Could a service that creates a new ´wallet´ for every single transaction provide effectively unbreakable anonymity? Forgive me if the question doesn´t make sense... I haven´t used bitcoin.
Once this system had a few users, the difficulty of tracing any particular wallet 'owner' would be significant.
I suspect that "random" in this instance would have to be very carefully defined, as a lot of signals only become more apparent (to the human eye) when cloaked with the right type of noise.