dorsal/arxiv
View SchemaRisk-Sensitive Optimal Control of Quantum Systems
| Authors | M. R. James |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0302136 |
| URL | https://arxiv.org/abs/quant-ph/0302136 |
| DOI | 10.1103/PhysRevA.69.032108 |
| Journal | Physical Review A, 69, 032108 (2004) |
Abstract
The importance of feedback control is being increasingly appreciated in quantum physics and applications. This paper describes the use of optimal control methods in the design of quantum feedback control systems, and in particular the paper formulates and solves a risk-sensitive optimal control problem. The resulting risk-sensitive optimal control is given in terms of a new unnormalized conditional state, whose dynamics include the cost function used to specify the performance objective. The risk-sensitive conditional dynamic equation describes the evolution of our {\em knowledge} of the quantum system tempered by our {\em purpose} for the controlled quantum system. Robustness properties of risk-sensitive controllers are discussed, and an example is provided.
{
"annotation_id": "ce14ebc7-38ef-4257-b91d-6d63b44a3cb9",
"date_created": "2026-03-02T18:01:56.062000Z",
"date_modified": "2026-03-02T18:01:56.062000Z",
"file_hash": "33b8b5c5e0a194411725853c00b4d7ba92c355292cd67f71d8cc03904370076a",
"private": false,
"record": {
"abstract": "The importance of feedback control is being increasingly appreciated in\nquantum physics and applications. This paper describes the use of optimal\ncontrol methods in the design of quantum feedback control systems, and in\nparticular the paper formulates and solves a risk-sensitive optimal control\nproblem. The resulting risk-sensitive optimal control is given in terms of a\nnew unnormalized conditional state, whose dynamics include the cost function\nused to specify the performance objective. The risk-sensitive conditional\ndynamic equation describes the evolution of our {\\em knowledge} of the quantum\nsystem tempered by our {\\em purpose} for the controlled quantum system.\nRobustness properties of risk-sensitive controllers are discussed, and an\nexample is provided.",
"arxiv_id": "quant-ph/0302136",
"authors": [
"M. R. James"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.69.032108",
"journal_ref": "Physical Review A, 69, 032108 (2004)",
"title": "Risk-Sensitive Optimal Control of Quantum Systems",
"url": "https://arxiv.org/abs/quant-ph/0302136"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bdfba4a3-8067-448f-bc06-6b06cbe33258",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}