  We study the quadrature uncertainty of the quantum elliptical vortex state
using the associated Wigner function. Deviations from the minimum uncertainty
states were observed due to the absence of the Gaussian nature. In our study of
the entropy, we noticed that with increasing vorticity, entropy increases for
both the modes. We further observed that, there exists an optimum value of
ellipticity which gives rise to maximum entanglement of the two modes of the
quantum elliptical vortex states. A further increase in ellipticity reduces the
entropy thereby resulting in a loss of information carrying capacity. We check
the validity of the entropic inequality relations, namely the subaddivity and
the Araki-Lieb inequality. The later was satisfied only for a very small range
of the ellipticity of the vortex while the former seemed to be valid at all
values.
