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Winning strategies for pseudo-telepathy games using single non-local box

Samir Kunkri·Guruprasad Kar·Sibasish Ghosh·Anirban Roy
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Abstract

Using a single NL-box, a winning strategy is given for the impossible colouring pseudo-telepathy game for the set of vectors having Kochen-Specker property in four dimension. A sufficient condition to have a winning strategy for the impossible colouring pseudo-telepathy game for general $d$-dimension, with single use of NL-box, is then described. It is also shown that the magic square pseudo-telepathy game of any size can be won by using just two ebits of entanglement -- for quantum strategy, and by a single NL-box -- for non-local strategy.

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Samir Kunkri, Guruprasad Kar, Sibasish Ghosh, Anirban Roy. 2006-02-20. Winning strategies for pseudo-telepathy games using single non-local box. https://arxiv.org/abs/quant-ph/0602064

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