dorsal/arxiv
View SchemaQuantum control in infinite dimensions
| Authors | Witold Karwowski, R. Vilela Mendes |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311034 |
| URL | https://arxiv.org/abs/quant-ph/0311034 |
| DOI | 10.1016/j.physleta.2004.01.031 |
| Journal | Physics Letters A 322 (2004) 282-285 |
Abstract
Accurate control of quantum evolution is an essential requirement for quantum state engineering, laser chemistry, quantum information and quantum computing. Conditions of controllability for systems with a finite number of energy levels have been extensively studied. By contrast, results for controllability in infinite dimensions have been mostly negative, stating that full control cannot be achieved with a finite dimensional control Lie algebra. Here we show that by adding a discrete operation to a Lie algebra it is possible to obtain full control in infinite dimensions with a small number of control operators.
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"abstract": "Accurate control of quantum evolution is an essential requirement for quantum\nstate engineering, laser chemistry, quantum information and quantum computing.\nConditions of controllability for systems with a finite number of energy levels\nhave been extensively studied. By contrast, results for controllability in\ninfinite dimensions have been mostly negative, stating that full control cannot\nbe achieved with a finite dimensional control Lie algebra. Here we show that by\nadding a discrete operation to a Lie algebra it is possible to obtain full\ncontrol in infinite dimensions with a small number of control operators.",
"arxiv_id": "quant-ph/0311034",
"authors": [
"Witold Karwowski",
"R. Vilela Mendes"
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"doi": "10.1016/j.physleta.2004.01.031",
"journal_ref": "Physics Letters A 322 (2004) 282-285",
"title": "Quantum control in infinite dimensions",
"url": "https://arxiv.org/abs/quant-ph/0311034"
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