dorsal/arxiv
View SchemaOptical Holonomic Quantum Computation
| Authors | Demosthenes Ellinas, Jiannis Pachos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111075 |
| URL | https://arxiv.org/abs/quant-ph/0111075 |
Abstract
Holonomic quantum computation (HQC) is materialized here with quantum optics components. Holonomies are the generalization of the Berry phases to unitary matrices with dimensionality the same as the degree of degeneracy of the system. In a nonlinear Kerr medium the degenerate states of laser beams are interpreted as qubits. Control manipulations with displacers, squeezers and two-mode interfering devices performed in a cyclic, adiabatic fashion produce holonomies. Here, they are employed as logical gates for our HQC proposal. The effects of errors from imperfect control of classical parameters, the looping variation of which builds up holonomic gates, are investigated.
{
"annotation_id": "8718a3b0-589f-4bfa-b8b8-1cd4b77c7149",
"date_created": "2026-03-02T18:01:48.275000Z",
"date_modified": "2026-03-02T18:01:48.275000Z",
"file_hash": "684eb2272c5927714436f6a3c3d7bcda6437482996eb3df036aea7c27e01c690",
"private": false,
"record": {
"abstract": "Holonomic quantum computation (HQC) is materialized here with quantum optics\ncomponents. Holonomies are the generalization of the Berry phases to unitary\nmatrices with dimensionality the same as the degree of degeneracy of the\nsystem. In a nonlinear Kerr medium the degenerate states of laser beams are\ninterpreted as qubits. Control manipulations with displacers, squeezers and\ntwo-mode interfering devices performed in a cyclic, adiabatic fashion produce\nholonomies. Here, they are employed as logical gates for our HQC proposal. The\neffects of errors from imperfect control of classical parameters, the looping\nvariation of which builds up holonomic gates, are investigated.",
"arxiv_id": "quant-ph/0111075",
"authors": [
"Demosthenes Ellinas",
"Jiannis Pachos"
],
"categories": [
"quant-ph"
],
"title": "Optical Holonomic Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0111075"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ee36ffba-b77f-4858-909f-545c5166fac9",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}