# Operational nonclassicality of local multipartite correlations in the limited-dimensional simulation scenario

## TL;DR

This paper investigates the classical simulation of tripartite quantum correlations, introducing the concepts of superlocality, absolute superlocality, and genuine superlocality, and explores their relation to genuine quantum discord.

## Contribution

It defines and analyzes the notions of absolute and genuine superlocality for multipartite correlations, providing specific examples and linking them to genuine quantum discord.

## Key findings

- Genuine superlocality requires genuine quantum discord.
- Examples of genuine superlocality are derived from three-qubit states.
- Genuine superlocality distinguishes quantum correlations beyond bipartite cases.

## Abstract

For a bipartite local quantum correlation, superlocality refers to the requirement for a larger dimension of the random variable in the classical simulation protocol than that of the quantum states that generate the correlations. In this work, we consider the classical simulation of local tripartite quantum correlations $P$ among three parties $A, B$ and $C$. If at least one of the bipartitions $(A|BC)$, $(B|AC)$ and $(C|AB)$ is superlocal, then $P$ is said to be absolutely superlocal, whereas if all three bipartitions are superlocal, then $P$ is said to be genuinely superlocal. We present specific examples of genuine superlocality for tripartite correlations derived from three-qubit states. It is argued that genuine quantumness as captured by the notion of genuine discord is necessary for demonstrating genuine superlocality. Finally, the notions of absolute and genuine superlocality are also defined for multipartite correlations.