The Schrodinger is an enemy in Final Fantasy XIII-2 encountered once on the final platform in Academia -500 AF- along with a Proto-behemoth. The player must lock the gate to encounter them again. The Schrodinger spawn will only occur once every gate lock, but the player will most likely have to encounter it many times before taming both it and the Proto-behemoth.
Given their high resistance to all attacks and spells, they can be more of a nuisance than a threat. The only thing to be wary of is their Deprotega spell, which compliments the Proto-behemoth's ridiculously high strength.
Only Schrodinger, Cactuaroni, and Sahagin Prince have the Auto-Haste ability available for infusion (Yeoman and Samovira have it red-locked). Auto-Haste, Resist Elements +30%, and Auto-Tetradefense are the only three abilities with the highest (ninth) rank, so they can never be replaced by other abilities.
As a monster ally the Schrodinger is, like Forked Cat, a Saboteur. It begins as a rank three monster, and can be raised all the way to level 70 and rank five, with two choices of ATB segments or Role bonuses on the way. It acquires a wide variety of the Saboteur spells, and ones that the player cannot learn, like Curse. It has slow casting speed.
Schrödinger's cat is a thought experiment, sometimes described as a paradox, devised by Austrian physicist Erwin Schrödinger in 1935.