dorsal/arxiv
View SchemaConstructive control of quantum systems using factorization of unitary operators
| Authors | S. G. Schirmer, A. D. Greentree, V. Ramakrishna, H. Rabitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211042 |
| URL | https://arxiv.org/abs/quant-ph/0211042 |
| DOI | 10.1088/0305-4470/35/39/313 |
| Journal | J. Phys. A 35, 8315--8339 (2002) |
Abstract
We demonstrate how structured decompositions of unitary operators can be employed to derive control schemes for finite-level quantum systems that require only sequences of simple control pulses such as square wave pulses with finite rise and decay times or Gaussian wavepackets. To illustrate the technique it is applied to find control schemes to achieve population transfers for pure-state systems, complete inversions of the ensemble populations for mixed-state systems, create arbitrary superposition states and optimize the ensemble average of dynamic observables.
{
"annotation_id": "04855409-a461-4d1c-b532-8e193788205b",
"date_created": "2026-03-02T18:01:56.445000Z",
"date_modified": "2026-03-02T18:01:56.445000Z",
"file_hash": "6b020709fda177fad426da26e417e2ff47c95c297c2ef971c1eacc5e9e909739",
"private": false,
"record": {
"abstract": "We demonstrate how structured decompositions of unitary operators can be\nemployed to derive control schemes for finite-level quantum systems that\nrequire only sequences of simple control pulses such as square wave pulses with\nfinite rise and decay times or Gaussian wavepackets. To illustrate the\ntechnique it is applied to find control schemes to achieve population transfers\nfor pure-state systems, complete inversions of the ensemble populations for\nmixed-state systems, create arbitrary superposition states and optimize the\nensemble average of dynamic observables.",
"arxiv_id": "quant-ph/0211042",
"authors": [
"S. G. Schirmer",
"A. D. Greentree",
"V. Ramakrishna",
"H. Rabitz"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0305-4470/35/39/313",
"journal_ref": "J. Phys. A 35, 8315--8339 (2002)",
"title": "Constructive control of quantum systems using factorization of unitary operators",
"url": "https://arxiv.org/abs/quant-ph/0211042"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "1ef608a9-6b82-42d6-9189-882139989564",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}