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SUMMARY:Xie Chen (Caltech)
DTSTART:20231128T150000Z
DTEND:20231128T160000Z
DTSTAMP:20260423T035540Z
UID:SymSem/48
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SymSem/48/">
 Sequential circuit as string operator for topological defects</a>\nby Xie 
 Chen (Caltech) as part of Symmetry Seminar\n\n\nAbstract\nBosonic point ch
 arge excitations in 3+1D topological phases can condense along a line and 
 form a descendant defect called the Cheshire string. Unlike the elementary
  flux loop excitations in the system\, Cheshire strings do not have to app
 ear as the boundary of a 2D disc and can exist on open-line segments. On t
 he other hand\, Cheshire strings are different from trivial excitations th
 at can be created with either local unitaries in 0d or finite depth quantu
 m circuits in 1d and higher. In this talk\, we show that to create a Chesh
 ire string\, one needs the Sequential Quantum Circuit -- a linear depth ci
 rcuit that acts sequentially along the length of the string. Once a Cheshi
 re string is created\, its deformation\, movement\, and fusion can be real
 ized by finite depths circuits. Quantum circuits hence provide a way to de
 fine equivalence classes of gapped topological defects\,  giving rise to a
 n operational meaning of the higher category description of topological or
 ders in 3+1D or higher.\n
LOCATION:https://researchseminars.org/talk/SymSem/48/
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