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Diagrammatic Calculus: Quantum Computing and Clifford Groups

日期:May 6, 2026 | 時間:13:00 - 14:00
講者姓名(Speaker Name) 李金彥
現職職稱(Current Job Title) 國立清華大學數學系博士後研究員
最高學歷(Highest Education) 國立中央大學數學系博士
經歷(Experience) 國立清華大學數學系博士後研究員
國立中央大學數學系博士,2025
國立中山大學應用數學系碩士,2019
國立中山大學物理系學士,2017
演講摘要 (Speech Summary)
Diagrammatic calculus provides a way to study algebraic and computational structures through diagrams, generators, and local rewriting rules. In quantum computing, such graphical languages appear naturally in tensor networks, categorical quantum mechanics, and ZX-calculus, where diagrams can be interpreted as linear maps or quantum processes. In this talk, I will introduce this viewpoint from a mathematical perspective and explain how diagrammatic methods help organize syntax, semantics, and equational reasoning, with Clifford circuits and Clifford groups as central examples.