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SUMMARY:Circuit Knitting for Periodic Boundary Conditions
DTSTART:20261104T203000Z
DTEND:20261104T220000Z
DTSTAMP:20261112T195700Z
UID:indico-event-35011@indico.bnl.gov
DESCRIPTION:Speakers: Peter Vander Griend (Brookhaven National Laboratory)
 \n\nExtracting physical predictions from quantum simulations of lattice ga
 uge theories requires treating finite-volume corrections. Periodic boundar
 y conditions (PBC) reduce these corrections with respect to open boundary 
 conditions (OBC) (exponentially vs. power law in lattice size L) at the pr
 ice of routing overhead or increased hardware connectivity. Circuit knitti
 ng is the decomposition of a non-local gate into a quasi-probability distr
 ibution over local circuits (i.e.\, mid-circuit measurement\, single-qubit
  insertions)\, the outputs of which are recombined by classical post proce
 ssing. This allows for the implementation of PBC without low-fidelity SWAP
  gates or beyond-nearest-neighbor hardware connectivity. In this talk\, I 
 will present an introduction to Z2 lattice gauge theory in 1+1D: the simpl
 est confining lattice gauge theory and\, in essence\, a transverse-field I
 sing chain coupled to dynamical matter. Simulating this theory\, we find\,
  for targeted observables\, PBC converges to within 10^-3 of the infinite-
 volume limit already at 6 sites while OBC requires ~120 sites. We find add
 itionally that implementation of PBC with circuit knitting provides a decr
 ease in the number of entangling CNOT gates and comparable accuracy to PBC
  with SWAP gates at the price of a large resampling overhead. I will close
  with an outlook on relevance and implementation on larger lattices and in
  higher dimensions.\n\nhttps://indico.bnl.gov/event/35011/
LOCATION:Large Seminar Room (BNL Building 510)
URL:https://indico.bnl.gov/event/35011/
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