Several recent developments in estimation and robust control of quantum systems

Abstract

This paper summarizes several recent developments in the area of estimation and robust control of quantum systems and outlines several directions for future research. Quantum state tomography via linear regression estimation and adaptive quantum state estimation are introduced and a Hamiltonian identification algorithm is outlined. Two quantum robust control approaches including sliding mode control and sampling-based learning control are illustrated.Index Terms-Quantum system, quantum control, quantum state tomography, quantum system identification, quantum robust control.

Quantum estimation, control and learning: opportunities and challenges

“…We use the LRE method as an illustrative example to explain the challenges of quantum state estimation [84], [27]. Consider a quantum system consisting of n-qubits associated with Hilbert space…”