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arXiv · 1112.2856

Worst case analysis of non-local games

Andris Ambainis·Arturs Backurs·Kaspars Balodis·Agnis Skuskovniks·Juris Smotrovs·Madars Virza
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Abstract

Non-local games are studied in quantum information because they provide a simple way for proving the difference between the classical world and the quantum world. A non-local game is a cooperative game played by 2 or more players against a referee. The players cannot communicate but may share common random bits or a common quantum state. A referee sends an input $x_i$ to the $i^{th}$ player who then responds by sending an answer $a_i$ to the referee. The players win if the answers $a_i$ satisfy a condition that may depend on the inputs $x_i$. Typically, non-local games are studied in a framework where the referee picks the inputs from a known probability distribution. We initiate the study of non-local games in a worst-case scenario when the referee's probability distribution is unknown and study several non-local games in this scenario.

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Andris Ambainis, Arturs Backurs, Kaspars Balodis, Agnis Skuskovniks, Juris Smotrovs, Madars Virza. 2011-12-13. Worst case analysis of non-local games. https://arxiv.org/abs/1112.2856

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