Implementation of ternary Shor’s algorithm based on vibrational states of an ion in anharmonic potential<xref ref-type="fn" rid="cpb141351fn1">*</xref>

Implementation of ternary Shor’s algorithm based on vibrational states of an ion in anharmonic potential*

Liu Wei^a),^b)†, Chen Shu-Ming^a),^b), Zhang Jian^a),^b), Wu Chun-Wang^c), Wu Wei^c), Chen Ping-Xing^c)

State transitions of the TCNOT gate in the model system. (a)–(i) Switching of population between the two-qutrit states during the evolution according to Eq. ( 3 ). Note that only the states with population variation are shown. Populations of the other states in each window are small and negligible since they are the same scale with that in Fig. 3(b) . (j) Population switching during the evolution of the equally weighted superposition of states.