How to Compute the Distance Between Two Points in Quantum?

The main contribution of this work is to be able to compute the distance between two points using a quantum secrit. This can be done expodentially faster with the assumption that you have the victor as quantam state in the input, and he distance as also a kind of a quantum state in the output. But the good thing is that we are also able to computed the distance, not only between two points, but in superposition of many points. So that's behind our reach. And this is where it takes place make sense. We did fool camins in a way like the quantum appears at all steps. The interesting part is that, so i ask myself, how do you