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 -level qudit systems with prime . The codes use qudits and can detect up to 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 .
- Received 18 June 2014
DOI:https://doi.org/10.1103/PhysRevLett.113.230501
© 2014 Published by the American Physical Society