Averaging simplifies optimal population transfer problems

Averaging simplifies optimal population transfer problems

We consider energy-optimal population transfer problems for isolated finite dimensional quantum systems. In the limit when the transfer time is large compared to the time scale of the free dynamics, we show how the associated two-point boundary-value problem (TPBVP) can be reduced to a corresponding...

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Bibliographische Detailangaben
Hauptverfasser: Grivopoulos, S., Bamieh, B.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Algebra
Chemistry
Control systems
Controllability
Equations
Optimal control
Quantum computing
Size control
Size measurement
Time measurement
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Beschreibung
Zusammenfassung:We consider energy-optimal population transfer problems for isolated finite dimensional quantum systems. In the limit when the transfer time is large compared to the time scale of the free dynamics, we show how the associated two-point boundary-value problem (TPBVP) can be reduced to a corresponding "averaged" TPBVP where the free dynamics has been averaged over. This approach offers significant computational and conceptual advantages to the solution of such problems
ISSN:0191-2216
DOI:10.1109/CDC.2006.377174