Quantum communication complexity advantage implies violation of a Bell inequality
Quantum Physics
2016-09-16 v4
Abstract
We obtain a general connection between a quantum advantage in communication complexity and non-locality. We show that given any protocol offering a (sufficiently large) quantum advantage in communication complexity, there exists a way of obtaining measurement statistics which violate some Bell inequality. Our main tool is port-based teleportation. If the gap between quantum and classical communication complexity can grow arbitrarily large, the ratio of the quantum value to the classical value of the Bell quantity becomes unbounded with the increase in the number of inputs and outputs.
Cite
@article{arxiv.1502.01058,
title = {Quantum communication complexity advantage implies violation of a Bell inequality},
author = {Harry Buhrman and Lukasz Czekaj and Andrzej Grudka and Michal Horodecki and Pawel Horodecki and Marcin Markiewicz and Florian Speelman and Sergii Strelchuk},
journal= {arXiv preprint arXiv:1502.01058},
year = {2016}
}
Comments
main text did not change. Modified the acknowledgements section