001016754 001__ 1016754
001016754 005__ 20231025202029.0
001016754 020__ $$a978-3-95806-720-2
001016754 0247_ $$2datacite_doi$$a10.34734/FZJ-2023-03740
001016754 037__ $$aFZJ-2023-03740
001016754 1001_ $$0P:(DE-Juel1)176109$$aLagemann, Hannes$$b0$$eCorresponding author$$ufzj
001016754 245__ $$aReal-time simulations of transmon systems with time-dependent Hamiltonian models$$f - 2023-10-25
001016754 260__ $$aJülich$$bForschungszentrum Jülich GmbH Zentralbibliothek, Verlag$$c2023
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001016754 4900_ $$aSchriften des Forschungszentrums Jülich IAS Series$$v56
001016754 502__ $$aDissertation, RWTH Aachen University, 2023$$bDissertation$$cRWTH Aachen University$$d2023
001016754 520__ $$aIn this thesis we study aspects of Hamiltonian models which can affect the time evolution of transmon systems. We model the time evolution of various systems as a unitary real-time process by numerically solving the timedependent Schrödinger equation (TDSE). We denote the corresponding computer models as non-ideal gate-based quantum computer (NIGQC) models since transmons are usually used as transmon qubits in superconducting prototype gate-based quantum computers (PGQCs). We first review the ideal gate-based quantum computer (IGQC) modeland provide a distinction between the IGQC, PGQCs and the NIGQC models we consider in this thesis. Then, we derive the circuit Hamiltonians which generate the dynamics of fixed-frequency and  flux-tunable transmons. Furthermore, we also provide clear and concise derivations of effective Hamiltonians for both types of transmons. ...
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