  In this parer, q-deformed oscillator for pseudo-Hermitian systems is
investigated and pseudo-Hermitian appropriate coherent and squeezed states are
studied. Also, some basic properties of these states is surveyed. The
over-completeness property of the para-Grassmannian pseudo-Hermitian coherent
states (PGPHCSs) examined, and also the stability of coherent and squeezed
states discussed. The pseudo-Hermitian supercoherent states as the product of a
pseudo-Hermitian bosonic coherent state and a para-Grassmannian
pseudo-Hermitian coherent state introduced, and the method also developed to
define pseudo-Hermitian supersqueezed states. It is also argued that, for
q-oscillator algebra of $k+1$ degree of nilpotency based on the changed ladder
operators, defined in here, we can obtain deformed $SU_{q^2}(2)$ and
$SU_{q^{2k}}(2)$ and also $SU_{q^{2k}}(1,1)$. Moreover, the entanglement of
multi-level para-Grassmannian pseudo-Hermitian coherent state will be
considered. This is done by choosing an appropriate weight function, and
integrating over tensor product of PGPHCSs.
