Electromagnetic radiation beyond the diffraction limit with a particular polarization emerges as a need for plasmonic applications. One of these applications is all-optical magnetic recording, which requires circularly-polarized electromagnetic radiation. In this study, a plasmonic cross-dipole nano-antenna is illuminated with diffraction-limited linearly polarized radiation. An optimal configuration for the nano-antenna and the polarization angle of the incident light is identified to obtain linearly, circularly, and elliptically polarized optical spots beyond the diffraction limit. The Poincaré sphere representation is utilized to visually present calculated Stokes parameters for optical spots with linear, circular, and elliptical polarizations from specific antenna geometries.