Proposal for a loophole-free violation of Bell 's inequalities with a set of single photons and homodyne measurements

We demonstrate that different kinds of mesoscopic quantum states of light can be efficiently generated from a simple iterative scheme. These states exhibit strong non-classical features, and could be of great interest for many applications such as quantum error-correcting codes or fundamental testings. Based on these states, we further propose a protocol allowing a large loophole-free violation of a Clauser-Horne-Shimony-Holt (CHSH)-type Bell 's inequality with significant losses, thus showing that the quantum properties of some of these states can exhibit a remarkable robustness to losses.