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We calculate the Wigner (quasi)probability distribution function of thequantum optical elliptical vortex (QEV), generated by coupling squeezed vacuumstates of two modes. The coupling between the two modes is performed by usingbeam splitter (BS) or a dual channel directional coupler (DCDC). The quantuminterference due to the coupling between the two modes promises the generationof controlled entanglement for quantum computation and quantum tomography. Wecompute the entanglement of such QEV formed by non-classical radiation field,using Wigner function. We report a critical squeezing parameter above which theentanglement is less for higher vorticity, which is counter intuitive.

Wigner distribution function and entanglement of generalized quantum optical vortex