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Abstract: We investigate the violation of local realism in Bell tests involvinghomodyne measurements performed on multimode continuous-variable states. Bybinning the measurement outcomes in an appropriate way, we prove that theMermin-Klyshko inequality can be violated by an amount that grows exponentiallywith the number of modes. Furthermore, the maximum violation allowed by quantummechanics can be attained for any number of modes, albeit requiring a quantumstate that is rather unrealistic. Interestingly, this exponential increase ofthe violation holds true even for simpler states, such as multipartite GHZstates. The resulting benefit of using more modes is shown to be significant inpractical multipartite Bell tests by analyzing the increase of the robustnessto noise with the number of modes. In view of the high efficiency achievablewith homodyne detection, our results thus open a possible way to feasibleloophole-free Bell tests that are robust to experimental imperfections. Weprovide an explicit example of a three-mode state a superposition of coherentstates which results in a significantly high violation of the Mermin-Klyshkoinequality around 10% with homodyne measurements.

Autor: Antonio Acín, Nicolas J. Cerf, Alessandro Ferraro, Julien Niset

Fuente: https://arxiv.org/

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