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oai:repository.rice.edu:1911/1182032025-09-16T20:45:55Zcom_1911_8299col_1911_13110

Goldman, Ronald Han, Zhengyi 2025-01-16T20:55:50Z 2024-12 2024-12-06 December 2024 2025-01-16T20:55:50Z https://hdl.handle.net/1911/118203 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. application/pdf eng Copyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder. quantum error correction algebraic geometry Quantum Algebraic Geometry Codes Thesis Text 2030-12-01 2030-12-01 Computer Science Engineering Rice University Masters Master of Science embargo