Enhanced Fault-Tolerant Quantum Computing in d-Level Systems

Earl T. Campbell
Phys. Rev. Lett. 113, 230501 – Published 3 December 2014
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Abstract

Error-correcting codes protect quantum information and form the basis of fault-tolerant quantum computing. Leading proposals for fault-tolerant quantum computation require codes with an exceedingly rare property, a transversal non-Clifford gate. Codes with the desired property are presented for d-level qudit systems with prime d. The codes use n=d1 qudits and can detect up to d/3 errors. We quantify the performance of these codes for one approach to quantum computation known as magic-state distillation. Unlike prior work, we find performance is always enhanced by increasing d.

  • Figure
  • Received 18 June 2014

DOI:https://doi.org/10.1103/PhysRevLett.113.230501

© 2014 Published by the American Physical Society

Authors & Affiliations

Earl T. Campbell1,2

  • 1Department of Physics & Astronomy, University of Sheffield, Sheffield S3 7RH, United Kingdom
  • 2Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany

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Issue

Vol. 113, Iss. 23 — 5 December 2014

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