Quantum Levitation Question

It should. All you want is a uniform field in direction you want the Type II to "glide" and a gradient in direction you want it to be "locked". This magnet has poles on flat ends, so magnetic field is uniform as you go around, but changes as you get closer or further. If you manage to trap magnetic field in the flux tubes of HTSC, it should do exactly what you want. And it should be just a matter of cooling HTSC with LN2, but I've never tried this bit myself, so take it with a grain of salt.

P.S. This would probably better fit in the Atomic/Solid State branch of the forum. I mean, Superconductivity is a quantum effect, but "Quantum Levitation" is a huge misnomer. It'd be like saying, "Quantum Laser." Completely redundant and misleading.

Besides, everything you are going to need to know for this has nothing to do with Quantum Mechanics. I encourage you to see how much of QM side of superconductor physics you can understand, but don't worry if it isn't much. On the other hand, the electromagnetic aspects of it should be entirely within your grasp, perhaps, with some reading.