Abstract | ||
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We formulate the problem of efficient transport of a quantum particle trapped in a harmonic potential which can move with a bounded velocity, as a minimum-time problem on a linear system with bounded input. We completely solve the corresponding optimal control problem and obtain an interesting bang-bang solution, where the switching times are obtained from a transcendental equation. These results are expected to find applications in quantum information processing and atom interferometry. |
Year | DOI | Venue |
---|---|---|
2014 | 10.1109/TAC.2013.2273296 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Equations,Switches,Trajectory,Harmonic analysis,Optimal control,Eigenvalues and eigenfunctions,Oscillators | Journal | abs/1107.1691 |
Issue | ISSN | Citations |
3 | IEEE Transactions on Automatic Control 59 (3), 733 - 738, 2014 | 1 |
PageRank | References | Authors |
0.37 | 1 | 2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Dionisis Stefanatos | 1 | 18 | 12.46 |
Shin Li Jr. | 2 | 112 | 19.45 |