dorsal/arxiv
View SchemaBellman equations for optimal feedback control of qubit states
| Authors | Luc Bouten, Simon Edwards, V P Belavkin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0407192 |
| URL | https://arxiv.org/abs/quant-ph/0407192 |
| DOI | 10.1088/0953-4075/38/3/002 |
| Journal | J. Phys. B: At. Mol. Opt. Phys. 38 (2005) 151-160 |
Abstract
Using results from quantum filtering theory and methods from classical control theory, we derive an optimal control strategy for an open two-level system (a qubit in interaction with the electromagnetic field) controlled by a laser. The aim is to optimally choose the laser's amplitude and phase in order to drive the system into a desired state. The Bellman equations are obtained for the case of diffusive and counting measurements for vacuum field states. A full exact solution of the optimal control problem is given for a system with simpler, linear, dynamics. These linear dynamics can be obtained physically by considering a two-level atom in a strongly driven, heavily damped, optical cavity.
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"abstract": "Using results from quantum filtering theory and methods from classical\ncontrol theory, we derive an optimal control strategy for an open two-level\nsystem (a qubit in interaction with the electromagnetic field) controlled by a\nlaser. The aim is to optimally choose the laser\u0027s amplitude and phase in order\nto drive the system into a desired state. The Bellman equations are obtained\nfor the case of diffusive and counting measurements for vacuum field states. A\nfull exact solution of the optimal control problem is given for a system with\nsimpler, linear, dynamics. These linear dynamics can be obtained physically by\nconsidering a two-level atom in a strongly driven, heavily damped, optical\ncavity.",
"arxiv_id": "quant-ph/0407192",
"authors": [
"Luc Bouten",
"Simon Edwards",
"V P Belavkin"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0953-4075/38/3/002",
"journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 38 (2005) 151-160",
"title": "Bellman equations for optimal feedback control of qubit states",
"url": "https://arxiv.org/abs/quant-ph/0407192"
},
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