Quantum Physics

    

Measurement Theory Based on the Truth Values Provides the Maximum Violation of the Bell-Mermin Inequality

Authors: Koji Nagata, Tadao Nakamura

We investigate the violation factor of the Bell-Mermin inequality. Until now, we use an assumption that the results of measurement are $\pm 1$. In this case, the maximum violation factor is $2^{(n-1)/2}$. The quantum predictions by $n$-partite Greenberger-Horne-Zeilinger (GHZ) state violate the Bell-Mermin inequality by an amount that grows exponentially with $n$. Recently, a new measurement theory based on the truth values is proposed. The values of measurement outcome are either $+1$ or 0. Here we use the new measurement theory. We consider multipartite GHZ state. It turns out that the Bell-Mermin inequality is violated by the amount of $2^{(n-1)/2}$. The measurement theory based on the truth values provides the maximum violation of the Bell-Mermin inequality.

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[v1] 2016-04-23 03:51:49

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