Book/Dissertation / PhD Thesis

FZJ-2023-03740

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Real-time simulations of transmon systems with time-dependent Hamiltonian models

Lagemann, H. (Corresponding author)FZJ*

2023
Forschungszentrum Jülich GmbH Zentralbibliothek, Verlag Jülich
ISBN: 978-3-95806-720-2

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Please use a persistent id in citations: doi:10.34734/FZJ-2023-03740

Abstract: 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. ...

Note: Dissertation, RWTH Aachen University, 2023

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 899 - ohne Topic (POF4-899) (POF4-899)

Appears in the scientific report 2023

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