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SUMMARY:Liyuan Chen (Harvard)
DTSTART:20241112T213000Z
DTEND:20241112T223000Z
DTSTAMP:20260423T035528Z
UID:MathPic/135
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MathPic/135/
 ">Universal Circuit Set with S3 Quantum Double</a>\nby Liyuan Chen (Harvar
 d) as part of Mathematical Picture Language Seminar\n\nLecture held in Jef
 ferson 356 and Zoom https://harvard.zoom.us/j/779283357?pwd=MitXVm1pYUlJVz
 ZqT3lwV2pCT1ZUQT09.\n\nAbstract\nOne potential route toward fault-tolerant
  universal quantum computation is to use the non-Abelian topological codes
 . In this work\, we investigate how to perform computation with a specific
  non-Abelian topological order---the quantum double model D(S3). By embedd
 ing each on-site Hilbert space into a qubit-qutrit pair\, we explicitly co
 nstruct the circuits for creating\, moving\, and measuring all non-trivial
  anyons. These circuits incorporate a single non-Clifford gate. We also de
 sign a specific anyon interferometer to measure the total charge of well-s
 eparated anyons remotely\, without fusing them together. These protocols e
 nable the implementation of a universal gate set proposed by Cui et.al.\, 
 with the possibility to correct the circuit-level noise actively during th
 e computation process. Then\, we show how to encode each physical degree o
 f freedom of D(S3) into a novel quantum error correcting code. The encodin
 g allows reliable realization of all gates in the anyon manipulation circu
 its\, thereby further reducing the error rate. This suppresses the anyon e
 rror density\, which facilitates the active error correction by D(S3). Our
  proposal offers a promising path to realize universal quantum computation
  in a fault-tolerant manner.\n\nPasscode: 657361\n
LOCATION:https://researchseminars.org/talk/MathPic/135/
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