Implementation of ternary Shor’s algorithm based on vibrational states of an ion in anharmonic potential*
Liu Weia),b)†, Chen Shu-Minga),b), Zhang Jiana),b), Wu Chun-Wangc), Wu Weic), Chen Ping-Xingc)
       
(a) Convergence of iterations and average probabilities of the ternary order-finding algorithm without involving the equally weighted superposition of states transition. (b) Convergence with involving the equally weighted superposition of states transition. (c) Fidelity of pulse for simultaneously optimizes nine state transformations. (d) Fidelity of pulse for simultaneously optimizes ten state transformations.