33 citations · 160 across the 26 of their papers we have counts for
12 papers · 1 filter
Numerical and analytical bounds on threshold error rates for hypergraph-product codes
Alexey A. Kovalev, Sanjay Prabhakar, Ilya Dumer +1
We study analytically and numerically decoding properties of finite rate hypergraph-product quantum LDPC codes obtained from random (3,4)-regular Gallager codes, with a simple mode…
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…
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…
Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code
Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko
We present a linked-cluster technique for calculating the distance of a quantum LDPC code. It offers an advantage over existing deterministic techniques for codes with small relati…
Low-complexity quantum codes designed via codeword-stabilized framework
Alexey A. Kovalev, Ilya Dumer, Leonid P. Pryadko
We consider design of the quantum stabilizer codes via a two-step, low-complexity approach based on the framework of codeword-stabilized (CWS) codes. In this framework, each quantu…
Structured Error Recovery for Codeword-Stabilized Quantum Codes
Yunfan Li, Ilya Dumer, Markus Grassl +1
Codeword stabilized (CWS) codes are, in general, non-additive quantum codes that can correct errors by an exhaustive search of different error patterns, similar to the way that we…