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| HAL: hal-00683461, version 1 |
| DOI: 10.1109/CDC.2011.6160433 |
| Detailed view |  Export this paper |
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| CDC-ECC 2011 : 50th IEEE Conference on Decision and Control and European Control Conference, Orlando : États-Unis (2011) |
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| Design of strict control-Lyapunov functions for Quantum systems with QND measurements |
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| Hadis Amini 1Pierre Rouchon 1 |
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| (2012-03-01) |
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| We consider discrete-time quantum systems subject to Quantum Non-Demolition (QND) measurements and controlled by an adjustable unitary evolution between two successive QND measures. In open-loop, such QND measurements provide a non-deterministic preparation tool exploiting the back-action of the measurement on the quantum state. We propose here a systematic method based on elementary graph theory and inversion of Laplacian matrices to construct strict control-Lyapunov functions. This yields an appropriate feedback law that stabilizes globally the system towards a chosen target state among the open-loop stable ones, and that makes in closed-loop this preparation deterministic. We illustrate such feedback laws through simulations corresponding to an experimental setup with QND photon counting. |
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| 1: | Centre Automatique et Systèmes (CAS) |
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MINES ParisTech - École nationale supérieure des mines de Paris |
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| 2: | SISYPHE (SIgnals and SYstems in PHysiology and Engineering) (INRIA Rocquencourt) |
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INRIA |
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| Subject | : | Engineering Sciences/Automatic |
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| hal-00683461, version 1 | |
| http://hal-ensmp.archives-ouvertes.fr/hal-00683461 | |
| oai:hal-ensmp.archives-ouvertes.fr:hal-00683461 | |
| From: François Chaplais | |
| Submitted on: Wednesday, 28 March 2012 17:46:32 | |
| Updated on: Thursday, 12 April 2012 15:29:23 | |
