Control of Quantum Systems: Comparison of Different Techniques by the Example of Charge and Spin Semiconductor Qubits.

The semiconducting technologies appear to be an ideal platform to construct quantum systems, inheriting the classical silicon techniques and controllable circuits, and exploiting the quantum nature of confined particles. Meanwhile, quantum optimal control algorithms have been proven to be an efficient tool to assist quantum system manipulation, quantum computing and quantum applications. In this paper, we review some of the main quantum optimal control algorithms in closed quantum systems, and we explore their implementation to charge and spin-based semiconductor qubits. In addition, we propose a bang-bang control algorithm and we examine its performance in selected case studies.