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The $q$-deformed Bannai-Ito algebra was recently constructed in the threefoldtensor product of the quantum superalgebra $\mathfrak{osp}_q(1\vert 2)$. Itturned out to be isomorphic to the Askey-Wilson algebra. In the present paperthese results will be extended to higher rank. The rank $n-2$ $q$-Bannai-Itoalgebra $\mathcal{A}_n^q$, which by the established isomorphism also yields ahigher rank version of the Askey-Wilson algebra, is constructed in the $n$-foldtensor product of $\mathfrak{osp}_q(1\vert 2)$. An explicit realization interms of $q$-shift operators and reflections is proposed, which will be calledthe $\mathbb{Z}_2^n$ $q$-Dirac-Dunkl model. The algebra $\mathcal{A}_n^q$ isshown to arise as the symmetry algebra of the constructed $\mathbb{Z}_2^n$$q$-Dirac-Dunkl operator and to act irreducibly on modules of its polynomialnull-solutions. An explicit basis for these modules is obtained using a$q$-deformed $\mathbf{CK}$-extension and Fischer decomposition.

The higher rank $q$-deformed Bannai-Ito and Askey-Wilson algebra