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arXiv · 2004.05098

Quantum advantages of communication complexity from Bell nonlocality

Zhih-Ahn Jia·Lu Wei·Yu-Chun Wu·Guang-Can Guo
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Abstract

Communication games are crucial tools for investigating the limitations of physical theories. The communication complexity (CC) problem is a typical example, for which several distributed parties attempt to jointly calculate a given function with limited classical communications. In this work, we present a method to construct CC problems from Bell tests in a graph-theoretic way. Starting from an experimental compatibility graph and the corresponding Bell test function, a target function which encodes the information of each edge can be constructed, then using this target function we could construct an CC function for which by pre-sharing entangled states, the success probability will exceed that for arbitrary classical strategy. The non-signaling protocol based on Popescu-Rohrlich box is also discussed, and the success probability in this case would reach one.

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Zhih-Ahn Jia, Lu Wei, Yu-Chun Wu, Guang-Can Guo. 2021-06-01. Quantum advantages of communication complexity from Bell nonlocality. https://doi.org/10.3390/e23060724

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