Zhuang, Fei2023-05-272023-05-272023-05-26vt_gsexam:37314http://hdl.handle.net/10919/115230Quantum Computation and Information requires high accuracy in gate control despite noises and imperfections from the environment and physical implementation. Here we introduce an SCQC Formalism based on dynamical decoupling and reverse engineering. Space Curve Quantum Control Formalism discovers the tight connections between quantum, geometric, and classical systems. We are able to use such connections to build noise-canceling, precise control, and time-optimal arbitrary gates.ETDenIn CopyrightQuantum informationQuantum computationQuantum controlDifferential GeometryDissertation