[AaronFriel]

This sounds like quantum woo.

If we had desktop quantum computers, and a computationally hard algorithm on qubits was used for proof of work instead, we would still end up in the same arms race of ever more expensive, ever more power hungry systems do that work.

What would happen if Bitcoins work function (the hardness) was made 10 times easier, would miners use 1/10th the power budget? No, they'd just 10x their mining rate. Why? Because other miners have every incentive to do the same.

Likewise with a quantum algorithm.