In the work, we present the structure of the tight Bell inequalities for three-particle systems. Interesting Bell inequalities for three qubits that reducing from those of three qudits are also studied.
We present tight Bell inequalities expressed by probabilities for three four- and five-dimensional systems. A tight structure of Bell inequalities for three d-dimensional systems (qudits) is proposed. Some interesting Bell inequalities of three qubits reduced from those of three qudits are also studied.