Browsing Theses by Subject "Quantum Computing"
Now showing items 1-14 of 14
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Communication Complexity of Remote State Preparation
(University of Waterloo, 2014-05-27)Superdense coding and quantum teleportation are two phenomena which were not possible without prior entanglement. In superdense coding, one sends n bits of information using n/2 qubits in the presence of shared entanglement. ... -
Concepts and methods for benchmarking quantum computers
(University of Waterloo, 2021-07-09)Quantum computers have the potential to bring about a new age of technology, but in order for them to become a reality, the elephant in the room must be addressed, quantum errors. The complexity of quantum errors grows ... -
The Effects of Quantum Error Correction on Noisy Systems
(University of Waterloo, 2018-08-23)Full accuracy simulations of quantum systems are very costly, and as a result most studies of quantum error correction assume a probabilistic Pauli error model, largely because such errors can be e ciently simulated. ... -
Equiangular Lines and Antipodal Covers
(University of Waterloo, 2010-09-22)It is not hard to see that the number of equiangular lines in a complex space of dimension $d$ is at most $d^{2}$. A set of $d^{2}$ equiangular lines in a $d$-dimensional complex space is of significant importance in Quantum ... -
Extensible Architecture for Superconducting Quantum Computing
(University of Waterloo, 2018-07-09)Quantum computing architectures with ten or more quantum bits (qubits) have been implemented using trapped ions and superconducting devices. The next milestone in the quest for a quantum computer is the realization of ... -
The non-injective hidden shift problem
(University of Waterloo, 2012-01-19)In this work, we mostly concentrate on the hidden shift problem for non-injective functions. It is worthwhile to know that the query complexity of the non-injective hidden shift problem is exponential in the worst case by ... -
On Magic State Distillation using Nuclear Magnetic Resonance
(University of Waterloo, 2008-01-25)Physical implementations of quantum computers will inevitably be subject to errors. However, provided that the error rate is below some threshold, it is theoretically possible to build fault tolerant quantum computers that ... -
Practical Advances in Quantum Error Correction & Communication
(University of Waterloo, 2013-10-25)Quantum computing exists at the intersection of mathematics, physics, chemistry, and engineering; the main goal of quantum computing is the creation of devices and algorithms which use the properties of quantum mechanics ... -
Quantum Cellular Automata: Theory and Applications
(University of Waterloo, 2007-09-26)This thesis presents a model of Quantum Cellular Automata (QCA). The presented formalism is a natural quantization of the classical Cellular Automata (CA). It is based on a lattice of qudits, and an update rule consisting ... -
A study of the robustness of magic state distillation against Clifford gate faults
(University of Waterloo, 2012-09-04)Quantum error correction and fault-tolerance are at the heart of any scalable quantum computation architecture. Developing a set of tools that satisfy the requirements of fault- tolerant schemes is thus of prime importance ... -
Surface Code Threshold Calculation and Flux Qubit Coupling
(University of Waterloo, 2009-10-02)Building a quantum computer is a formidable challenge. In this thesis, we focus on two projects, which tackle very different aspects of quantum computation, and yet still share a common goal in hopefully getting us closer ... -
Theory and Applications of Josephson Photomultipliers
(University of Waterloo, 2012-08-31)This thesis describes the back action of microwave-photon detection via a Josephson photomultiplier (JPM), a superconducting qubit coupled strongly to a high-quality mi- crowave cavity, and the applications of these devices. ... -
Towards Analog Quantum Simulations of Dynamical Gauge Theories
(University of Waterloo, 2017-09-20)A system which can implement an analog quantum simulation of lattice gauge theories has been proposed. In particular, the Schwinger model is formulated in terms of a lattice and superconducting qubit implementation is ... -
Towards Implementation of Quantum Algorithms Using Electron and Nuclear Spins in Single Crystals
(University of Waterloo, 2014-08-21)Quantum computing set a goal to harness the quantum laws of physics and create computers more powerful than ever imagined. Different technologies can be chosen to implement quantum bits (qubits), each with their advantages ...