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arXiv · 0810.2838

Multi-setting Bell inequality for qudits

Se-Wan Ji·Jinhyoung Lee·James Lim·Koji Nagata·Hai-Woong Lee
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Abstract

We propose a generalized Bell inequality for two three-dimensional systems with three settings in each local measurement. It is shown that this inequality is maximally violated if local measurements are configured to be mutually unbiased and a composite state is maximally entangled. This feature is similar to Clauser-Horne-Shimony-Holt inequality for two qubits but is in contrast with the two types of inequalities, Collins-Gisin-Linden-Massar-Popescu and Son-Lee-Kim, for high-dimensional systems. The generalization to aribitrary prime-dimensional systems is discussed.

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Se-Wan Ji, Jinhyoung Lee, James Lim, Koji Nagata, Hai-Woong Lee. 2008-10-16. Multi-setting Bell inequality for qudits. https://doi.org/10.1103/physreva.78.052103

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