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QI: Fachverband Quanteninformation

QI 10: Quantum Thermodynamics and Open Quantum Systems I

QI 10.4: Talk

Tuesday, March 7, 2023, 12:00–12:15, B302

Which Bath-Hamiltonians Matter for Thermal Operations? — •Frederik vom Ende — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

We explore the set of thermal operations from a mathematical and topological point of view. We introduce the concept of Hamiltonians with resonant spectrum with respect to some reference Hamiltonian, followed by proving that when defining thermal operations it suffices to only consider bath Hamiltonians which satisfy this resonance property. Moreover we find a semigroup representation of the (enhanced) thermal operations in two dimensions by characterizing any such operation via three real parameters, thus allowing for a visualization of this set. This allows us to specify all qubit thermal operations (without the closure). This talk is based on the article J. Math. Phys. 63, 112202 (2022)