Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources

TL;DR

This paper introduces models that simulate quantum measurements on GHZ states using only bipartite nonlocal resources, providing insights into quantum correlations and their classical simulation.

Contribution

It presents novel models for simulating von Neumann measurements on GHZ states with bipartite nonlocal boxes, reducing the complexity of quantum correlation simulation.

Findings

Models successfully simulate measurements on GHZ states

Simulation can be translated into classical communication schemes

Efficient bipartite nonlocal resource usage

Abstract

Reproducing with elementary resources the correlations that arise when a quantum system is measured (quantum state simulation), allows one to get insight on the operational and computational power of quantum correlations. We propose a family of models that can simulate von Neumann measurements in the x-y plane of the Bloch sphere on n-partite GHZ states using only bipartite nonlocal boxes. For the tripartite and fourpartite states, the models use only bipartite nonlocal boxes; they can be translated into classical communication schemes with finite average communication cost.