Speaker: José Luis Rosales
Affiliation: Universidad Politécnica de Madrid
Date: Friday, 12 May 2017 at 10:00
Location: Seminar Room, Serrano 121 (CFMAC)
We revisit the analytic number theory of factoring numbers N=xy, product of two primes, in order to build a new approach suitable for statistical analysis. This is readily translated to the physics of a system in two dimensions with bound trajectories. After semiclassical quantization we get that the statistics of the energies for these trajectories lead to the statistics of the primes pi (x) < pi ( sqrt N). The result is fully equivalent to obtaining the prime factors of N from the quantum theory of this simulator in a way entirely alternative to Shor’s algorithm.
Finally we advance the result that this quantum system can be experimentally implemented and show our proposal for the experimental setup.