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

TL;DR

This paper introduces an efficient method for designing optimal control sequences in non-Markovian open quantum systems, enabling low-cost repeated simulations crucial for quantum device optimization.

Contribution

It modifies the TEMPO method to allow rapid computation of system evolution under different control parameters, facilitating optimal control in complex quantum environments.

Findings

Enables efficient optimization of control pulses for quantum dots.

Reduces computational cost for simulating non-Markovian dynamics.

Applicable to solid state quantum devices with strong environment coupling.

Abstract

We present a general method to efficiently design optimal control sequences for non-Markovian open quantum systems, and illustrate it by optimizing the shape of a laser pulse to prepare a quantum dot in a specific state. The optimization of control procedures for quantum systems 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 optimal control problems, in particular in solid state quantum devices where the coupling to vibrational modes is typically strong.