The structure and manipulation of resources in quantum information theory
File(s)
Author(s)
Hebdige, Thomas
Type
Thesis
Abstract
Resources arise whenever there is some constraint, either practical or fundamental. Studying the structures that arise in connection to these resources can enhance our understanding of important features in quantum information theory. Furthermore, the manipulation of these resources can improve our ability to perform computational tasks, in certain cases providing a quantum advantage over the classical analogue. In this thesis we study the structure of resources in thermodynamics, in particular the structure of passivity, with a novel geometric approach. Then we provide a classification scheme for quantum resources under symmetry constraints, considering both the abstract structures and their consequences. Finally, we study computational resources for resampling algorithms on quantum computers, and how quantum resources enable a proven quantum advantage for a class of algorithms called Bernoulli factories.
Version
Open Access
Date Issued
2020-03
Date Awarded
2021-01
Copyright Statement
Creative Commons Attribution Non-Commercial 4.0 International Licence
License URL
Advisor
Jennings, David
Mintert, Florian
Sponsor
Engineering and Physical Sciences Research Council
Publisher Department
Physics
Publisher Institution
Imperial College London
Qualification Level
Doctoral
Qualification Name
Doctor of Philosophy (PhD)