Quantum 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. / Doctor of Philosophy / Quantum Computation and Information is a fast-developing technology and its application is within reach. But errors due to noises in the environment and imperfections from physical implementation are roadblocks to the practical application. In this thesis, we will introduce the Space Curve Quantum Control Formalism, which builds connections between Geometric, Quantum, and Classical pictures. We utilize these connections to build noise-robust quantum gates and time-optimal gates.
| Identifer | oai:union.ndltd.org:VTETD/oai:vtechworks.lib.vt.edu:10919/115230 |
| Date | 26 May 2023 |
| Creators | Zhuang, Fei |
| Contributors | Physics, Economou, Sophia Eleftherios, Barnes, Edwin Fleming, Nguyen, Vinh, Park, Kyungwha |
| Publisher | Virginia Tech |
| Source Sets | Virginia Tech Theses and Dissertation |
| Language | English |
| Detected Language | English |
| Type | Dissertation |
| Format | ETD, application/pdf |
| Rights | In Copyright, http://rightsstatements.org/vocab/InC/1.0/ |
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