Bell inequality for quNits with binary measurements

H. Bechmann-Pasquinucci; N. Gisin

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Bell inequality for quNits with binary measurements

H. Bechmann-Pasquinucci·N. Gisin

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Abstract

We present a generalized Bell inequality for two entangled quNits. On one quNit the choice is between two standard von Neumann measurements, whereas for the other quNit there are $N^2$ different binary measurements. These binary measurements are related to the intermediate states known from eavesdropping in quantum cryptography. The maximum violation by $\sqrt{N}$ is reached for the maximally entangled state. Moreover, for N=2 it coincides with the familiar CHSH-inequality.

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H. Bechmann-Pasquinucci, N. Gisin. 2002-04-21. Bell inequality for quNits with binary measurements. https://arxiv.org/abs/quant-ph/0204122

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