dorsal/arxiv
View SchemaA Quantum Langevin Formulation of Risk-Sensitive Optimal Control
| Authors | M. R. James |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412091 |
| URL | https://arxiv.org/abs/quant-ph/0412091 |
| DOI | 10.1088/1464-4266/7/10/002 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S198--S207 |
Abstract
In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which we call a risk-sensitive state, that represents measurement knowledge tempered by the control purpose. One of the two components of the optimal controller is dynamic, a filter that computes the risk-sensitive state. The second component is an optimal control feedback function that is found by solving the dynamic programming equation. The optimal controller can be implemented using classical electronics. The ideas are illustrated using an example of feedback control of a two-level atom.
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"abstract": "In this paper we formulate a risk-sensitive optimal control problem for\ncontinuously monitored open quantum systems modelled by quantum Langevin\nequations. The optimal controller is expressed in terms of a modified\nconditional state, which we call a risk-sensitive state, that represents\nmeasurement knowledge tempered by the control purpose. One of the two\ncomponents of the optimal controller is dynamic, a filter that computes the\nrisk-sensitive state.\n The second component is an optimal control feedback function that is found by\nsolving the dynamic programming equation. The optimal controller can be\nimplemented using classical electronics.\n The ideas are illustrated using an example of feedback control of a two-level\natom.",
"arxiv_id": "quant-ph/0412091",
"authors": [
"M. R. James"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/7/10/002",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 7 (2005) S198--S207",
"title": "A Quantum Langevin Formulation of Risk-Sensitive Optimal Control",
"url": "https://arxiv.org/abs/quant-ph/0412091"
},
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