Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
Computational Complexity
2010-09-21 v1 Metric Geometry
Quantum Physics
Abstract
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only qubits, but for which any classical (randomized, bounded-error) protocol requires bits of communication. That quantum protocol requires two rounds of communication. Ever since Raz's paper it was open whether the same exponential separation can be achieved with a quantum protocol that uses only one round of communication. Here we settle this question in the affirmative.
Cite
@article{arxiv.1009.3640,
title = {Quantum One-Way Communication is Exponentially Stronger Than Classical Communication},
author = {Bo'az Klartag and Oded Regev},
journal= {arXiv preprint arXiv:1009.3640},
year = {2010}
}