Implementation of the quantum order-finding algorithm on two qudits

A quantum circuit has been proposed for the algorithm for finding the permutation order on two qudits with the number of levels d ₁ and d ₂. The sequence of the RF pulses for implementing the algorithm on two quadrupole nuclei I ₁ = 7/2 (d ₁ = 8) and I ₂ = 3/2 (d ₂ = 4) has been calculated and the algorithm has been numerically simulated. A method for preparing pseudopure states has been presented. A comparison with the implementation of the algorithm by NMR methods on five qubits has been performed.