Publication: Optimal generation of Fock states in a weakly nonlinear oscillator
All || By Area || By Year| Title | Optimal generation of Fock states in a weakly nonlinear oscillator | Authors/Editors* | B. Khani, J. M. Gambetta, F. Motzoi, F. K. Wilhelm |
|---|---|
| Where published* | Physica Scripta |
| How published* | Journal |
| Year* | 2009 |
| Volume | T137 |
| Number | |
| Pages | 014021 |
| Publisher | |
| Keywords | |
| Link | |
| Abstract |
We apply optimal control theory to determine the shortest time in which an energy eigenstate of a weakly anharmonic oscillator can be created under the practical constraint of linear driving. We show that the optimal pulses are beatings of mostly the transition frequencies for the transitions up to the desired state and the next leakage level. The time of the shortest possible pulse for a given nonlinearity scales with the nonlinearity parameter δ as a power law δâα with α0.73±0.029. This is a qualitative improvement relative to the value α=1 suggested by a simple LandauâZener argument. |
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