English

Simplification of additivity conjecture in quantum information theory

Quantum Physics 2007-08-21 v2

Abstract

We simplify some conjectures in quantum information theory; the additivity of minimal output entropy, the multiplicativity of maximal output p-norm and the superadditivity of convex closure of output entropy. We construct a unital channel for a given channel so that they share the above additivity properties; we can reduce the conjectures for all channels to those for unital channels.

Keywords

Cite

@article{arxiv.quant-ph/0608010,
  title  = {Simplification of additivity conjecture in quantum information theory},
  author = {Motohisa Fukuda},
  journal= {arXiv preprint arXiv:quant-ph/0608010},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T19:56:21.289Z