Loading...
Holonomic quantum computation on Laguerre-Gaussian modes propagating in a harmonic dielectric trap
Moler, Joshua A.
Moler, Joshua A.
Citations
Altmetric:
Advisor
Editor
Date
Date Issued
2022
Date Submitted
Collections
Research Projects
Organizational Units
Journal Issue
Embargo Expires
Abstract
Non-Abelian holonomic quantum computing is a method of realizing quantum gates by engineering
settings in which cyclic evolution fails to preserve geometric data. Information is encoded as an operator
measure of this lack of geometric preservation, and it is not influenced by either the environment or
dynamic phase. Non-Abelian holonomic information therefore offers the prospect of being more robust to
error than traditional approaches. In this thesis, a comprehensive background is given as an introduction
to the field of holonomic quantum computing, and a promising theoretical framework for generating
universal honolomic gates is reviewed. This existing framework is then extended by generalizing it to
function on arbitrarily large vector spaces, and we prove that the resulting paradigm is sufficient to achieve
universal quantum computation. It is then applied to a system of Laguerre-Gaussian modes in a harmonic
dielectric trap, and it is shown that this novel optical setting can, in principle, achieve universal quantum
computation. The practicality of the implementation is then discussed and compared to other means of
realizing quantum computation in the optical regime.
Associated Publications
Rights
Copyright of the original work is retained by the author.