Computational power of correlations

TL;DR

This paper investigates the computational capabilities of correlations in measurement-based quantum computation, establishing a framework that links entanglement, nonlocality, and classical computational resources.

Contribution

It introduces a formal framework for understanding the computational power of correlations and identifies optimal resource states, revealing a connection between nonlocality and computational power.

Findings

GHZ and CHSH problems are optimal examples of resource states.

Violations of local realism relate to the computational power of entangled states.

Framework formalizes the resource theory of classical computation via quantum correlations.

Abstract

We study the intrinsic computational power of correlations exploited in measurement-based quantum computation. By defining a general framework the meaning of the computational power of correlations is made precise. This leads to a notion of resource states for measurement-based \textit{classical} computation. Surprisingly, the Greenberger-Horne-Zeilinger and Clauser-Horne-Shimony-Holt problems emerge as optimal examples. Our work exposes an intriguing relationship between the violation of local realistic models and the computational power of entangled resource states.