This thesis develops novel numerical techniques for simulating
quantum transport in the time domain and applies them to pertinent
physical systems such as flying qubits in electronic
interferometers and superconductor/semiconductor junctions hosting
Majorana bound states (the key ingredient for topological quantum
computing). In addition to exploring the rich new physics brought
about by time dependence, the thesis also develops software that
can be used to simulate nanoelectronic systems with arbitrary
geometry and time dependence, offering a veritable toolbox for
exploring this rapidly growing domain.
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