Trial and Error

Quantum systems scale in a complicated but powerful way.

The quantum world is one of probability...amplitudes. And that's important for cautiously extending our current theory of practical computation.

Sometimes elegance just isn't enough to convince a theory to exist.

The quantum world is full of particles and discretization, and that's important for building on our best models of computation.

Forget the big results--why would anyone have thought to quantumify computing in the first place?

Gauge theories and how they are basically extra dimensions that actually exist.