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SUMMARY:Al Shapere (Kentucky)
DTSTART:20201109T190000Z
DTEND:20201109T200000Z
DTSTAMP:20260423T042411Z
UID:UKYhepth/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UKYhepth/17/
 ">Quantum Codes and Conformal Field Theories</a>\nby Al Shapere (Kentucky)
  as part of Theoretical Physics Seminars (Kentucky)\n\n\nAbstract\nThere i
 s a rich web of connections between classical error-correcting codes\, Euc
 lidean lattices\, and chiral conformal field theories.  I will explain an 
 analogous relationship between quantum error-correcting codes\, Lorentzian
  lattices\, and nonchiral CFTs arising from toroidal compactifications of 
 strings.  Specifically\, I will show how quantum stabilizer codes are embe
 dded in the operator algebras of associated Narain CFTs.   With respect to
  “code” CFTs\, the constraints of modular invariance reduce to simple 
 algebraic equations.  Solving these equations provides many examples of ph
 ysically distinct CFTs with the same spectrum\; we also find many solution
 s that do not correspond to any code CFT\, and likely do not correspond to
  any CFT at all.  This exposes a crucial limitation of the conformal boots
 trap program – that in general\, a solution of the bootstrap equations i
 mplies neither the existence nor the uniqueness of a corresponding CFT.\n
LOCATION:https://researchseminars.org/talk/UKYhepth/17/
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