The lower bounds of decay rates for global solution to the compressible viscous quantum magnetohydrodynamic model in three‐dimensional whole space under the H5 × H4 × H4 framework are investigated in this paper. We first show that the lower bound of decay rate for the solution converging to constant equilibrium state (1, 0, 0) in L2‐norm is false(1+tfalse)−34 when the initial data satisfy some low‐frequency assumption. Moreover, we prove that the lower bound of decay rate of k(k ∈ [1, 3]) order spatial derivative for the solution converging to constant equilibrium state (1, 0, 0) in L2‐norm is false(1+tfalse)−3+2k4. Then, we show that the lower bound of decay rate for the time derivatives of density and velocity is false(1+tfalse)−54, but the lower bound of decay rate for the time derivative of magnetic field converging to zero in L2‐norm is false(1+tfalse)−74.

The original version of this article unfortunately contained a mistake. The spelling of the first author's name was incorrect. The correct spelling is Li XIA.

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