  The reduced properties and applications of Yangian Y(sl(2)) and Y(su(3))
algebras are discussed. By taking a special constraint, the representation of
Y(su(3)) can be divided into three 3 * 3 blocks diagonal based on Gell-mann
matrices. The reduced Yangian Y(sl(2)) and Y(su(3)) are applied to the bi-qubit
system and the mixed light pseudoscalar meson state respectively, and are both
able to make the final states disentangled after acting on the initial state by
the transition operator, composed of the generators of Yangian.
