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QI: Fachverband Quanteninformation
QI 17: Decoherence and Open Systems II
QI 17.6: Vortrag
Donnerstag, 12. März 2026, 16:15–16:30, BEY/0137
Closed-Form approximation of Kraus operators for GKSL dynamics in the weak-noise regime — •Shahrukh Chishti1,2, Francisco Cardenas-Lopez1, and Felix Motzoi1,2 — 1Forschungszentrum Juelich GmbH, Peter Gruenberg Institute, Quantum Control (PGI-8), 52425 Juelich, Germany — 2Institute for Theoretical Physics, University of Cologne, D-50937 Cologne, Germany
Quantum system interacts unavoidably with the surrounding environment leading to decoherence and thermalization. The dynamics of an open quantum system is equivalently represented with the GKSL equation or the Kraus operators that includes the effects of the environment. For a general noise channel, it is difficult to obtain the Kraus operators from the Lindbladian and vice-versa. We derive a closed-form approximation of the Kraus operators for the GKSL dynamics by employing two approximations; first, weak noise limit of the dynamical map and then discretizing this map via a Riemann summation. Further, this technique could be extended to higher orders in evolution and time-dependent Hamiltonians. These results provide insight into the interaction between noise and coherent dynamics.
Keywords: Lindbladian; Kraus Decomposition; Quantum Control; Open Quantum Systems