  Recent study suggests that there are natural connections between quantum
information theory and the Yang--Baxter equation. In this paper, in terms of
the generalized almost-complex structure and with the help of its algebra, we
define the generalized Bell matrix to yield all the GHZ states from the product
base, prove it to form a unitary braid representation and present a new type of
solution of the quantum Yang--Baxter equation. We also study
Yang-Baxterization, Hamiltonian, projectors, diagonalization, noncommutative
geometry, quantum algebra and FRT dual algebra associated with this generalized
Bell matrix.
