Enhanced fault-tolerant quantum computing in $d$-level systems

Understand

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 transverse 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 upto $\sim d/3$ errors.