English

Pseudocodeword-based Decoding of Quantum Stabilizer Codes

Information Theory 2019-05-07 v2 math.IT

Abstract

It has been shown that graph-cover pseudocodewords can be used to characterize the behavior of sum-product algorithm (SPA) decoding of classical codes. In this paper, we leverage and adapt these results to analyze SPA decoding of quantum stabilizer codes. We use the obtained insights to formulate modifications to the SPA that overcome some of its weaknesses.

Cite

@article{arxiv.1903.01202,
  title  = {Pseudocodeword-based Decoding of Quantum Stabilizer Codes},
  author = {July X. Li and Pascal O. Vontobel},
  journal= {arXiv preprint arXiv:1903.01202},
  year   = {2019}
}

Comments

This is the extended version of a paper that appears in the proceedings of ISIT 2019 in Paris July 7-12, 2019

R2 v1 2026-06-23T07:57:22.832Z