Efficient exploration of Hamiltonian parameter space for optimal control of non-Markovian open quantum systems

We present a general method to efficiently design quantum control procedures for non-Markovian problems and illustrate it by optimizing the shape of a laser pulse to prepare a quantum dot in a specific state. The optimization of open quantum system dynamics with strong coupling to structured environments -- where time-local descriptions fail -- is a computationally challenging task. We modify the numerically exact time evolving matrix product operator (TEMPO) method, such that it allows the repeated computation of the time evolution of the reduced system density matrix for various sets of control parameters at very low computational cost. This method is potentially useful for studying numerous quantum optimal control problems, in particular in solid state quantum devices where the coupling to vibrational modes is typically strong.