A note on "Loophole-free Bell test for continuous variables via wave and particle correlations (Phys. Rev. Lett. 105, 170404 (2010))"

TL;DR

This paper clarifies that certain inequalities proposed as Bell tests are not true Bell inequalities, as classical models can violate them, limiting their use for device-independent nonlocality verification.

Contribution

It critically analyzes a previous proposal, showing these inequalities do not serve as genuine Bell inequalities for device-independent nonlocality tests.

Findings

The inequalities are not Bell's inequalities in the traditional sense.

Classical models can violate these inequalities.

They are limited to specific physical assumptions.

Abstract

The inequalities proposed in [Phys. Rev. Lett. 105, 170404 (2010)] are not Bell's inequalities in the usual sense: there are local classical models that violate these inequalities. Thus, their violation demonstrates nonlocality only under assumptions about the physical implementation and moreover they cannot be used as a device-independent test of nonlocality.