Dong, Wenzheng2021-05-222021-05-222021-05-21vt_gsexam:30031http://hdl.handle.net/10919/103438Quantum information technologies include secure quantum communications and ultra precise quantum sensing that are significantly more efficient than their classical counterparts. To enable such technologies, we need a scalable quantum platform in which qubits are con trollable. Color centers provide controllable optically-active spin qubits within the coherence time limit. Moreover, the nearby nuclear spins have long coherence times suitable for quantum memories. In this thesis, I present a theoretical understanding of and control protocols for various color centers. Using group theory, I explore the wave functions and laser pumping-induced dynamics of VSi color centers in silicon carbide. I also provide dynamical decoupling-based high-fidelity control of nuclear spins around the color center. I also present a control technique that combines holonomic control and dynamically corrected control to tolerate simultaneous errors from various sources. The work described here includes a theoretical understanding and control techniques of color center spin qubits and nuclear spin quantum memories, as well as a new platform-independent control formalism towards robust qubit control.ETDIn CopyrightQuantum InformationQuantum ComputingSpin QubitsColor CentersNV CentersDiamondMonovacancySilicon CarbideDynamical DecouplingGeometric PhaseHolonomic Quantum ComputationDynamically Corrected GatesDissertation