  Magnetically-levitated superconducting microparticles have been recently
proposed as a promising platform for performing quantum experiments with
particles in the picogram regime. Here, we demonstrate the superconducting
technology to achieve chip-based magnetic levitation of superconducting
microparticles. We simulate and fabricate a chip-based magnetic trap capable of
levitating superconducting particles with diameters from 0.5$\,\mu$m to
200$\,\mu$m. The trap consists of two stacked silicon chips, each patterned
with a planar multi-winding superconducting coil made of niobium. The two coils
generate a magnetic field resembling a quadrupole near the trap center, in
which we demonstrate trapping of a spherical 50\,$\mu$m diameter SnPb
microparticle at temperatures of 4\,K and 40\,mK.
