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SUMMARY:Local Jordan-Wigner transformations and topological sectors on the
  torus - Oliver O'Brien\, Centre for Quantum Information and Foundations\,
  Department of Applied Maths and Theoretical Physics\, University of Cambr
 idge
DTSTART:20260324T110000Z
DTEND:20260324T115000Z
UID:TALK244501@talks.cam.ac.uk
CONTACT:Lia Yeh
DESCRIPTION:Note the room change to room FW26.\n\nThis paper is published 
 in Physical Review B at https://journals.aps.org/prb/abstract/10.1103/Phys
 RevB.111.115126\n\nAbstract:\nWe present a locality preserving unitary map
 ping from fermions to qubits on a two-dimensional torus while accounting f
 or the mapping of topological sectors. Extending the work of Shukla et al.
  [Phys. Rev. B 101\, 155105 (2020)]\, an explicit intertwiner is construct
 ed in the form of a projected entangled pair operator. By encoding the inf
 ormation about the charge sectors (and if applicable the twisted boundary 
 conditions) in ancillary qubit(s)\, the intertwiner becomes a unitary oper
 ator which exchanges boundary conditions and charge sectors.
LOCATION:Computer Laboratory\, William Gates Building\, Room FW26
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