  Quantumness and separability criteria for continuous variable systems are
discussed for the case of a noncommutative (NC) phase-space. In particular, the
quantum nature and the entanglement configuration of NC two-mode Gaussian
states are examined. Two families of covariance matrices describing standard
quantum mechanics (QM) separable states are deformed into a NC QM configuration
and then investigated through the positive partial transpose criterium for
identifying quantum entanglement. It is shown that the entanglement of Gaussian
states may be exclusively induced by switching on the NC deformation.
Extensions of some preliminary results are presented.
