Title
Quantum Advantages Of Communication Complexity From Bell Nonlocality
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 that encodes the information of each edge can be constructed; then, using this target function, we can construct a CC function, and by pre-sharing entangled states, its success probability exceeds that of the arbitrary classical strategy. The non-signaling protocol based on the Popescu-Rohrlich box is also discussed, and the success probability in this case reaches one.
Year
DOI
Venue
2021
10.3390/e23060744
ENTROPY
Keywords
DocType
Volume
Bell nonlocality, entanglement, communication complexity
Journal
23
Issue
ISSN
Citations 
6
1099-4300
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Jia Zhih-Ahn100.34
Wei Lu200.34
Wu Yu-Chun300.68
Guangcan Guo4229.33