Lorenza Viola: Fixed-point Engineering in Quasi-local Open-system Dynamics
0Lorenza Viola (Dartmouth College)
Fixed-point Engineering in Quasi-local Open-system Dynamics
QuICS Workshop on the Frontiers of Quantum Information and Computer Science (October 1, 2015)
Techniques for quantum reservoir and dissipation engineering are playing an increasingly important role in controlling open quantum systems. Implications range from dissipative quantum state preparation and quantum computation, to non-equilibrium quantum phases of matter and quantum thermodynamics.
In this talk, I will describe progress toward developing a general control-theoretic framework for designing open quantum system dynamics that admits a desired (pure or mixed) quantum state as its unique fixed point, subject to physical quasi-locality constraints.
In particular, I will present rigorous results and illustrative examples for asymptotic dissipative state preparation using a natural class of frustration-free Lindblad dynamics. Time permitting, I will also describe ongoing work on discrete-time dynamics, in which case the possibility of finite-time stabilization additionally arises.
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