English

Quantum coding theorem from privacy and distinguishability

Quantum Physics 2008-04-03 v2

Abstract

We prove direct quantum coding theorem for random quantum codes. The problem is separated into two parts: proof of distinguishability of codewords by receiver, and that of indistinguishability of codewords by environment (privacy). For a large class of codes, only privacy has to be checked.

Keywords

Cite

@article{arxiv.quant-ph/0702006,
  title  = {Quantum coding theorem from privacy and distinguishability},
  author = {Michal Horodecki and Seth Lloyd and Andreas Winter},
  journal= {arXiv preprint arXiv:quant-ph/0702006},
  year   = {2008}
}

Comments

Presented at the NATO ARW "Quantum Communication and Security", 10-13 September 2006, Gdansk, Poland; final version to appear in OSID special issue