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Modelling photon statistics of cavity QED systems for integrated photonic quantum computing Gitt, Sebastian
Abstract
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 enables us to study and characterize these systems before site-selective single impurity implantation techniques are perfected.
Item Metadata
Title |
Modelling photon statistics of cavity QED systems for integrated photonic quantum computing
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Creator | |
Supervisor | |
Publisher |
University of British Columbia
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Date Issued |
2021
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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 enables us to study and characterize
these systems before site-selective single impurity implantation techniques are perfected.
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Genre | |
Type | |
Language |
eng
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Date Available |
2021-05-04
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0397223
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URI | |
Degree | |
Program | |
Affiliation | |
Degree Grantor |
University of British Columbia
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Graduation Date |
2021-11
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Campus | |
Scholarly Level |
Graduate
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Rights URI | |
Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International