Short Course on: An Introduction to Modeling and Control of Open Quantum Systems
Time: From May 30 to June 3, 2016, 10:00 a.m. - 12:00 p.m.
Classrooms: 工控新楼105（May 30），智能系统与控制研究所 | 教十八223教室（May 31, June 1, June 2）
Pierre Rouchon, Centre Automatique et Systèmes, Mines - ParisTech, PSL Research University
Quantum control is an emerging research subject with an increasing role in technologies related to high precision metrology, quantum information and communication. Its development requires to reconsider how measurement, control, and interactions fundamentally affect a system --- in particular, the intrinsic invasive character of measurements. This course presents some modern tools for controlling quantum systems, i.e.~steering a system to a quantum state and stabilizing it against decoherence (dissipation of quantum information through the coupling of the system to its uncontrolled environment). These tools will be illustrated by recent feedback experiments in cavity and circuit quantum electrodynamics.
The context throughout is that of systems of ordinary and stochastic differential equations. The level will be that of a graduate course intended for a general control audience without any prerequisites in quantum mechanics. The lectures consider the following topics:
- Introduction to quantum mechanics based on the two-level system (quantum bit) and the harmonic oscillator. May 30
- Dynamical models: Markov chains, Kraus maps, quantum stochastic master equations and Lindblad differential equations. May 31
- Stabilization scheme relying on measurement-based feedback and Lyapunov techniques. June 1
- Stabilization scheme relying on dissipation engineering and coherent feedback. June 2