Errors in quantum optimal control and strategy for the search of easily implementable control pulses

Antonio Negretti (1) , Rosario Fazio (2, 3) , Tommaso Calarco (1)

1 Institute for Quantum Information Processing
2 NEST
3 CQT - Centre for Quantum Technologies [Singapore]

We introduce a new approach to assess the error of control problems we aim to optimize. The method offers a strategy to define new control pulses that are not necessarily optimal but still able to yield an error not larger than some fixed a priori threshold, and therefore provide control pulses that might be more amenable for an experimental implementation. The formalism is applied to an exactly solvable model and to the Landau-Zener model, whose optimal control problem is solvable only numerically. The presented method is of importance for any application where a high degree of controllability of the quantum system dynamics is required.

Mots clés: Physical Sciences

Antonio Negretti, Rosario Fazio, Tommaso Calarco. Errors in quantum optimal control and strategy for the search of easily implementable control pulses. Journal of Physics B: Atomic, Molecular and Optical Physics, 2011, 44 (15), pp.154012. ⟨10.1088/0953-4075/44/15/154012⟩. ⟨hal-00642384⟩