It's likely though that in the case of superconductivity the problem is the complexity of the calculations, rather than a fundamental theoretical problem. It'

It's likely though that in the case of superconductivity the problem is the complexity of the calculations, rather than a fundamental theoretical problem. It's like protein folding - we're no where near being able to do an ab initio calculation of the shape of a protein, but that doesn't mean that there is a fundamental problem with quantum mechanics.