Reply to the comment on "Loophole-free Bell test for continuous variables via wave and particle correlations"

TL;DR

This paper addresses criticisms of previous work on Bell tests for continuous variables, clarifying issues related to local-hidden-variable models and experimental violations.

Contribution

It provides a detailed response to comments challenging the validity of earlier Bell test results for continuous variables.

Findings

Counter local-hidden-variable model explained

Clarification of issues in Bell test violations

Reinforcement of the original experimental conclusions

Abstract

In a recent note, Cavalcanti and Scarani (CS) constructed a counter local-hidden-variable model to explain the violation of our inequalities in Phys. Rev. Lett. 105, 170404 (2010). Here, we briefly discuss some issues in response to the comments raised by CS.