Scalable quantum control of solid-state qubit systems to counteract physical errors

Abstract

Quantum computing allows for significant speed-up in solving certain practical problems as compared to classical computing. The current quantum computers are limited by high error rates and a limited number of qubits, quantum bits. Silicon spin qubits, the main focus of this dissertation, are a promising platform for quantum computing that also suffers from these issues. Current silicon spin quantum computers are limited in size and error rates by charge noise. The goal of this dissertation is to develop quantum control methods that can create high-fidelity gates, low-error rate operations, and scale these gates to larger qubit systems. To this end, in the first half of the dissertation numerical optimization methods are presented that create robust gates in 2-3 qubit systems. This is expanded in the later half where a method for creating robust gates in arrays of Ising coupled qubits is presented. Finally, a method to supplement robust gates by measuring charge noise in situ was proposed in the final work presented in this dissertation. The methods developed in this dissertation help move quantum computing toward becoming practical.