Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication
Abstract
In communication complexity, a number of distant parties have the task of calculating a distributed function of their inputs, while minimizing the amount of communication between them. It is known that with quantum resources, such as entanglement and quantum channels, one can obtain significant reductions in the communication complexity of some tasks. In this work, we study the role of the quantum superposition of the direction of communication as a resource for communication complexity. We present a tripartite communication task for which such a superposition allows for an exponential saving in communication, compared to one-way quantum (or classical) communication; the advantage also holds when we allow for protocols with bounded error probability.
Keywords
Cite
@article{arxiv.1605.07372,
title = {Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication},
author = {Philippe Allard Guérin and Adrien Feix and Mateus Araújo and Časlav Brukner},
journal= {arXiv preprint arXiv:1605.07372},
year = {2016}
}
Comments
5 pages, 2 figures. Published version