Topological Phases and Optimal Control in Arrays of Superconducting Qubits

Explore the fascinating world of quantum physics in this 1-hour 19-minute lecture on topological phases and optimal control in superconducting qubit arrays. Delve into the powerful concepts of geometry and quantum geometric tensor, examining their applications in various quantum phenomena. Discover how the imaginary part of this tensor, known as Berry curvature, influences wavepacket motion and leads to the emergence of topological states. Learn about the real part of the quantum geometric tensor, which yields quantum metric and its practical applications in optimal control of quantum systems. Gain insights into a simple model of a superconducting quantum processor based on coupled qubit arrays, as the speaker introduces these concepts and discusses their implementation in cutting-edge quantum technology.