Abstract
In this paper, we investigated quantum correlation in SU (2) invariant quantum spin systems by local quantum uncertainty(LQU). These states are invariant under global rotations of both subsystems and in real physical systems, such states arise from thermal equilibrium states of isotropic spin systems. We derive an analytic expression for the LQU of (2j +1)*2 and (2j +1)*3 quantum spin systems with SU (2) symmetry.
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