English

Classical simulations of communication channels

Information Theory 2022-06-29 v4 Mathematical Physics math.IT math.MP Quantum Physics

Abstract

We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount' of noise. It is proved that any noisy quantum channel can be simulated by a corresponding classical channel with `the same amount' of noise. Classical simulations of general probabilistic channels are also studied.

Cite

@article{arxiv.2101.10985,
  title  = {Classical simulations of communication channels},
  author = {Péter E. Frenkel},
  journal= {arXiv preprint arXiv:2101.10985},
  year   = {2022}
}

Comments

16 pages. This is the version to appear in Quantum. Minor changes requested by the referee have been made

R2 v1 2026-06-23T22:33:27.390Z