【学术视频】拓扑量子计算2019会议 | 哈佛大学Arthur Jaffe教授

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图 | Arthur Jaffe

题目：Pictures, Braids, and the de Finetti Theorem

报告人：Arthur Jaffe

单位：Harvard University, USA

时间：2019-12-18

地点：南方科技大学

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报告提纲

2D Planar Algebras
- More structure than category theory
- Natural Fourier transform
Parafermions (charge label)
- Two parafermions of order d give one-qudit matrices
- 1+2 combine to give"Two charged string"language
3D TQFT + Four charged strings per qudit
- Redundancy gives new possibilities.
- "Quon language"
Braids
- Elementary representation for single braid b
- Double braid B exchanges qudits
New Quantum de Finetti Type Theorem for braiding qudits
- Characterize double-braid invariant states.
- Square-free order d plays a special role.
- Classical de Finetti used in many ways. Quantum?

个人简介

Arthur Jaffe是哈佛大学教授，美国国家科学院院士，美国国家科学与艺术院院士，曾任美国数学会会长，哈佛大学数学系主任，Clay数学研究所首任所长。Jaffe教授主要从事数学物理的研究，是构造量子场论的创立者。他曾获得美国数学物理学会Danne Heineman奖、法国法兰西科学院奖章等多个重要数学及物理学奖项，是多个重要的国际数学及物理学杂志的主编，曾应邀在1994年、1991年、1977年国际数学物理学大会作主题或邀请报告，曾在1978年国际数学家大会作邀请报告。

会议简介

会议题目：拓扑量子计算2019会议（TQC2019）

会议时间：2019-12-16

会议地点：深圳

主办方：南方科技大学、鹏城实验室

Topological quantum computing (TQC) represents one of the best approaches to building a large-scale fault-tolerant quantum computer. The key for realizing TQC lies in the existence and manipulation of topological phases of matter. Topology, classical or quantum, is central in studying the mathematical theory of such phases. Alternatively, tensor categories and their higher dimensional generalizations give the algebraic characterizations. The conference is on all theoretical aspects that are loosely related to TQC. Interested topics include, but are not limited to, topological phases of matter, tensor/higher categories, subfactor theory, topological quantum field theories, conformal field theories, quantum error correction, entanglement, etc.