<<<「@」を「__AT__」に置き換えています>>> From: Yuya Tanizaki Date: Thu, 22 Dec 2022 10:25:16 +0900 To: sg-l__AT__yukawa.kyoto-u.ac.jp Subject: [Sg-l:7203] セミナー案内 素粒子論グループの皆様、 依頼により、セミナー案内を転送いたします。 谷崎 ************ 【Subject】 セミナー(ハイブリッド): 1月5日 小林良平氏 【メール本文】 メーリングリストの皆様、 東大物工渡辺研究室の小野清志郎です。 当研究室では下記のセミナー(ハイブリッド形式)を企画しております。 対面・オンライン参加に関わらず、参加をご希望される方は以下のページから事前登録をお願いします。 https://sites.google.com/view/watanabegroup/japanese/seminars/kobayashi3 皆様のご参加をお待ちしております。 小野清志郎 ============================================== Speaker: Ryohei Kobayashi (University of Maryland) Date & Time: 10am, Jan 5, 2023. Room: Seminar Room A&D (Engineering Building #6 at UTokyo) / Online (Zoom) Title: Higher-group symmetry of topological order and logical gates Abstract: Topologically ordered phases can host interesting classes of non-trivial topological defects of varying codimensions. Among the topological defects, the invertible defects form an algebraic structure called higher-group. In this talk we explain how the higher-group structure of invertible global symmetry emerges in discrete gauge theory of generic dimensions, and show various examples of the higher-group symmetry in topological order mainly focusing on (3+1)-dimensional stabilizer models. The emergent global symmetry of a stabilizer model is understood as a logical gate acting on the logical qubits. We explain that the higher-group structure of global symmetry in general leads to non-Pauli logical gate realized by the action of emergent global symmetry, e.g., Control-Z logical gate of (3+1)-dimensional Z2 toric code. ============================================== ************ -- -------------------------------------------------------------------------------- Yuya Tanizaki Yukawa Institute for Theoretical Physics, Kyoto University Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan email : yuya.tanizaki__AT__yukawa.kyoto-u.ac.jp web: https://sites.google.com/view/yuyatanizaki --------------------------------------------------------------------------------