Sanders, BarryHoyer, PeterNerem, Robert Riley2022-05-092022-05-092022-05-04Nerem, R. R. (2022). Optimization of Quantum Algorithms for Applications (Master's thesis, University of Calgary, Calgary, Canada). Retrieved from https://prism.ucalgary.ca.http://hdl.handle.net/1880/114638I aim to design and evaluate quantum algorithms that perform optimally with respect to metrics that make or break the applicability of these algorithms. Specifically, I analyze two applications: Bitcoin mining and estimating expectation values from a system of linear equations. For the former I develop a quantum algorithm for Bitcoin mining which optimizes the probability of successfully mining Bitcoin. For the later I give a quantum algorithm with query complexity that is optimally dependent on accuracy. I ensure that my quantum algorithms are relevant to applications by designing algorithms that are end-to-end for their applications, as opposed to algorithms that only address a subroutine. My work yields quantum algorithms that are directly comparable to their classical counterparts. By making this comparison, I develop necessary conditions for quantum algorithms to outperform classical algorithms at solving systems of linear equations and Bitcoin mining.engUniversity of Calgary graduate students retain copyright ownership and moral rights for their thesis. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.Quantum ComputingAlgorithmsSystems of Linear EquationsBitcoinBlockchainEducation--MathematicsPhysicsComputer Sciencemaster thesis10.11575/PRISM/39753