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QI: Fachverband Quanteninformation

QI 31: Decoherence and Open Quantum Systems

QI 31.1: Talk

Friday, March 22, 2024, 09:30–09:45, HFT-FT 101

Do Quantum Dynamics Admit Dynamic Kraus Operators? — •Frederik vom Ende — Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, Arnimallee 14, 14195 Berlin, Germany

We tackle the - curiously, still open - question of whether any quantum dynamics admit dynamic Kraus operators that are continuous in time. Our contribution is a result which states that all Lipschitz-continuous dynamics can be approximated arbitrarily well using analytic Kraus operators; equivalently, the partial trace over analytic paths of unitaries can approximate all quantum dynamics. This generalizes a recent result stating that analytic quantum dynamics can be represented exactly as the reduction of unitary dynamics generated by a time-dependent Hamiltonian. This talk is based on arXiv:2306.03667

Keywords: quantum dynamics; Kraus operators; Stinespring dilation; Stinespring curve; system-environment quantities