Distribution of Non-Locality On Quantum Random Circuits
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.
Cite
@article{arxiv.2405.01650,
title = {Distribution of Non-Locality On Quantum Random Circuits},
author = {Andrés Camilo Granda Arango and Federico Hernán Holik and Roberto Giuntini and Hector Freytes and Giuseppe Sergioli},
journal= {arXiv preprint arXiv:2405.01650},
year = {2025}
}
Comments
20 pages, 19 figures, 1 table. Published in Phys. Rev. A (2025)