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On the Mathematical Boundaries of Communication with Zero-Capacity Quantum Channels

8 pagesPublished: June 22, 2012

Abstract

In the first decade of the 21st century, many revolutionary properties of quantum channels were discovered. These phenomena are purely quantum mechanical and completely unimaginable in classical systems. Recently, the most important discovery in Quantum Information Theory was the possibility of transmitting quantum information over zero-capacity quantum channels. 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.

Keyphrases: quantum communications, quantum entanglement, quantum information

In: Andrei Voronkov (editor). Turing-100. The Alan Turing Centenary, vol 10, pages 132-139.

BibTeX entry
@inproceedings{Turing-100:Mathematical_Boundaries_Communication_with,
  author    = {Laszlo Gyongyosi and Sandor Imre},
  title     = {On the Mathematical Boundaries of Communication with Zero-Capacity Quantum Channels},
  booktitle = {Turing-100. The Alan Turing Centenary},
  editor    = {Andrei Voronkov},
  series    = {EPiC Series in Computing},
  volume    = {10},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-7340},
  url       = {/publications/paper/dvsF},
  doi       = {10.29007/7h1q},
  pages     = {132-139},
  year      = {2012}}
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