dorsal/arxiv
View SchemaTime Optimal Control of Coupled Qubits Under Non-Stationary Interactions
| Authors | Haidong Yuan, Navin Khaneja |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502173 |
| URL | https://arxiv.org/abs/quant-ph/0502173 |
| DOI | 10.1103/PhysRevA.72.040301 |
| Journal | PhysRevA.72.040301,2005. |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite general and our results help to characterize the reachable set at all times for a class of bilinear control systems with time varying drift and unbounded control amplitude. These results are of fundamental interest in geometric control theory and have applications to control of coupled spins in solid state NMR spectroscopy.
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"abstract": "In this article, we give a complete characterization of all the unitary\ntransformations that can be synthesized in a given time for a system of coupled\nspin-1/2 in presence of general time varying coupling tensor. Our treatment is\nquite general and our results help to characterize the reachable set at all\ntimes for a class of bilinear control systems with time varying drift and\nunbounded control amplitude. These results are of fundamental interest in\ngeometric control theory and have applications to control of coupled spins in\nsolid state NMR spectroscopy.",
"arxiv_id": "quant-ph/0502173",
"authors": [
"Haidong Yuan",
"Navin Khaneja"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.72.040301",
"journal_ref": "PhysRevA.72.040301,2005.",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Time Optimal Control of Coupled Qubits Under Non-Stationary Interactions",
"url": "https://arxiv.org/abs/quant-ph/0502173"
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