  It is shown that the ${\cal N}=1$ supersymmetric quantum mechanics (SQM) can
be extended to a $\mathbb{Z}_2^n$-graded superalgebra. This is done by
presenting quantum mechanical models which realize, with the aid of Clifford
gamma matrices, the $\mathbb{Z}_2^n$-graded Poincar\'e algebra in
one-dimensional spacetime. Reflecting the fact that the $\mathbb{Z}_2^n$-graded
Poincar\'e algebra has a number of central elements, a sequence of models
defining the $\mathbb{Z}_2^n$-graded version of SQM are provided for a given
value of $n.$ In a model of the sequence, the central elements having the same
$\mathbb{Z}_2^n$-degree are realized as dependent or independent operators. It
is observed that as use the Clifford algebra of lager dimension, more central
elements are realized as independent operators.
