Modelling photon statistics of cavity QED systems for integrated photonic quantum computing
department or school: Science, Faculty of
department or school: Physics and Astronomy, Department of
data provider: DSpace
degree campus: UBCV
creator: Gitt, Sebastian
issued: 2021-05-04T18:04:35Z
issued: 2021
related degree: Master of Science - MSc
degree grantor: University of British Columbia
description: Cavity quantum electrodynamic systems hosted in photonic integrated circuits are being explored as a potential platform for realizing quantum computers, owing to their compact size and scalability. The qubits can be encoded in the electronic states of a localized defect centre in some otherwise uniform host material that comprises a microscopic optical cavity. A particular defect centre of much recent interest is the ⁷⁷Se⁺ donor in silicon, which has a dipole-allowed transition at 2.9 μm. The ground state of the transition is split due to a hyperfi ne interaction with the donor's nuclear spin, resulting in long-lived singlet and triplet states, separated by an energy of 6.87 μeV. These two states can be used to encode the states of a qubit. The fundamental building block of the photonic integrated circuit quantum computing platform involves placing the donor in an optical microcavity with a resonance frequency tuned to the transition frequency of only the singlet or triplet state to the excited state. The quantum state of the spin qubit then controls the transmitted and reflected photon statistics of the cavity in such a way that single photon detectors located in waveguides coupled to the qubit-containing cavities can be used to measure and control the spin state of the qubits via projective measurements. To entangle more than one qubit with high fidelity, photon loss must be minimized, a quantum engineering task that requires a rigorous treatment of open quantum systems. In this thesis, we develop a scattering-matrix based formalism to analyze the photon statistics of multiple defect centres embedded in microcavities evanescently coupled to waveguides. This formalism is used to quantify the properties of a single ⁷⁷Se⁺ donor in a photonic crystal cavity with an experimentally-accessible quality factor. More generally, we look at ensembles of atoms in cavities subject to inhomogenous broadening and dipole-dipole interactions. Modelling ensembles of ⁷⁷Se⁺ donors ena…
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/78088
note: Modelling Photon Statistics of CavityQED Systems for Integrated PhotonicQuantum ComputingbySebastian GittB.A.Sc., Queen’s University, 2018A THESIS SUBMITTED IN PARTIAL FULFILLMENT OFTHE REQUIREMENTS FOR THE DEGREE OFMASTER OF SCIENCEinThe Faculty of Graduate and Postdoctoral Studies(Physics)THE UNIVERSITY OF BRITISH COLUMBIA(Vancouver)April 2021© Sebastian Gitt 2021The following individuals certify that they have read, and recommend to the Faculty ofGraduate and Postdoctoral Studies for acceptance, the thesis entitled:Modelling Photon Statistics of Cavity QED Systems for Integrated PhotonicQuantum Computingsubmitted by Sebastian Gitt in partial fulfillment of the requirements for the degreeof Master of Science in Physics.Examining Committee:Jeff Young, Physics and AstronomySupervisorLukas Chrostowski, Electrical and Computer EngineeringAdditional ExamineriiAbstractCavity quantum electrodynamic systems hosted in photonic integrated circuits are beingexplored as a potential platform for realizing quantum computers, owing to their compactsize and scalability. The qubits can be encoded in the electronic states of a localized defectcentre in some otherwise uniform host material that comprises a microscopic optical cavity.A particular defect centre of much recent interest is the 77Se+ donor in silicon, whichhas a dipole-allowed transition at 2.9 µm. The ground state of the transition is split dueto a hyperfine interaction with the donor’s nuclear spin, resulting in long-lived singlet andtriplet states, separated by an energy of 6.87 µeV. These two states can be used to encodethe states of a qubit. The fundamental building block of the photonic integrated circuitquantum computing platform involves placing the donor in an optical microcavity with aresonance frequency tuned to the transition frequency of only the singlet or triplet state tothe excited state. The quantum state of the spin qubit then controls the transmitted andreflected photon statistics of the cavity in such…
has type: Thesis/Dissertation
date issued: 2021-11
is shown at: 10.14288/1.0397223
language: eng
degree discipline: Physics
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
contributor: Young, Jeff F.
type: Text
identifier URI: http://hdl.handle.net/2429/78088