License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TQC.2015.180
URN: urn:nbn:de:0030-drops-55567
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2015/5556/
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Garcia-Patron, Raul ; Matthews, William ; Winter, Andreas

Quantum Enhancement of Randomness Distribution

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Abstract

The capability of a given channel to transmit information is, a priori, distinct from its capability to distribute random correlations. Despite that, for classical channels, the capacity to distribute information and randomness turns out to be the same, even with the assistance of auxiliary communication. In this work we show that this is no longer true for quantum channels when feedback is allowed. We prove this by constructing a channel that is noisy for the transmission of information but behaves as a virtual noiseless channel for randomness distribution when assisted by feedback communication. Our result can be seen as a way of unlocking quantum randomness internal to the channel.

BibTeX - Entry

@InProceedings{garciapatron_et_al:LIPIcs:2015:5556,
  author =	{Raul Garcia-Patron and William Matthews and Andreas Winter},
  title =	{{Quantum Enhancement of Randomness Distribution}},
  booktitle =	{10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)},
  pages =	{180--190},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-96-5},
  ISSN =	{1868-8969},
  year =	{2015},
  volume =	{44},
  editor =	{Salman Beigi and Robert Koenig},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2015/5556},
  URN =		{urn:nbn:de:0030-drops-55567},
  doi =		{10.4230/LIPIcs.TQC.2015.180},
  annote =	{Keywords: Quantum Shannon theory, noisy channels, capacity, randomness}
}

Keywords: Quantum Shannon theory, noisy channels, capacity, randomness
Collection: 10th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2015)
Issue Date: 2015
Date of publication: 04.11.2015

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