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SUMMARY:Po-Shen Hsin (King's College London)
DTSTART:20250918T130000Z
DTEND:20250918T140000Z
DTSTAMP:20260423T040006Z
UID:QTFMS/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QTFMS/13/">A
 pplication of Generalized Symmetry in Quantum Computation</a>\nby Po-Shen 
 Hsin (King's College London) as part of Quantum Theories of Fields\, Matte
 r\, and Strings\n\n\nAbstract\nI will discuss applications of generalized 
 symmetry in fault-tolerant quantum computation. Symmetry can serve as logi
 cal gates in quantum codes\, and generalized symmetries provide wide varie
 ty of logical gates implemented by constant depth circuits.\nThese logical
  gates are unitary operators given by symmetry-protected topological respo
 nses labelled by group cohomology and can be expressed explicitly on the l
 attice using cohomology operations including cup product\, Steenrod square
 s and new combinations of higher cup products called higher Pontryagin pow
 ers. Implementing these gates could make it more efficient to compile spec
 ific types of quantum algorithms such as Shor’s algorithm. We further ex
 tend the construction to quantum codes with boundaries\, which generalizes
  the folding approach in color codes\, and generalize the discussion to go
 od LDPC codes.\n
LOCATION:https://researchseminars.org/talk/QTFMS/13/
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