Luke Mortimer - Certifying steady-state properties of open quantum systems

Certifying steady-state properties of open quantum systems

Ce séminaire, donné par Luke Mortimer, aura lieu le 17 April 2025, à 14:0. Il aura lieu en salle Not specified.

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Résumé

In this talk, I’ll discuss how to use convex optimisation techniques to determine what happens in open quantum systems when they settle into a steady state, more specifically using a hierarchy of semidefinite programs to get certified bounds on any observable over such states. I’ll then show how this can be applied to a variety of many-body systems, like one-dimensional chains up to hundreds of qubits and some two-dimensional systems. Even with only moderate computational effort, our bounds are nearly as precise as the best variational methods, making this a practical tool for exploring steady-state properties in large quantum systems.