Exponential Communication Complexity Advantage from Quantum Superposition of the Direction of Communication

Author(s)
Philippe Allard Guerin, Adrien Feix, Mateus Araújo, Caslav Brukner
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.

Organisation(s)
Quantum Optics, Quantum Nanophysics and Quantum Information
Journal
Physical Review Letters
Volume
117
No. of pages
5
ISSN
0031-9007
DOI
https://doi.org/10.1103/PhysRevLett.117.100502
Publication date
09-2016
Peer reviewed
Yes
Austrian Fields of Science 2012
103025 Quantum mechanics
ASJC Scopus subject areas
Physics and Astronomy(all)
Portal url
https://ucrisportal.univie.ac.at/en/publications/exponential-communication-complexity-advantage-from-quantum-superposition-of-the-direction-of-communication(4960ca39-e5da-455c-98c2-c6bf65e3ff7b).html