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., 87:6 (2008), 385–390; JETP Letters, 87:6 (2008), 334

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2008, Volume 87, Issue 6, Pages 385–390 (Mi jetpl71)

This article is cited in 9 scientific papers (total in 9 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

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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.

Received: 24.01.2008
Revised: 12.02.2008

English version:
Journal of Experimental and Theoretical Physics Letters, 2008, Volume 87, Issue 6, Pages 334–339
DOI: https://doi.org/10.1134/S0021364008060143

Bibliographic databases:

Document Type: Article

PACS: 03.67.Lx

Language: Russian

Citation: 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., 87:6 (2008), 385–390; JETP Letters, 87:6 (2008), 334–339

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https://www.mathnet.ru/eng/jetpl/v87/i6/p385

This publication is cited in the following 9 articles:

R. B. Zaripov, V. F. Tarasov, V. A. Ulanov, Pisma v ZhETF, 121:1 (2025), 51–56
R. B. Zaripov, V. F. Tarasov, V. A. Ulanov, Jetp Lett., 121:1 (2025), 47
Anastasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov, EPJ Quantum Technol., 11:1 (2024)
Anstasiia S. Nikolaeva, Evgeniy O. Kiktenko, Aleksey K. Fedorov, Entropy, 25:2 (2023), 387
I. V. Zalivako, I. A. Semerikov, A. S. Borisenko, M. D. Aksenov, K. Yu. Khabarova, N. N. Kolachevsky, JETP Letters, 114:2 (2021), 59–64
Shauro V.P., Zobov V.E., Phys. Rev. A, 88:4 (2013), 042320
Ivanchenko E.A., Int. J. Quantum Inf., 10:6 (2012), 1250068
Zobov V.E., Ermilov A.S., J. Exp. Theor. Phys., 114:6 (2012), 923–932
Zobov V.E., Shauro V.P., Zh Èksper Teoret Fiz, 113:2 (2011), 181–191

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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