English

On the multiplicativity conjecture for quantum channels

Mathematical Physics 2007-05-23 v1 math.MP Quantum Physics

Abstract

A multiplicativity conjecture for quantum communication channels is formulated, validity of which for the values of parameter pp close to 1 is related to the solution of the fundamental problem of additivity of the channel capacity in quantum information theory. The proof of the conjecture is given for the case of natural numbers pp.

Keywords

Cite

@article{arxiv.math-ph/0103015,
  title  = {On the multiplicativity conjecture for quantum channels},
  author = {G. G. Amosov and A. S. Holevo},
  journal= {arXiv preprint arXiv:math-ph/0103015},
  year   = {2007}
}

Comments

7 pages, LATEX, no figures