dorsal/arxiv
View SchemaFeedback control of quantum state reduction
| Authors | Ramon van Handel, John K. Stockton, Hideo Mabuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0402136 |
| URL | https://arxiv.org/abs/quant-ph/0402136 |
| DOI | 10.1109/TAC.2005.849193 |
| Journal | IEEE Trans. Automat. Control 50 (6), 768-780, 2005. |
Abstract
Feedback control of quantum mechanical systems must take into account the probabilistic nature of quantum measurement. We formulate quantum feedback control as a problem of stochastic nonlinear control by considering separately a quantum filtering problem and a state feedback control problem for the filter. We explore the use of stochastic Lyapunov techniques for the design of feedback controllers for quantum spin systems and demonstrate the possibility of stabilizing one outcome of a quantum measurement with unit probability.
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"abstract": "Feedback control of quantum mechanical systems must take into account the\nprobabilistic nature of quantum measurement. We formulate quantum feedback\ncontrol as a problem of stochastic nonlinear control by considering separately\na quantum filtering problem and a state feedback control problem for the\nfilter. We explore the use of stochastic Lyapunov techniques for the design of\nfeedback controllers for quantum spin systems and demonstrate the possibility\nof stabilizing one outcome of a quantum measurement with unit probability.",
"arxiv_id": "quant-ph/0402136",
"authors": [
"Ramon van Handel",
"John K. Stockton",
"Hideo Mabuchi"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"math.OC"
],
"doi": "10.1109/TAC.2005.849193",
"journal_ref": "IEEE Trans. Automat. Control 50 (6), 768-780, 2005.",
"title": "Feedback control of quantum state reduction",
"url": "https://arxiv.org/abs/quant-ph/0402136"
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