Multi-setting Bell inequality for qudits

Details Multi-setting Bell inequality for qudits Multi-setting Bell inequality for qudits

2008-10-16

arxiv.org/abs/0810.2838v1

Phys. Rev. A 78, 052103 (2008)

Physics

Quantum Physics

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.78.052103

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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