QUANTUM ALGEBRA IN THE MIXED LIGHT PSEUDOSCALAR MESON STATES Li-Jun Tian, 1, ∗ Yan-Ling Jin, 1, † and Ying Jiang 1, ‡ $^{1}$Department of Physics, Shanghai University, Shanghai 200444, P.R. China In this paper, we investigate the entanglement degrees of pseudoscalar meson states via quantum algebra Y ( su (3)). By making use of transition effect of generators J of Y ( su (3)), we construct various transition operators in terms of J of, and act them on η - π $^{0}$- η ′ mixing meson state. The entanglement degrees of both the initial state and final state are calculated with the help of entropy theory. The diagrams of entanglement degrees are presented. Our result shows that a state with desired entanglement degree can be achieved by acting proper chosen transition operator on an initial state. This sheds new light on the connect among quantum information, particle physics and Yangian algebra. Keywords: Yangian Y ( su (3)); η - π $^{0}$- η ′ mixing; the entanglement degree PACS numbers: 02.20.-a, 03.65.-w, 21.65.-f Abstract arXiv:1001.3722v1 [quant-ph] 21 Jan 2010 $^{∗}$Electronic address: tianlijun@shu.edu.cn $^{†}$Electronic address: jinyanling@shu.edu.cn $^{‡}$Electronic address: yjiang@shu.edu.cn 1