Physics – Quantum Physics
Scientific paper
2011-03-28
Physics
Quantum Physics
19 pages, many figures
Scientific paper
10.1088/1367-2630/13/7/073029
Efficient algorithms for the discovery of optimal control designs for coherent control of quantum processes are of fundamental importance. One important class of algorithms are sequential update algorithms generally attributed to Krotov. Although widely and often successfully used, the associated theory is often involved and leaves many crucial questions unanswered, from the monotonicity and convergence of the algorithm to discretization effects, leading to the introduction of ad-hoc penalty terms and suboptimal update schemes detrimental to the performance of the algorithm. We present a general framework for sequential update algorithms including specific prescriptions for efficient update rules with inexpensive dynamic search length control, taking into account discretization effects and eliminating the need for ad-hoc penalty terms. The latter, while necessary to regularize the problem in the limit of infinite time resolution, i.e., the continuum limit, are shown to be undesirable and unnecessary in the practically relevant case of finite time resolution. Numerical examples show that the ideas underlying many of these results extend even beyond what can be rigorously proved.
Fouquieres Pierre de
~Schirmer Sophie G.
No associations
LandOfFree
Efficient Algorithms for Optimal Control of Quantum Dynamics: The "Krotov'' Method unencumbered does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Efficient Algorithms for Optimal Control of Quantum Dynamics: The "Krotov'' Method unencumbered, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Efficient Algorithms for Optimal Control of Quantum Dynamics: The "Krotov'' Method unencumbered will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-707966