Gaussian continuous-variable isotropic state

Inspired by the definition of non-Gaussian two-parametric continuous-variable analog an isotropic state introduced Mi\ifmmode \check{s}\else \v{s}\fi{}ta et al. [Phys. Rev. A 65, 062315 (2002)], we propose to take Gaussian part this as independent itself, which yields a simple, but with respect correlation structure interesting, example two-mode state. Unlike conventional states are defined convex combination thermal and entangled density operator, version studied here is corresponding covariance matrices can be understood pure additional noise controlled mixing probability. Using various entanglement criteria measures, study nonclassical correlations contained in previously state, considered features finite threshold parameter space where sets in. In particular, it turns out that exhibits analogous phenomenology finite-dimensional two-qubit