235 citations · 2.6k across the 69 of their papers we have counts for
3 papers · 2 filters
Thresholds for correcting errors, erasures, and faulty syndrome measurements in degenerate quantum codes
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
We suggest a technique for constructing lower (existence) bounds for the fault-tolerant threshold to scalable quantum computation applicable to degenerate quantum codes with sublin…
Parafermion stabilizer codes
Utkan Güngördü, Rabindra Nepal, Alexey A. Kovalev
We define and study parafermion stabilizer codes which can be viewed as generalizations of Kitaev's one dimensional model of unpaired Majorana fermions. Parafermion stabilizer code…
Numerical Techniques for Finding the Distances of Quantum Codes
Ilya Dumer, Alexey A. Kovalev, Leonid P. Pryadko
We survey the existing techniques for calculating code distances of classical codes and apply these techniques to generic quantum codes. For classical and quantum LDPC codes, we al…