The applications of the general and reduced Yangian Y(sl(2)) and Y(su(3)) algebras are discussed in the bi-qubit system and mixed light pseudoscalar meson state. By taking a special constraint, the representation of Y(sl(2)) and Y(su(3)) can be divided into two 2 × 2 and three 3 × 3 blocks diagonal, respectively. The effects of every generator of Y(sl(2)) and Y(su(3)) on entanglement are represented in detail. We find that the general ones are not able to make the initial states disentangled by acting on the initial states; however, the reduced ones are able to make the initial states disentangled. In addition, we show the effects of Y(su(3)) generators on the decay channel and give some possible the decay channels.
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