Information Geometric Superactivation of Asymptotic Quantum Capacity and Classical Zero-Error Capacity of Zero-Capacity Quantum Channels

Laszlo Gyongyosi

Information Geometric Superactivation of Asymptotic Quantum Capacity and Classical Zero-Error Capacity of Zero-Capacity Quantum Channels

Quantum Physics 2013-03-06 v3 Information Theory math.IT

Authors: Laszlo Gyongyosi

Abstract

The superactivation of zero-capacity quantum channels makes it possible to use two zero-capacity quantum channels with a positive joint capacity at the output. Currently, we have no theoretical background for describing all possible combinations of superactive zero-capacity channels; hence, there may be many other possible combinations. In this PhD Thesis I provide an algorithmic solution to the problem of superactivation and prove that superactivation effect is rooted in information geometric issues.

Keywords

superactivation zero-capacity quantum channels asymptotic quantum capacity classical zero-error capacity information geometry algorithmic solution

Cite

@article{arxiv.1206.5980,
  title  = {Information Geometric Superactivation of Asymptotic Quantum Capacity and Classical Zero-Error Capacity of Zero-Capacity Quantum Channels},
  author = {Laszlo Gyongyosi},
  journal= {arXiv preprint arXiv:1206.5980},
  year   = {2013}
}

Comments

Ph.D. Thesis, Budapest University of Technology and Economics, 2013, 392 pages, 4 tables, 128 figures

Information Geometric Superactivation of Asymptotic Quantum Capacity and Classical Zero-Error Capacity of Zero-Capacity Quantum Channels

Abstract

Keywords

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