V. E. Zobov, V. P. Shauro, A. S. Ermilov, “Implementation of the quantum order-finding algorithm on two qudits”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2008, Volume 87, Issue 6,Pages <nobr>385

This article is cited in 7 papers

QUANTUM INFORMATION SCIENCE

Implementation of the quantum order-finding algorithm on two qudits

V. E. Zobov^a, V. P. Shauro^b, A. S. Ermilov^a

^a Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russia
^b 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.

PACS: 03.67.Lx

Received: 24.01.2008
Revised: 12.02.2008