Southwest Quantum Information and Technology

Dissipative quantum state preparation with quasi-local resources

Lorenza Viola, Dartmouth College

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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 the analysis and synthesis of quasi-local open-system dynamics that admits a desired quantum state as its unique asymptotically stable state, with focus on continuous-time Markovian dynamics and entangled target states. In particular, after reviewing existing necessary and sufficient conditions for quasi-local stabilization of a pure state, I will discuss the additional challenges that the stabilization problem entails for a general mixed target state, and present recent rigorous results for a natural class of frustration-free Lindblad dynamics.