  The multivariate quantum $q$-Krawtchouk polynomials are shown to arise as
matrix elements of "$q$-rotations" acting on the state vectors of many
$q$-oscillators. The focus is put on the two-variable case. The algebraic
interpretation is used to derive the main properties of the polynomials:
orthogonality, duality, structure relations, difference equations and
recurrence relations. The extension to an arbitrary number of variables is
presented
