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)

Quantum circuit for the order-finding algorithm. (a) Ternary order-finding algorithm for factoring 21 with order 3, and the positive integer, which is a co-prime to 21, is randomly chosen to be 4. (b) Simplified circuit.