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Deterministic quantum non-locality and graph colorings

Viktor Galliard, Alain Tapp

2013enquantumnon-localentanglementcommunicationgraph

Abstract

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One of the most fascinating consequences of quantum theory are non-local correlations: Two – possibly distant – parts of a system can have a behavior under measurements unexplainable by shared information. A manifestation thereof is so-called pseudo-telepathy: Tasks that can be performed by two parties who share a quantum state, whereas classically, communication would be necessary to always succeed. We show that pseudo-telepathy games can often be modeled by graphs: The classical strategy to win the game is a coloring of this graph with a given number of colors. We discuss these parallels and study the class of graphs corresponding to the first two-party pseudo-telepathy game, proposed by Brassard, Cleve, and Tapp in 1999. This leads to a proof that the game indeed has the desired property.

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@article{55ab0024-76ff-442a-a66f-288c59d06bae,
  title={Deterministic quantum non-locality and graph colorings},
  author={Viktor Galliard and Alain Tapp},
  year={2013},
  language={en}
}
TY  - JOUR
TI  - Deterministic quantum non-locality and graph colorings
AU  - Viktor Galliard
AU  - Alain Tapp
PY  - 2013
LA  - en
ER  -

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