%0 Thesis
%A Lagemann, Hannes
%T Real-time simulations of transmon systems with time-dependent Hamiltonian models
%V 56
%I RWTH Aachen University
%V Dissertation
%C Jülich
%M FZJ-2023-03740
%@ 978-3-95806-720-2
%B Schriften des Forschungszentrums Jülich IAS Series
%P iii, 166, XXX
%D 2023
%Z Dissertation, RWTH Aachen University, 2023
%X In 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. ...
%F PUB:(DE-HGF)3 ; PUB:(DE-HGF)11
%9 BookDissertation / PhD Thesis
%R 10.34734/FZJ-2023-03740
%U https://juser.fz-juelich.de/record/1016754