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Electron Paramagnetic Resonance and Gd3+ Clustering in the{xGd203-(1-x)(La203-Al203-B203-SiO2-GeO2)} Glasses [Text] / J. Kliava, R. Berger, A. A. Potseluyko [et al.] // The Physics of Metals and Metallography. - 2006. - Vol. 102, Suppl. 1. - P. S39-S41DOI 10.1134/S0031918X06140092. - Библиогр.: 6. - Krasnoyarsk Regional Science Foundation (grant no. 12F0045C).
Аннотация: A multicomponent glass system 20La2O3–22Al2O3–23B23–35(SiO2+ GeO2) in which part of La2O3is substituted by Gd2O3 in different concentrations has been studied by EPR. The EPR spectra show the presence of clustering at higher Gd contents. At low temperatures, the cluster-related resonance signal is altered in shape, indicating the appearance of a magnetic anisotropy field.

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Держатели документа:
CPMOH, Üniversite Bordeaux–I, 33405 Talence Cedex, France
Kirensky Institute of Physics, Siberian Division, Russian Academy of Sciences, Krasnoyarsk 660036, Russia
Vavilov State Optical Institute, St. Petersburg, 199034 Russia

Доп.точки доступа:
Kliava, J.; Berger, R.; Potseluyko, A. A.; Поцелуйко, Анатолий Артёмович; Edelman, I. S.; Petrakovskaya, E. A.; Петраковская, Элеонора Анатольевна; Zarubina, T.
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Magnetic vortexes clustering in nanocrystalline magnetic film / G. V. Shadrina, V. A. Felk, S. V. Komogortsev // Moscow Int. Symp. on Magnet. (MISM-2017) : 1-7 July 2017 : book of abstracts. - 2017. - Ст. 2PO-J-29. - P. 282

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Доп.точки доступа:
Shadrina, G. V.; Felk, V. A.; Komogortsev, S. V.; Комогорцев, Сергей Викторович; Moscow International Symposium on Magnetism(7 ; 2017 ; Jul. ; Moscow); Московский государственный университет им. М.В. Ломоносова; Российский фонд фундаментальных исследований
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Magneto-Optical Properties and Clustering of Dy3+ ions in Oxide Glasses [Text] / Alexander Malakhovskii, Alexander Sukhachev [et al.] // 12th International Conference on the Physics of Non-Crystalline Solids (PNCS12) : September 6–9, 2009, Foz do Iguaçu, PR, Brazil. - 2009. - P105

Доп.точки доступа:
Malakhovskii, Alexander; Sukhachev, Alexander; Zabluda, Vladimir; Edelman, Irina; International Conference on the Physics of Non-Crystalline Solids(12 ; 2009 ; SEP ; Foz do Iguaçu, PR, Brazil)
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    Pichkovskiy, I. S.
    Clustering into three groups on a quantum processor of five spins S = 1, controlled by pulses of resonant RF fields / I. S. Pichkovskiy, V. E. Zobov // Appl. Magn. Reson. - 2023. - Vol. 54, Is. 7. - P. 661-677, DOI 10.1007/s00723-023-01544-9. - Cited References: 44. - This work funded by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1 . - ISSN 0937-9347. - ISSN 1613-7507
   Перевод заглавия: Кластеризация на три группы на квантовом процессоре из пяти спинов S = 1, управляемом импульсами резонансных РЧ полей
Аннотация: We consider a quantum processor based on five qutrits represented by spins S = 1, which is driven by radio frequency (RF) pulses selective in transitions between adjacent levels. Numerical simulation of the implementation of the quantum-adiabatic clustering algorithm was performed on the example of partitioning a set of six points into three groups. We find the amplitudes and durations of rectangular RF pulses, as well as the durations of free evolution intervals in the control pulse sequence, which made it possible to engineer a time-dependent effective Hamiltonian in the discrete-time approximation. Also we studied the dependence of the implementation fidelity on the parameters. We took quadrupole nuclei as qutrits, but the results obtained will be useful for controlling quantum processors based on qutrits represented by other systems.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, Russia

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Пичковский, Иван Сергеевич
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Pichkovskiy, I. S.
Clustering into three groups on a quantum processor of Ÿve spins S = 1, controlled by pulses of resonant RF Ÿelds / I. S. Pichkovskiy, V. E. Zobov // Modern Development of Magnetic Resonance : abstracts int. conf. / ed. Salikhov K. M. - Kazan, 2022. - P. 51. - Библиогр.: 2

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk

Доп.точки доступа:
Salikhov K. M. \ed.\; Zobov, V. E.; Зобов, Владимир Евгеньевич; "Modern Development of Magnetic Resonance", International conference(2022; 3-7 Oct. ; Kazan)
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Pichkovskiy, I. S.
Implementation of adiabatic clustering quantum algorithm on system of five spins S = 1 / I. S. Pichkovskiy, V. E. Zobov // Proceedings of the International Conference "Micro- and Nanoelectronics – 2023" : Book of abstracts. - 2023. - Ст. P1-19. - P. 106. - Cited References: 2. - BASIS № 20-1-5-41-1

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; "Micro- and nanoelectronics – 2023", International Conference(2023 ; окт. ; 2-6 ; Москва / Звенигород, Россия)
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    Zobov, V. E.
    Clustering by quantum annealing on the three-level quantum elements qutrits / V. E. Zobov, I. S. Pichkovskiy // Quantum Inf. Process. - 2022. - Vol. 21, Is. 4. - Ст. 144, DOI 10.1007/s11128-022-03482-0. - Cited References: 28. - This study was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1. We are grateful for their trust and assistance in research . - ISSN 1570-0755
   Перевод заглавия: Кластеризация посредством квантового отжига на квантовых трёхуровневых элементах кутритах
Кл.слова (ненормированные):
Quantum adiabatic algorithm -- Quantum annealing -- Qutrit -- Clustering
Аннотация: Clustering is grouping of data by the proximity of some properties. We report on the possibility of increasing the efficiency of clustering of points in a plane using artificial quantum neural networks after the replacement of the two-level neurons called qubits represented by the spins S = 1/2 by the three-level neurons called qutrits represented by the spins S = 1. The problem has been solved by the slow adiabatic change of the Hamiltonian in time. The methods for controlling a qutrit system using projection operators have been developed and the numerical simulation has been performed. The Hamiltonians for two well-known clustering methods, one-hot encoding and k-means, have been built. The first method has been used to partition a set of six points into three or two clusters and the second method, to partition a set of nine points into three clusters and seven points into four clusters. The simulation has shown that the clustering problem can be effectively solved on qutrits represented by the spins S = 1. The advantages of clustering on qutrits over that on qubits have been demonstrated. In particular, the number of qutrits required to represent N data points is smaller than the number of qubits by a factor of log 2N/ log 3N. For qutrits, the simplest is to partition the data points into three clusters rather than two ones. At the data partition into more than three clusters, it has been proposed to number the clusters by the numbers of states of the corresponding multi-spin subsystems, instead of using the numbers of individual spins. This reduces even more the number of qutrits (Nlog 3K instead of NK) required to implement the algorithm.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Krasnoyarsk, 660036, Russian Federation

Доп.точки доступа:
Pichkovskiy, I. S.; Пичковский, Иван Сергеевич; Зобов, Владимир Евгеньевич
}
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    Zobov, V. E.
    Sequences of selective rotation operators for three group clustering on qutrits by means of quantum annealing / V. E. Zobov, I. S. Pichkovskiy // Proc. SPIE. - 2022. - Vol. 12157. - Ст. 121571Z, DOI 10.1117/12.2622732. - Cited References: 25. - This work was supported by a grant from the Fund for the Development of Theoretical Physics and Mathematics "Basis" # 20-1-5-41-1
   Перевод заглавия: Последовательности селективных операторов поворота для кластеризации на три группы на кутритах посредством квантового отжига
Кл.слова (ненормированные):
quantum annealing -- clustering -- qutrit -- selective rotation operators
Аннотация: Recently, it was demonstrated that the clustering considered in this articlec, which consists in partitioning a set of data points into subsets depending on the proximity of some properties, can be performed using quantum annealing on a system of two-level quantum elements - qubits. In previous work, we proposed to pass from qubits to qutrits - three-level quantum elements showed the advantages of such a replacement and obtained a time-dependent effective Hamiltonian. In the present paper, we have found a sequence of selective rotation operators that allows one to realize adiabatic evolution with this effective Hamiltonian in the discrete-time approximation. On five qutrits, represented by spins S = 1, we performed a simulation of clustering a set of six points on a plane into three groups by means of quantum annealing.

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Держатели документа:
Kirensky Institute of Physics, Federal Research Center KSC SB RAS, Russian Federation

Доп.точки доступа:
Pichkovskiy, I. S.; Пичковский, Иван Сергеевич; Зобов, Владимир Евгеньевич; International Conference on Micro- and Nano-Electronics(14 ; 2021 ; Oct. 4-8 ; Zvenigorod, Russian Federation)
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    Zobov, V. E.
    Sequences of selective rotation operators for three group clustering on qutrits by means quantum annealing / V. E. Zobov, I. S. Pichkovskiy // Proceedings of the International Conference "Micro- and Nanoelectronics – 2021". ICMNE – 2021. - 2021. - Ст. q3-02. - P. 149. - Cited References: 4
   Перевод заглавия: Последовательности селективных операторов поворотов для кластеризации на три группы на кутритах посредством квантового отжига

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Доп.точки доступа:
Pichkovskiy, I. S.; Зобов, Владимир Евгеньевич; "Micro- and Nano-Electronics", International Conference(2021 ; Oct. ; Zvenigorod); "Микро- и наноэлектроника", международная конференция(2021 ; окт. ; Звенигород)Квантовая информатика, симпозиум(2021 ; окт. ; Звенигород); Российская академия наук; Физико-технологический институт имени К.А. Валиева РАН
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