Superactivation of Quantum Channels is Limited by the Quantum Relative Entropy Function
Quantum Physics
2012-06-26 v1 Information Theory
math.IT
Abstract
In this work we prove that the possibility of superactivation of quantum channel capacities is determined by the mathematical properties of the quantum relative entropy function. Before our work this fundamental and purely mathematical connection between the quantum relative entropy function and the superactivation effect was completely unrevealed. We demonstrate the results for the quantum capacity; however the proposed theorems and connections hold for all other channel capacities of quantum channels for which the superactivation is possible.
Keywords
Cite
@article{arxiv.1206.5691,
title = {Superactivation of Quantum Channels is Limited by the Quantum Relative Entropy Function},
author = {Laszlo Gyongyosi and Sandor Imre},
journal= {arXiv preprint arXiv:1206.5691},
year = {2012}
}
Comments
14 pages, Journal-ref: Quantum Information Processing (accepted)