Quantum Algebraic Geometry Codes
dc.contributor.advisor | Goldman, Ronald | en_US |
dc.creator | Han, Zhengyi | en_US |
dc.date.accessioned | 2025-01-16T20:55:50Z | en_US |
dc.date.created | 2024-12 | en_US |
dc.date.issued | 2024-12-06 | en_US |
dc.date.submitted | December 2024 | en_US |
dc.date.updated | 2025-01-16T20:55:50Z | en_US |
dc.description.abstract | Quantum error correction is an essential aspect of quantum information theory, providing protection for quantum states against noise and decoherence. This thesis investigates the construction of quantum error correction codes derived from classical algebraic geometry (AG) codes. We present two distinct construction techniques, highlighting the flexibility and self-orthogonality of AG codes, and demonstrate their ability to produce asymptotically good quantum codes. Additionally, we explore strategies to fine-tune the parameters of classical AG codes, ensuring they possess the desired properties for quantum code construction. This work serves as a comprehensive guide to the fundamental concepts and common methodologies underlying quantum algebraic geometry codes. | en_US |
dc.embargo.lift | 2030-12-01 | en_US |
dc.embargo.terms | 2030-12-01 | en_US |
dc.format.mimetype | application/pdf | en_US |
dc.identifier.uri | https://hdl.handle.net/1911/118203 | en_US |
dc.language.iso | en | en_US |
dc.subject | quantum error correction | en_US |
dc.subject | algebraic geometry | en_US |
dc.title | Quantum Algebraic Geometry Codes | en_US |
dc.type | Thesis | en_US |
dc.type.material | Text | en_US |
thesis.degree.department | Computer Science | en_US |
thesis.degree.discipline | Computer Science, Computer Science | en_US |
thesis.degree.grantor | Rice University | en_US |
thesis.degree.level | Masters | en_US |
thesis.degree.name | Master of Science | en_US |