TY - JOUR
T1 - Controlling quantum phenomena
T2 - Why does it appear easy to achieve?
AU - Rabitz, Herschel
N1 - Funding Information:
The author acknowledges support from the Department of Energy.
PY - 2004
Y1 - 2004
N2 - The introduction of optimal control theory and associated optimal control experiments have produced many successful results for manipulating quantum systems including those of high complexity. These findings may appear surprising as hundreds of control variables are simultaneously searched to optimize a typical objective. This paper discusses the reason for this attractive behaviour, revealing that the origin lies in the quantum system simply being controllable and undergoing unitary evolution. Under satisfaction of these conditions, the search space landscape for maximizing the probability of making a quantum transition is shown to have no false extrema. Although real systems may not be fully controllable, this result provides the basis to explain the generally successful findings from quantum optimal control simulations and experiments, as well as provides a very positive projection of the future for the field.
AB - The introduction of optimal control theory and associated optimal control experiments have produced many successful results for manipulating quantum systems including those of high complexity. These findings may appear surprising as hundreds of control variables are simultaneously searched to optimize a typical objective. This paper discusses the reason for this attractive behaviour, revealing that the origin lies in the quantum system simply being controllable and undergoing unitary evolution. Under satisfaction of these conditions, the search space landscape for maximizing the probability of making a quantum transition is shown to have no false extrema. Although real systems may not be fully controllable, this result provides the basis to explain the generally successful findings from quantum optimal control simulations and experiments, as well as provides a very positive projection of the future for the field.
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U2 - 10.1080/09500340408231805
DO - 10.1080/09500340408231805
M3 - Article
AN - SCOPUS:10944228806
SN - 0950-0340
VL - 51-16
SP - 2469
EP - 2475
JO - Journal of Modern Optics
JF - Journal of Modern Optics
IS - 18
ER -