Seminar
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| Location: | SLMath: Online/Virtual, Baker Board Room |
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification
No Primary AMS MSC
Secondary Mathematics Subject Classification
No Secondary AMS MSC
We study optimal control problems where the observables are non commuting self adjoint operators. To illustrate how free probability allows to gain compactness, we rely on ex-amples such as the ones where the trajectories satisfy the so–called quantum Liouville equation. Under certain convexity assumptions, we show that the value of the optimal control problems
in the non-commutative setting, describes the large-n limit of control problems on tuples of self-adjoint matrices. (This talk is based on works in collaboration with D. Jekel, K. Nam and A. Palmer).