Abstract
The optimal creation of a targeted unitary transformation W is considered under the influence of an external control field. The controlled dynamics produces the unitary transformation U and the goal is to seek a control field that minimizes the cost JU. The optimal control landscape is the cost J as a functional of the control field. For a controllable quantum system with N states and without restrictions placed on the controls, the optimal control landscape is shown to have extrema with N+1 possible distinct values, where the desired transformation at U=W is a minimum and the maximum value is at UW. The other distinct N1 extrema values of J are saddle points. The results of this analysis have significance for the practical construction of unitary transformations.
| Original language | American English |
|---|---|
| Article number | 052337 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 72 |
| Issue number | 5 |
| DOIs | |
| State | Published - Nov 2005 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
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