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SUMMARY:Omri Golan (QEDMA Quantum Computing\, Israel)
DTSTART:20211115T170000Z
DTEND:20211115T180000Z
DTSTAMP:20260423T005846Z
UID:QM3/57
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QM3/57/">Geo
 metric complexity in quantum matter: intrinsic sign problems in topologica
 l phases</a>\nby Omri Golan (QEDMA Quantum Computing\, Israel) as part of 
 Quantum Matter meets Maths (IST\, Lisbon)\n\n\nAbstract\nThe infamous sign
  problem leads to an exponential complexity in Monte Carlo simulations of 
 generic many-body quantum systems. Nevertheless\, many phases of matter ar
 e known to admit a sign-problem-free representative\, allowing efficient s
 imulations on classical computers. Motivated by long standing open problem
 s in many-body physics\, as well as fundamental questions in quantum compl
 exity\, the possibility of intrinsic sign problems\, where a phase of matt
 er admits no sign-problem-free representative\, was recently raised but re
 mains largely unexplored. I will describe results establishing the existen
 ce\, and the geometric origin\, of intrinsic sign problems in a broad clas
 s of topological phases in 2+1 dimensions. Within this class\, these resul
 ts exclude the possibility of 'stoquastic' Hamiltonians for bosons\, and o
 f sign-problem-free determinantal Monte Carlo algorithms for fermions. The
  talk is based on Phys. Rev. Research 2\, 043032 and 033515.\n
LOCATION:https://researchseminars.org/talk/QM3/57/
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