As a non specialist, for a single particle system it's easy to appreciate the concept of a pilot wave extending through all Euclidean space, guiding a particle which ends up at a location determined by the pilot wave and its initial location.
For multiple particles however the wave would presumably need more dimensions to reflect the configuration space of the system.
Is this correct, and if so where does the pilot wave reside?
A related question may be, if quantum computers give an exponential speedup for factorization, then according to pilot wave theory where does the computation take place?