TY  - THES
AU  - Lagemann, Hannes
TI  - Real-time simulations of transmon systems with time-dependent Hamiltonian models
VL  - 56
PB  - RWTH Aachen University
VL  - Dissertation
CY  - Jülich
M1  - FZJ-2023-03740
SN  - 978-3-95806-720-2
T2  - Schriften des Forschungszentrums Jülich IAS Series
SP  - iii, 166, XXX
PY  - 2023
N1  - Dissertation, RWTH Aachen University, 2023
AB  - 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. ...
LB  - PUB:(DE-HGF)3 ; PUB:(DE-HGF)11
DO  - DOI:10.34734/FZJ-2023-03740
UR  - https://juser.fz-juelich.de/record/1016754
ER  -