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Within the Ginzburg-Landau formalism, we predict two novel mechanisms ofvortex-antivortex nucleation in a magnetically nanostructured superconductor.Although counterintuitive, nucleation of vortex-antivortex pairs can beactivated in a superconducting (SC) film covered by arrays of submicronferromagnets (FMs) when exposed to an external homogeneous magnetic field. Inanother scenario, we predict the thermal induction of vortex-antivortexconfigurations in SC/FM samples. This phenomenon leads to a new type ofLittle-Parks oscillations of the FM magnetization-temperature phase boundary ofthe superconducting film.Comment: 4 pages, 5 figures, to appear in Physical Review Letter

Vortex-Antivortex Nucleation in Magnetically Nanotextured Superconductors: Magnetic-Field-Driven and Thermal Scenarios