Browsing Science (Faculty of) by Subject "quantum"
Now showing items 1-16 of 16
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Causal Discovery of Photonic Bell Experiments
(University of Waterloo, 2020-01-13)A causal understanding of a physical theory is vital. They provide profound insights into the implications of the theory and contain the information required to manipulate, not only predict, our surroundings. Unfortunately, ... -
Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
(University of Waterloo, 2017-01-06)Physical theories can be characterized in terms of their state spaces and their evolutive equations. The kinematical structure and the dynamical structure of finite dimensional quantum theory are, in light of the ... -
Control and Readout of High-Dimensional Trapped Ion Qudits
(University of Waterloo, 2023-09-07)The trapped ion platform is one of the quantum computing platforms that is at the forefront for realizing large-scale quantum information processing, which is crucial for practically actualizing the advantages of quantum ... -
Developing a Large-Scale, Programmable Trapped Ion Quantum Simulator with In Situ Mid-Circuit Measurement and Reset
(University of Waterloo, 2023-09-25)Quantum simulators are a valuable resource for studying complex many-body systems. With their ability to provide near-term advantages, analog quantum simulators show great promise. In this thesis, my aim is to describe the ... -
Developments in the Centroid Phase Space Formulation of Quantum Statistical Mechanics
(University of Waterloo, 2016-01-25)The centroid formalism provides a phase space representation of quantum statistical mechanics based on the Feynman path integral. Real time quantum correlation functions can be exactly calculated using the centroid formalism, ... -
Efficient Characterization of a Unitary Quantum Gate via a Projective Rabi Experiment
(University of Waterloo, 2023-01-09)In this thesis, we introduce a novel randomization-based protocol for estimation of parameters in a sparse Hamiltonian. This is achieved via a projective Rabi experiment which interleaves projective channels between ... -
Equilibrium and dynamical computation schemes for vibronic models of nonadiabatic systems
(University of Waterloo, 2023-01-06)Two computational schemes were investigated for studying vibronic models of nonadiabatic systems: Path Integral Monte Carlo (PIMC) and vibrational electronic coupled cluster (VECC). A PIMC method was used to investigate ... -
An estimation theoretic approach to quantum realizability problems
(University of Waterloo, 2023-09-27)This thesis seeks to develop a general method for solving so-called quantum realizability problems, which are questions of the following form: under which conditions does there exist a quantum state exhibiting a given ... -
On Experimental Deterministic Quantum Computation with One Quantum Bit (DQC1)
(University of Waterloo, 2012-03-27)Quantum information processors have the ability to drastically change our world. By manipulating bits of information ruled by the laws of quantum mechanics, computational devices can perform some computations that are ... -
An Operational Road towards Understanding Causal Indefiniteness within Post-Quantum Theories
(University of Waterloo, 2022-01-07)A theory, whatever it does, must correlate data. We commit ourselves to operational methodology, as a means towards studying the space of Generalised Probability Theories that are compatible with Indefinite Causality. Such ... -
Path integral ground state approaches for the study of weakly bound clusters and confined molecules
(University of Waterloo, 2018-09-21)This thesis presents the study of weakly bound clusters in the ground state (or the zero-temperature limit) using path integral molecular dynamics. Specifically, we look individually at the quantum properties of small ... -
Path integral Langevin dynamics of complex molecular systems: from low-temperature quantum clusters to biomolecules
(University of Waterloo, 2011-08-31)This thesis presents an implementation of path integral molecular dynamics (PIMD) for sampling equilibrium and dynamical properties within the molecular modelling toolkit (MMTK) [J. Comp. Chem. 21, 79 (2000)], an open ... -
Photonic Three-Level Systems Within the Framework of Generalised Probabilistic Theories
(University of Waterloo, 2021-09-24)If one seeks to test quantum theory not against a particular alternative but against many alternatives in a landscape of possibilities, it is crucial to be able to analyze experimental data in a theory-agnostic way. This ... -
Quaternions and Quantum Theory
(University of Waterloo, 2011-08-30)The orthodox formulation of quantum theory invokes the mathematical apparatus of complex Hilbert space. In this thesis, we consider a quaternionic quantum formalism for the description of quantum states, quantum channels, ... -
Squashing Models for Optical Measurements in Quantum Communication
(University of Waterloo, 2009-10-02)Many protocols and experiments in quantum information science are described in terms of simple measurements on qubits. However, in an experimental implementation, the exact description of the measurement is usually more ... -
Tolerable Experimental Imperfections for a Quadrupole Blade Ion Trap and Practical Qudit Gates with Trapped Ions
(University of Waterloo, 2019-09-26)Trapped ions are one of the leading technologies in quantum information technology due to their long coherence time and low noise presence. For trapping ions, there are a plethora of ion trap architectures. Among them ...