dorsal/arxiv
View SchemaOptimal Control of Quantum Systems and a Generalized Level Set Method
| Authors | Fariel Shafee |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0411160 |
| URL | https://arxiv.org/abs/quant-ph/0411160 |
Abstract
We study the application of a generalized form of the level set method used in classical physical contexts to quantum optimal control situations. The set of OCT equations needed to keep the expectation value of an observable constant is first discussed and the dimensionality of the actual parameter space carefully considered. Then we see how concepts of level set methods emerge that may help solve the inverse problem associated with designing the control Hamiltonian with greater speed. The formal equations and the algorithm are presented.
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"abstract": "We study the application of a generalized form of the level set method used\nin classical physical contexts to quantum optimal control situations. The set\nof OCT equations needed to keep the expectation value of an observable constant\nis first discussed and the dimensionality of the actual parameter space\ncarefully considered. Then we see how concepts of level set methods emerge that\nmay help solve the inverse problem associated with designing the control\nHamiltonian with greater speed. The formal equations and the algorithm are\npresented.",
"arxiv_id": "quant-ph/0411160",
"authors": [
"Fariel Shafee"
],
"categories": [
"quant-ph"
],
"title": "Optimal Control of Quantum Systems and a Generalized Level Set Method",
"url": "https://arxiv.org/abs/quant-ph/0411160"
},
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