A hybrid scheme for prime factorization and its experimental implementation using IBM quantum processor

We report a quantum–classical hybrid scheme for factorization of bi-prime numbers (which are odd and square-free) using IBM’s quantum processors. The proposed here involves both classical optimization techniques adiabatic techniques, is build by extending previous [Pal et al., Pramana 92, 26 (2019) Xu Phys. Rev. Lett. 108, 130501 (2012)]. part the very general in sense that it can be implemented any computing architecture. Here, as an example, we experimentally implement our prime QX4 processor have factorized 35.