## Department Colloquium

### Friday, September 14th, 2018

**Time:** 2:30 p.m. **Place:** Jeffery Hall 234

**Speaker:** Anthony Bloch (University of Michigan)

**Title:** Control and Geometry of Quantum systems with Dissipation

**Abstract: ** In this talk we discuss aspects of the mathematics, control and geometry of quantum control systems interacting with their environment. In particular we discuss the control of a finite-dimensional dissipative Lindblad system by considering its orbit and interorbit dynamics. This entails considering the geometry of the system and its unitary orbits, the structure of the Lindblad operator, and the convexity associated with the density equation. Applications are given to constructing pure states. We discuss controllability and also discuss optimality and optimal control in this setting.

**Anthony Bloch (University of Michigan):** Anthony M. Bloch is the Alexander Ziwet Collegiate Professor of Mathematics and current department chair at the University of Michigan. He received his B.Sc.~in Applied Mathematics and Physics from the University of the Witwatersrand, Johannesburg, an M.~S.~in Physics from CalTech, an M.~Phil in Control Theory and Operations Research from Cambridge and a Ph.~D in Applied Mathematics from Harvard. He has received many awards including a Presidential Young Investigator Award, a Guggenheim Fellowship and a Simons Fellowship and is Fellow of the IEEE, SIAM and the AMS.