English

Quantum error correction with degenerate codes for correlated noise

Quantum Physics 2015-05-19 v2

Abstract

We introduce a quantum packing bound on the minimal resources required by nondegenerate error correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.

Keywords

Cite

@article{arxiv.1007.3655,
  title  = {Quantum error correction with degenerate codes for correlated noise},
  author = {Giulio Chiribella and Michele Dall'Arno and Giacomo Mauro D'Ariano and Chiara Macchiavello and Paolo Perinotti},
  journal= {arXiv preprint arXiv:1007.3655},
  year   = {2015}
}

Comments

5 pages, published version

R2 v1 2026-06-21T15:50:58.360Z