Coherent feedback control of quantum transport at finite bias

Thethi, Rajpal

Abstract

Feedback is a fundamental and well-understood method of control used since ancient times; this thesis investigates coherent feedback control in a quantum Hall regime. Quantum Feedback requires a level of isolation from measurement in order to maintain the coherence of the electron wavefunction, unlike the classical variant of feedback where measurement is commonplace as information is easily duplicated. Here we build upon a Landauer Büttiker model for electrons as flying qubits in a closed feedback arrangement which uses scattering matrices to represent and connect the elements of the feedback device to better analyse the qualities that modify feedback effects in a variety of systems. Here we will also investigate the effects of finite bias at each stage of the thesis, with a focus on what effect it has on the function of the feedback system and the extent of the effect depending on how feedback is employed.

Citation

Thethi, R. Coherent feedback control of quantum transport at finite bias. (Thesis). University of Hull. https://hull-repository.worktribe.com/output/4223181

• Thesis Type: Thesis
• Deposit Date: May 11, 2021
• Publicly Available Date: Feb 23, 2023
• Keywords: Physics
• Public URL: https://hull-repository.worktribe.com/output/4223181
• Additional Information: Department of Physics and Mathematics, The University of Hull
• Award Date: Jun 1, 2019