Magic-State Distillation in All Prime Dimensions Using Quantum Reed-Muller Codes

Add to your list(s) Download to your calendar using vCal

• Earl Campbell (Freie Universität Berlin)
• Thursday 23 May 2013, 14:15-15:15
• MR13, Centre for Mathematical Sciences.

If you have a question about this talk, please contact William Matthews.

We propose families of protocols for magic-state distillation—important components of fault-tolerance schemes—for systems of odd prime dimension. Our protocols utilize quantum Reed-Muller codes with transversal non-Clifford gates. We find that, in higher dimensions, small and effective codes can be used that have no direct analogue in qubit (two-dimensional) systems. We present several concrete protocols, including schemes 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 excels both in terms of error threshold with respect to depolarizing noise (36.3%) and the efficiency measure known as yield, where, for a large region of parameters, it outperforms all first-generation qubit protocols by many orders of magnitude.

This talk is part of the CQIF Seminar series.

This talk is included in these lists:

• All CMS events
• CMS Events
• CQIF Seminar
• DAMTP info aggregator
• Hanchen DaDaDash
• Interested Talks
• MR13, Centre for Mathematical Sciences
• bld31

Note that ex-directory lists are not shown.