Browsing Theses by Title
Now showing items 11813-11832 of 15594
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Quantum Ray Marching: Reformulating Light Transport for Quantum Computers
(University of Waterloo, 2023-11-27)The use of quantum computers in computer graphics has gained some interest in recent years, especially for the application of rendering. The current state of the art in quantum rendering relies on Grover's search for finding ... -
Quantum Reference Frames and The Poincaré Symmetry
(University of Waterloo, 2014-09-19)The concept of a reference frame has been a part of the physical formalism since the early days of physics. The reference frame was always understood as a physical system with respect to which states of other physical ... -
Quantum Rejection Sampling
(University of Waterloo, 2015-01-21)Let H be a finite dimensional Hilbert space and ρ, σ ∈ D(H) be quantum states in H such that S(ρ||σ) is finite. In this thesis, we consider the following communication task involving two parties Alice and Bob. Suppose ... -
Quantum Snake Walk on Graphs
(University of Waterloo, 2010-01-13)Quantum walks on graphs have been proven to be a useful tool in quantum algorithm construction for various problems. In this thesis we introduce a new type of continuous-time quantum walk on graphs called the quantum snake ... -
Quantum Speed-ups for Boolean Satisfiability and Derivative-Free Optimization
(University of Waterloo, 2014-04-21)In this thesis, we have considered two important problems, Boolean satisfiability (SAT) and derivative free optimization in the context of large scale quantum computers. In the first part, we survey well known classical ... -
Quantum State Local Distinguishability via Convex Optimization
(University of Waterloo, 2015-08-24)Entanglement and nonlocality play a fundamental role in quantum computing. To understand the interplay between these phenomena, researchers have considered the model of local operations and classical communication, or LOCC ... -
Quantum state purification
(University of Waterloo, 2016-08-29)Quantum state purification is a process in which decoherence is partially reversed by using multiple copies of the input states that have been subject to the same decoherence effect. This thesis focuses on purifying the ... -
Quantum State Transfer in Graphs
(University of Waterloo, 2014-08-13)Let X be a graph, A its adjacency matrix, and t a non-negative real number. The matrix exp(i t A) determines the evolution in time of a certain quantum system defined on the graph. It represents a continuous-time quantum ... -
Quantum Strategies and Local Operations
(University of Waterloo, 2010-01-06)This thesis is divided into two parts. In Part I we introduce a new formalism for quantum strategies, which specify the actions of one party in any multi-party interaction involving the exchange of multiple quantum messages ... -
Quantum superchannels on the space of quantum channels
(University of Waterloo, 2023-06-20)Quantum channels, defined as completely-positive and trace-preserving maps on matrix algebras, are an important object in quantum information theory. In this thesis we are concerned with the space of these channels. This ... -
Quantum tests of causal structures and non-orthogonal states
(University of Waterloo, 2014-06-13)This thesis details two experimental tests that can be applied to particular quantum states to reveal important information. We begin by discussing the relevant background in quantum information. We introduce qubits and ... -
Quantum Turing Machines and Quantum Prover-Verifier Interactions
(University of Waterloo, 2020-07-31)We present results on quantum Turing machines and on prover-verifier interactions. In our work on quantum Turing machines, we continue the line of research opened by Yao (1993), who proved that quantum Turing machines ... -
Quantum Walks and Pretty Good State transfer on Paths
(University of Waterloo, 2019-08-23)Quantum computing is believed to provide many advantages over traditional computing, particularly considering the speed at which computations can be performed. One of the challenges that needs to be resolved in order to ... -
Quantum Walks on Oriented Graphs
(University of Waterloo, 2019-01-11)This thesis extends results about periodicity and perfect state transfer to oriented graphs. We prove that if a vertex a is periodic, then elements of the eigenvalue support lie in Z √∆ for some squarefree negative ... -
Quantum Walks on Strongly Regular Graphs
(University of Waterloo, 2010-08-30)This thesis studies the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of a matrix based on the amplitudes of walks in the ... -
Quantum-Classical Correspondence and Entanglement in Periodically Driven Spin Systems
(University of Waterloo, 2019-08-09)This dissertation sets out to examine some fundamental open questions in quantum physics regarding quantum-classical correspondence in regular versus chaotic systems. Specifically, we study these questions using approaches ... -
Quasi-Hopf Symmetry in Loop Quantum Gravity with Cosmological constant and Spinfoams with timelike surfaces
(University of Waterloo, 2018-09-20)In this thesis we study two separate problems concerning improvements to the Loop quantum gravity and spinfoam approach to quantum gravity. In the first part we address the question about the origin of quantum group ... -
Quasi-Static Approximation for Numerical Computation of Plasmon Eigenfrequencies in Nanoparticles
(University of Waterloo, 2014-08-28)General physical properties of electrostatic (plasmon) resonances in nanoparticles are presented. Direct calculation of the resonance values of the permittivity of nanoparticles, and subsequently their resonance frequencies, ... -
Quasi-Static, Cyclic, and Fracture Characteristics of Plasma Transferred Wire Arc (PTWA) Thermal Sprayed AlSi Cylinder Bores
(University of Waterloo, 2022-05-12)This study examines the microstructure and mechanical properties of plasma transferred wire arc (PTWA) coating of typical alloyed steel, deposited on diecast aluminum alloy cylinder bores. The coating surface and microstructure ... -
A Quasilocal Hamiltonian for Gravity with Classical and Quantum Applications
(University of Waterloo, 2000)I modify the quasilocal energy formalism of Brown and York into a purely Hamiltonian form. As part of the reformulation, I remove their restriction that the time evolution of the boundary of the spacetime be orthogonal ...