title: Enhanced fault-tolerant quantum computing in d-level systems.
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=d-1 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.
authors.affiliation: Department of Physics & Astronomy, University of Sheffield, Sheffield S3 7RH, United Kingdom and Dahlem Center for Complex Quantum Systems, Freie Universität Berlin, 14195 Berlin, Germany.
authors.forename: Earl T
authors.initials: ET
authors.lastname: Campbell