Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe

Abstract

Quantum optimal control, a toolbox for devising and implementing the shapes of external fields that accomplish given tasks in the operation of a quantum device in the best way possible, has evolved into one of the cornerstones for enabling quantum technologies. The last few years have seen a rapid evolution and expansion of the field. We review here recent progress in our understanding of the controllability of open quantum systems and in the development and application of quantum control techniques to quantum technologies. We also address key challenges and sketch a roadmap for future developments.

Optimal control for state preparation in two-qubit open quantum systems driven by coherent and incoherent controls via GRAPE approach

“…Quantum control which aims to manipulate individual quantum systems is an important tool necessary for development of modern quantum technologies [1,2]. In real experimental applications, controlled quantum systems are typically open, that is, interacting with their environment.…”

Controlling the uncontrollable: Quantum control of open-system dynamics

“…This is achieved by applying coherent control fields that orchestrate the interference of quantum amplitudes, i.e., quantum coherence ( 1 , 2 ). Coherent control has been successfully applied for a variety of tasks ( 3 ), with recent emphasis on quantum technology ( 4 ). However, the key ingredient, coherence, remains extremely sensitive to any external perturbation.…”

Minimal action control method in quantum critical models

“…Achieving robust control of many-body quantum systems stands as an important step in order to fully realise quantum enhanced technologies [1,2]. One natural approach involves exploiting adiabatic dynamics, where the system is manipulated sufficiently slowly that undesirable excitations are suppressed.…”

“…Recently, significant steps have been taken in developing means to address this problem using the suite of tools from shortcuts to adiabaticity [3,4] and optimal control theory [2,5]. The former, in particular, has been applied to several genuinely many-body systems and can achieve perfect control on arbitrarily short times [6,7].…”