Implementation of a Quantum Adiabatic Algorithm for Factorization on Two Qudits

摘要

Implementation of an adiabatic quantum algorithm for factorization on two qudits with the number of levels d_1 and d_2 is considered. A method is proposed for obtaining a time-dependent effective Hamiltonian by means of a sequence of rotation operators that are selective with respect to the transitions between neighboring levels of a qudit. A sequence of RF magnetic field pulses is obtained, and a factoriza-tion of the numbers 35, 21, and 15 is numerically simulated on two quadrupole nuclei with spins 3/2 (d_1 = 4) and 1 (d_2 = 3).