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We propose a novel, general method to produce orthogonal polynomial dualitiesfrom the $^*$--bialgebra structure of Drinfeld--Jimbo quantum groups. The$^*$--structure allows for the construction of certain \textit{unitary}symmetries, which imply the orthogonality of the duality functions. In the caseof the quantum group $\mathcal{U}_q(\mathfrak{gl}_{n+1})$, the result is anested multivariate $q$--Krawtchouk duality for the $n$--speciesASEP$(q,\boldsymbol{\theta})$. The method also applies to other quantizedsimple Lie algebras and to stochastic vertex models.  As a probabilistic application of the duality relation found, we provide theexplicit formula of the $q-$shifted factorial moments (namely the $q$-analogueof the Pochhammer symbol) for the two--species $q$--TAZRP (totally asymmetriczero range process).

Orthogonal polynomial duality and unitary symmetries of multi--species  ASEP$(q,\boldsymbol{\theta})$ and higher--spin vertex models via  $^*$--bialgebra structure of higher rank quantum groups