of the standard Wilczek-Zee holonomy associated with a certain class of Hamiltonians that couple the system to an ancilla. The mixed state holonomy is analysed for holonomic quantum computation using ion traps.
{
"annotation_id": "2c0588c1-e621-4205-b3d4-eb173d37d3e6",
"date_created": "2026-03-02T18:02:06.589000Z",
"date_modified": "2026-03-02T18:02:06.589000Z",
"file_hash": "be01bea7eb0262407f98dd3498e3199a681a71dc6a37cec5d3e1c06743da59dd",
"private": false,
"record": {
"abstract": "Non-Abelian holonomy in dynamical systems may arise in adiabatic transport of\nenergetically degenerate sets of states. We examine such a holonomy structure\nfor mixtures of energetically degenerate quantal states. We demonstrate that\nthis structure has a natural interpretation in terms of the standard\nWilczek-Zee holonomy associated with a certain class of Hamiltonians that\ncouple the system to an ancilla. The mixed state holonomy is analysed for\nholonomic quantum computation using ion traps.",
"arxiv_id": "quant-ph/0404162",
"authors": [
"Mikael Nordling",
"Erik Sj\u00f6qvist"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012110",
"journal_ref": "Phys. Rev. A 71, 012110 (2005)",
"title": "Mixed state non-Abelian holonomy for subsystems",
"url": "https://arxiv.org/abs/quant-ph/0404162"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8227f5ff-5452-4c2d-bb27-84e1c94d7f47",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}