English

Linear Logic and Quantum Error Correcting Codes

Logic 2024-05-30 v1 Quantum Physics

Abstract

We develop a point of view on reduction of multiplicative proof nets based on quantum error-correcting codes. To each proof net we associate a code, in such a way that cut-elimination corresponds to error correction.

Keywords

Cite

@article{arxiv.2405.19051,
  title  = {Linear Logic and Quantum Error Correcting Codes},
  author = {Daniel Murfet and William Troiani},
  journal= {arXiv preprint arXiv:2405.19051},
  year   = {2024}
}