Numerical Methods for Time-Resolved Quantum Nanoelectronics

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.

Part I: Numerical Algorithms and Sotware for Time-Resolved Quantum Transport.- Introduction to Quantum Transport in the Time Domain.- Numerical Algorithms for Time-Resolved Quantum Transport.- Software Design.- Part II: Applications of the Numerical Algorithms.- Split Wire Flying Qubit.- Time-Resolved Dynamics of Josephson Junctions.- Manipulating Andreev and Majorana Resonances in Nanowires.- Conclusion.

After graduating in 2012 from the MSci. Physics program at Imperial College London, Joseph moved to France to undertake postgraduate study at the Université Grenoble Alpes, where he completed his doctoral thesis in 2016. He is currently employed at the Qutech quantum computing research centre in the Netherlands, where he develops software for simulating next-generation quantum devices.