  This work is a generalization of \cite{baldiotti2021} to Grassmann algebras
of arbitrary dimensions. Here we present a covariant quantization scheme for
pseudoclassical theories focused on non-hermitian quantum mechanics. The
quantization maps canonically related pseudoclassical theories to equivalent
quantum realizations in arbitrary dimensions. We apply the formalism to the
problem of two coupled spins with Heisenberg interaction.
