Observation of tunable Popescu-Rohrlich correlations through post-selection of a gaussian state

TL;DR

This paper demonstrates that Popescu-Rohrlich non-local correlations can be observed through post-selected measurements on entangled Gaussian states, revealing fundamental non-locality beyond standard quantum mechanics.

Contribution

It introduces a method to observe Popescu-Rohrlich correlations using post-selection on Gaussian states, achieving high CHSH violation and implementing a non-local AND gate.

Findings

Maximum CHSH violation of 3.42 observed

Success probability of 0.93 for the non-local AND gate

Experimental setup based on spatial correlations of entangled photons

Abstract

We show that non-local Popescu-Rohrlich correlations can be observed in the post-selected results of binned position measurements on a two-party gaussian state. Our experiment is based on the spatial correlations of entangled photons and lens systems. We obtain a maximum violation of the CHSH inequality of 3.42, which corresponds to the implementation of a non-local AND gate with success probability of 0.93. These results do not conflict with quantum mechanics due to the post-selection required, and open up the possibility of experimental investigation of fundamental aspects of Popescu-Rohrlich non-locality with a reliable and simple experimental setup.