To program a serial algorithm in a quantum computer would be to miss the point. You could encode the interactions between clumps of qbits to function as nodes in a wave simulation.
There would be few enough nodes in the wave that it would be not equivalent to a true wave simulation. It would be a discretization, but now it functions as an analog asic like proxy for the real thing. If the groups of qbits are smaller than the true nodes in a wave surface your computation would be faster than the real thing, but lower precision.
In a classical computer this would have to be done with buffers, or a very narrow set of parralel deterministic programs, otherwise impossible. (examples: a subset of cellular automata rules, gravity sort)
Is any of that right or am i completely off base.