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Implementation of the quantum order-finding algorithm on two qudits
Authors:V E Zobov  V P Shauro  A S Ermilov
Institution:(1) Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia;(2) Siberian Federal University, Krasnoyarsk, 660041, Russia
Abstract: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.
Keywords:
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