BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Ryohei Kobayashi (Maryland) DTSTART:20231205T150000Z DTEND:20231205T160000Z DTSTAMP:20260423T035607Z UID:SymSem/50 DESCRIPTION:Title: Higher-group symmetry of (3+1)D Z2 gauge theory and non-Clifford logical g ates of toric codes\nby Ryohei Kobayashi (Maryland) as part of Symmetr y Seminar\n\n\nAbstract\nIt has recently been understood that the complete global symmetry of topological gauge theories contains the structure of a higher-group. In this talk\, we look at the higher-group structure of sym metry in (3+1)D Z2 gauge theory with an emergent fermion\, and point out t hat pumping chiral p+ip topological states gives rise to a Z8 0-form symme try with mixed gravitational anomaly. This ordinary symmetry mixes with th e other higher symmetries to form a 3-group structure\, which we discuss i n detail. \nWe then see that in the context of stabilizer quantum codes\, one can obtain various logical non-Clifford gates of (3+1)D Z2 toric code (w/ emergent fermion) including the CCZ\, CS and T gates\, which are all i mplemented by pumping a p+ip topological state through a 3d space.\nThe ta lk is mainly based on a recent work with Maissam Barkeshli and Po-Shen Hsi n\, which is found in https://arxiv.org/abs/2311.05674 .\n LOCATION:https://researchseminars.org/talk/SymSem/50/ END:VEVENT END:VCALENDAR