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Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code

Quantum Physics 2013-02-08 v1 Information Theory math.IT

Abstract

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 relative distances (which includes all known families of quantum LDPC codes), and over the probabilistic technique for codes with sufficiently high rates.

Cite

@article{arxiv.1302.1845,
  title  = {Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code},
  author = {Alexey A. Kovalev and Ilya Dumer and Leonid P. Pryadko},
  journal= {arXiv preprint arXiv:1302.1845},
  year   = {2013}
}

Comments

5.5 pages

R2 v1 2026-06-21T23:22:47.520Z