Distribution of Non-Locality On Quantum Random Circuits

TL;DR

This paper investigates how non-local quantum resources are distributed in quantum random circuits, analyzing multipartite non-locality, entanglement, and the impact of noise, with experiments on real quantum processors to assess resource robustness.

Contribution

It introduces a non-locality-based benchmarking method for quantum devices, comparing ideal and noisy circuits, and evaluates resource distribution across different architectures.

Findings

Non-locality and multipartite nonlocality vary with circuit type and noise levels.

Universal gates produce more robust nonlocal correlations than non-universal sets.

Real quantum processors can partially reproduce ideal nonlocality results, indicating resource robustness.

Abstract

In this work we explore how different types of resources are distributed among the states generated by quantum random circuits (QRC). We focus on multipartite non-locality, but we also analyze quantum correlations by appealing to different entanglement and non-classicality measures. We analyze the violation of Mermin and Svetlichny inequalities in order to get a glance at the distribution of nonlocality and genuine multipartite nonlocality. Next, we compare universal vs non-universal sets of gates, to gain insight into the problem of explaining quantum advantage. By comparing the results obtained with ideal (noiseless) vs noisy intermediate-scale quantum (NISQ) devices, we lay the basis of a certification protocol, which aims to quantify how robust is the resources distribution among the states that a given device can generate. We have implemented our non-locality-based benchmark on actual quantum processors with different architectures, in order to assess up to which point they are capable of reproducing the ideal results.