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QI: Fachverband Quanteninformation

QI 34: Quantum Control I

QI 34.2: Vortrag

Donnerstag, 13. März 2025, 14:45–15:00, HS II

Distance to unreachability and quantum speed limits — •Marco Wiedmann and Daniel Burgarth — Friedrich-Alexander Universität Erlangen-Nürnberg

Quantum speed limits provide a fundamental lower bound on how fast quantum systems can evolve towards a given target. This is particularly interesting for applications in quantum control, where decoherence limits the time available to the experimentalist. We present lower bounds on the time needed to implement any given unitary operation in a given control system. The bound crucially depends on the size of the minimal perturbation to the control system that renders the target operation unreachable. Further, we extend the result to the use case of analogue quantum simulation by bounding the minimal time needed to simulate a given Hamiltonian time evolution in the worst case.

Keywords: Quantum Speed Limits; Quantum Control; Symmetries; Lie algebras