dorsal/arxiv
View SchemaOptimal Quantum Feedback Control for Canonical Observables
| Authors | John Gough |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0504099 |
| URL | https://arxiv.org/abs/quant-ph/0504099 |
| Journal | Quantum Stochastics and Information: Statistics, Filtering & Control, pp. 262-279 Eds. M. Guta and V.P. Belavkin, World Scientific 2008 |
Abstract
We show that the stochastic Schrodinger equation for the filtered state of a system, with linear free dynamics, undergoing continual non-demolition measurement or either position or momentum, or both together, can be solved explicitly within a class of Gaussian states which we call extended coherent states. The asymptotic limit yields a class of relaxed states which we describe explicitly. Bellman's principle is then applied directly to optimal feedback control of such dynamical systems and the Hamilton Jacobi Bellman equation for the minimum cost is derived. The situation of quadratic performance criteria is treated as the important special case and solved exactly for the class of relaxed states.
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"abstract": "We show that the stochastic Schrodinger equation for the filtered state of a\nsystem, with linear free dynamics, undergoing continual non-demolition\nmeasurement or either position or momentum, or both together, can be solved\nexplicitly within a class of Gaussian states which we call extended coherent\nstates. The asymptotic limit yields a class of relaxed states which we describe\nexplicitly. Bellman\u0027s principle is then applied directly to optimal feedback\ncontrol of such dynamical systems and the Hamilton Jacobi Bellman equation for\nthe minimum cost is derived. The situation of quadratic performance criteria is\ntreated as the important special case and solved exactly for the class of\nrelaxed states.",
"arxiv_id": "quant-ph/0504099",
"authors": [
"John Gough"
],
"categories": [
"quant-ph"
],
"journal_ref": "Quantum Stochastics and Information: Statistics, Filtering \u0026\n Control, pp. 262-279 Eds. M. Guta and V.P. Belavkin, World Scientific 2008",
"title": "Optimal Quantum Feedback Control for Canonical Observables",
"url": "https://arxiv.org/abs/quant-ph/0504099"
},
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