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DOI: 10.4230/LIPIcs.TQC.2014.67
URN: urn:nbn:de:0030-drops-48074
URL: http://drops.dagstuhl.de/opus/volltexte/2014/4807/
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Chailloux, André ; Mancinska, Laura ; Scarpa, Giannicola ; Severini, Simone

Graph-theoretical Bounds on the Entangled Value of Non-local Games

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Abstract

We introduce a novel technique to give bounds to the entangled value of non-local games. The technique is based on a class of graphs used by Cabello, Severini and Winter in 2010. The upper bound uses the famous Lovŕsz theta number and is efficiently computable; the lower one is based on the quantum independence number, which is a quantity used in the study of entanglement-assisted channel capacities and graph homomorphism games.

BibTeX - Entry

@InProceedings{chailloux_et_al:LIPIcs:2014:4807,
  author =	{Andr{\'e} Chailloux and Laura Mancinska and Giannicola Scarpa and Simone Severini},
  title =	{{Graph-theoretical Bounds on the Entangled Value of Non-local Games}},
  booktitle =	{9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)},
  pages =	{67--75},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-73-6},
  ISSN =	{1868-8969},
  year =	{2014},
  volume =	{27},
  editor =	{Steven T. Flammia and Aram W. Harrow},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2014/4807},
  URN =		{urn:nbn:de:0030-drops-48074},
  doi =		{10.4230/LIPIcs.TQC.2014.67},
  annote =	{Keywords: Graph theory, non-locality, entangled games}
}

Keywords: Graph theory, non-locality, entangled games
Seminar: 9th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2014)
Issue Date: 2014
Date of publication: 26.11.2014


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