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SUMMARY:Magic-State Distillation in All Prime Dimensions Using Quantum Ree
 d-Muller Codes - Earl Campbell (Freie Universität Berlin)
DTSTART:20130523T131500Z
DTEND:20130523T141500Z
UID:TALK45022@talks.cam.ac.uk
CONTACT:William Matthews
DESCRIPTION:We propose families of protocols for magic-state distillation
 —important components of fault-tolerance schemes—for systems of odd pr
 ime dimension. Our protocols utilize quantum Reed-Muller codes with transv
 ersal non-Clifford gates. We find that\, in higher dimensions\, small and
  effective codes can be used that have no direct analogue in qubit (two-di
 mensional) systems. We present several concrete protocols\, including sche
 mes for three-dimensional (qutrit) and five-dimensional (ququint) systems
 .  At the time of publication our five dimensional protocol was\, by many
  measures\, the best magic-state-distillation scheme yet discovered. It ex
 cels both in terms of error threshold with respect to depolarizing noise (
 36.3%) and the efficiency measure known as yield\, where\, for a large re
 gion of parameters\, it outperforms all first-generation qubit protocols b
 y many orders of magnitude. 
LOCATION:MR13\, Centre for Mathematical Sciences
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