Earl T. Campbell · 2014 · Physical Review Letters
Paper
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.
Analysis
This paper presents new error-correcting codes for d-level qudit systems with prime d, offering enhanced fault-tolerant quantum computing capabilities by enabling transversal non-Clifford gates and improving magic-state distillation performance with increasing d.
Discovery
Pau Escofet; Carmen G. Almudéver; Sergi Abadal; Eduard Alarcón
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Frederic St-Amand; Jean-Philippe Burelle; Baptiste Royer
Shantanu R. Jha; Shoumik D. Chowdhury; Gabriele Rolleri; Anaida Ali; Lev-Arcady Sellem; Réouven Assouly; David Pahl; Lukas Pahl; Junyoung An; Farid Hassani; Hung-Yu Tsao; Chia-Chin Tsai; Aranya Goswami; Jeremie Boudreault; Jeffrey M. Gertler; Michael A. Gingras; Bethany M. Niedzielski; Jeffrey M. Knecht; Mollie E. Schwartz; Kyle Serniak; Jeffrey A. Grover; Baptiste Royer; Max Hays; William D. Oliver
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