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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Ermilov A. S., Zobov V. E.
Заглавие : Implementation of the quantum order-finding algorithm by adiabatic evolution of two qudits
Коллективы : "Micro- and nanoelectronics", Int. Conf. , "Quantum Informatics", Session
Место публикации : The International Conference "Micro- and nanoelectronics - 2009". - 2009. - Ст.q3-11. - P.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Kucherov M. M., Ponomarenko A. V., Zobov V. E.
Заглавие : On dipole-zeeman cross relaxation in multiple-pulse spin locking
Место публикации : Phys. Status Solidi B. - 1981. - Vol. 107, Is. 2. - P.K159-K162. - ISSN 0370-1972, DOI 10.1002/pssb.2221070263
Примечания : Cited References: 7
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Asymptotic similarity of time correlation functions and shape of the 13C and 29Si NMR spectra in diamond and silicon
Коллективы : Institute of Chemical Physics of the Russian Academy of Science [0082-2018-0005, TSITIS AAAA-A18-118020690203]
Место публикации : J. Exp. Theor. Phys. - 2018. - Vol. 127, Is. 2. - P.305-315. - ISSN 1063-7761, DOI 10.1134/S1063776118080216. - ISSN 1090-6509(eISSN)
Примечания : Cited References: 47. - We thank V.A. Atsarkin, V.V. Demidov, F.S. Dzheparov, and E. B. Feldman for the discussion of our results. This work was supported by a subsidy allocated by the Institute of Chemical Physics of the Russian Academy of Science for the State assignment, theme 0082-2018-0005, code TSITIS AAAA-A18-118020690203.
Предметные рубрики: SPIN SYSTEMS
LINE-SHAPES
RELAXATION
SOLIDS
PARAMAGNETS
RESONANCE
Аннотация: Based on the proposed theory, we have investigated the shape of the NMR absorption spectra for 13C and 29Si nuclei in diamond and silicon crystals attributable to the internuclear dipole–dipole interaction. In accordance with the available experimental data, we have considered both crystals with a 100% content of magnetoactive isotopes and crystals with a comparatively low dilution by nonmagnetic nuclei. The time correlation functions (the first of which is the Fourier transform of the NMR spectrum) arising in an infinite chain of coupled differential equations are shown to be mutually similar with a slight time delay. The proposed theory allows the spectrum to be calculated analytically. The results obtained agree satisfactorily with the experimental ones. It is noted that the mutual similarity of the time correlation functions is probably a corollary of the development of dynamical chaos in the system.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Decoherence-induced stabilization of the multiple-quantum NMR-spectrum width
Место публикации : Appl. Magn. Reson.: Springer, 2016. - Vol. 47, Is. 7. - P.701-710. - ISSN 0937-9347, DOI 10.1007/s00723-016-0770-z. - ISSN 1613-7507(eISSN)
Примечания : Cited References:26
Предметные рубрики: SIMULATIONS
DYNAMICS
SYSTEMS
SOLIDS
Аннотация: The time dependence of an increase in the number of correlated spins in cluster was calculated for a particular variant of multiple-quantum (MQ) nuclear magnetic resonance spectroscopy using an effective two-quantum Hamiltonian that includes conventional secular nuclear dipole-dipole interaction as a weak perturbation at the stage of correlation preparation. It was shown that the cluster size grows steadily, while the width of the MQ spectrum stabilizes because the decay rates of the spectral components located at different areas of the MQ spectrum are different. The MQ bandwidth was also calculated as a function of the preparation time for various perturbation strengths. The results obtained are in excellent agreement with the experimental data reported in Alvarez and Suter (Phys Rev A 84:012320, 2011).
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Multiple-quantum NMR spectroscopy and quantum information delocalization in solids in the presence of magnetic fields inhomogeneities
Коллективы : "Magnetic Resonance - Current State and Future Perspectives", International Conference, Казанский (Приволжский) федеральный университет, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН
Место публикации : International Conference “Magnetic Resonance – Current State and Future Perspectives” (EPR-75): book of abstracts. - Kazan, 2019. - P.30
Примечания : Cited References: 5
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Order dependence of the profile of the intensities of multiple-quantum coherences
Место публикации : J. Exp. Theor. Phys.: MAIK Nauka-Interperiodica / Springer, 2015. - Vol. 120, Is. 5. - P.762-771. - ISSN 1063, DOI 10.1134/S1063776115040093. - ISSN 10906509(eISSN)
Примечания : Cited References:62
Предметные рубрики: PARAMAGNETIC SPIN SYSTEMS
FREE-INDUCTION DECAY
NMR-SPECTRA
AUTOCORRELATION FUNCTIONS
FLUCTUATION SPECTRUM
TEMPERATURE DYNAMICS
LINE-SHAPE
SOLIDS
IRREVERSIBILITY
BEHAVIOR
Аннотация: A modification of the widespread phenomenological model theory of multiple-quantum (MQ) nuclear magnetic resonance spectra of a single cluster of correlated spins has been developed. In contrast to the mentioned theory, the size distribution of such clusters has been consistently taken into account. To obtain the distribution, solutions for the amplitudes of the expansion in the complete set of orthogonal operators are used. Expressions specifying the dependence of the profile of the intensities of MQ coherences on their number n (order) have been obtained. The total form of the dependence has been evaluated by means of the numerical implementation of the resulting expressions. The asymptotic expressions for large n values (wings of the spectrum) have been obtained analytically by the saddle-point method. It has been shown that the dependence under study has a Gaussian central part and exponential wings. The results obtained are in agreement with the previous calculations for some model systems and existing experimental data.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Solid-state NMR free induction decay, simulated by the system of classical magnetic moments and quantum correlations
Коллективы : [AAAA-A19-119012890064-7]
Место публикации : Russ. J. Phys. Chem. B. - 2021. - Vol. 15, Is. 5. - P.839-847. - ISSN 1990-7931, DOI 10.1134/S1990793121050079. - ISSN 1990-7923(eISSN)
Примечания : Cited References: 34. - This study was carried out as part of state assignment 0082-2019-0001 (registration number AAAA-A19-119012890064-7)
Предметные рубрики: HIGH-TEMPERATURE DYNAMICS
HEISENBERG-MODEL
SPIN SIMULATIONS
SHAPE
Аннотация: In the past decade, nuclear magnetic resonance (NMR) has been actively used to study the basic principles of quantum computers. It is assumed that quantum correlations play a significant role in their performance. They exist at both low and high temperatures. At the same time, the time correlation functions of nuclear spin systems of solids determine the observed signals in traditional NMR implementations. The separation of such signals into quantum and classical components has not previously been carried out and will be performed in this study for the most important of the correlational functions observed in magnetic resonance: the free induction decay (FID).
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Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : The stabilization of width of multiple-quantum NMR spectrum induced by decoherence
Коллективы : "Spin physics, spin chemistry, and spin technology", Internnational conference, Физико-технический институт им. А.Ф. Иоффе РАН, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН, "Инно-мир", центр межрегионального инновационного развития
Место публикации : Int. conf. "Spin physics, spin chem., and spin technol.". - 2015. - P.112
Примечания : Библиогр.: 4 назв.
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Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. G., Makarenko A. V., Zobov V. E.
Заглавие : The dipolar fluctuation spectrum and the shape of the wings of nuclear-magnetic-resonance absorption-spectra in solids
Место публикации : J. Phys.: Condens. Matter: IOP PUBLISHING LTD, 1990. - Vol. 2, Is. 50. - P.10131-10145. - ISSN 0953-8984, DOI 10.1088/0953-8984/2/50/017
Примечания : Cited References: 24
Предметные рубрики: CROSS RELAXATION
Аннотация: A theoretical approach providing the shape of the spectrum of dipolar fluctuations (Fourier transform of the longitudinal component of magnetization) and shape of the wings of NMR absorption in condensed matter has been elaborated. It is shown that the spectral contours are exponentials with the same decay constant. The results obtained explain for the first time the known experimental data and establish a connection between two groups of different experiments. The theoretical prediction is in good agreement with experimental results.
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10.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Pichkovskiy I. S., Zobov V. E., Alekseenko I. V.
Заглавие : Modeling of quantum annealing in the ternary system: the factorization of the number 551
Коллективы : "Современные проблемы радиоэлектроники", всероссийская научно-техническая конференция, посвященная 123-й годовщине Дня радио, Сибирский федеральный университет
Место публикации : Соврем. проблемы радиоэлектроники: сб. науч. трудов : электронное издание/ ред. А. И. Громыко. - Красноярск: СФУ, 2018. - С. 496-499. - ISBN 978-5-7638-3902-9
Примечания : Библиогр.: 6
Аннотация: In this paper we present the decision of one of the most hard combination problem with qutrit, factorization number. We present two factors that form this number. Knowing the length of one of them, the problem is simplified and can be resolved. Our work solves the problem of factorization of number 551 with the length of multiplier, which equals 4.
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11.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : MOSKVICH Y. N., PONOMARENKO A. V., ZOBOV V. E.
Заглавие : MEASUREMENT OF SLOW MOTIONS IN SOLIDS WITH STRONG DIPOLE INTERACTION USING MULTIPULSE SEQUENCE
Место публикации : Phys. Lett. A: ELSEVIER SCIENCE BV, 1984. - Vol. 105, Is. 7. - P380-382. - ISSN 0375-9601, DOI 10.1016/0375-9601(84)90287-1
Примечания : Cited References: 12
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12.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Shauro V. P., Zobov V. E., Shlegel N. V., Chimitova O. D., Atuchin V. V., Gavrilova T. A., Molokeev M. S., Bazarov B. G., Bazarova Zh.G.
Заглавие : On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus
Коллективы : "Micro- and nanoelectronics – 2012", Int. Conf. (2012 ; окт. ; 1-5; Москва/ Звенигород, Россия)
Место публикации : International Conference "Micro- and nanoelectronics – 2012": Book of abstracts. - 2012. - Ст.q2-08. - P.
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13.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Ivanov Y. N., Popov M. A., Livshits A. I.
Заглавие : Orientational dependence of the tails of dipole-broadened NMR spectra in crystals
Место публикации : J. Exp. Theor. Phys.: AMER INST PHYSICS, 1999. - Vol. 88, Is. 1. - P157-167. - ISSN 1063-7761, DOI 10.1134/1.558778
Примечания : Cited References: 36
Предметные рубрики: NUCLEAR-DOUBLE-RESONANCE
FLUCTUATION SPECTRUM
CROSS-RELAXATION
SOLIDS
DIFFUSION
MEMORY
SHAPE
Аннотация: This paper describes experimental and theoretical studies of the tails of the dipole-broadened nuclear magnetic resonance (NMR) absorption spectra of F-19 in isomorphic single crystals of BaF2 and CaF2 with the magnetic field directed along three crystallographic axes. The results obtained by directly measuring the derivative of the tail of the NMR absorption spectrum and the falloffs of the Engelsberg-Lowe free precession after Fourier transformation qualitatively agree. It is shown that the shape of the tail is well described by an exponential function in which the orientational dependence of the exponent does not reduce to variation of the second moment. The observed shape of the tail and the orientational dependence of its parameters are explained on the basis of a self-consistent fluctuating-local-field theory. Nonlinear integral equations are derived for the correlation functions, taking into account the changes of the actual number of nearest neighbors caused by the anisotropy of the dipole-dipole interaction and the contribution of lattice sums with loops. The equations are solved numerically. Good agreement is obtained for the computed dropoffs of the free precession, the NMR spectra, and the cross-polarization rates with the experimental results. (C) 1999 American Institute of Physics. [S1063-7761(99)02401-4].
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14.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichkovskiy I. S., Zobov V. E.
Заглавие : Clustering into three groups on a quantum processor of five spins S = 1, controlled by pulses of resonant RF fields
Место публикации : Appl. Magn. Reson. - 2023. - Vol. 54, Is. 7. - P.661-677. - ISSN 09379347 (ISSN), DOI 10.1007/s00723-023-01544-9. - ISSN 16137507 (eISSN)
Примечания : Cited References: 44. - This work funded by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1
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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15.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Pichkovskiy I. S., Zobov V. E.
Заглавие : Clustering into three groups on a quantum processor of Ÿve spins S = 1, controlled by pulses of resonant RF Ÿelds
Коллективы : "Modern Development of Magnetic Resonance", International conference
Место публикации : Modern Development of Magnetic Resonance: abstracts int. conf./ ed. Salikhov K. M. - Kazan, 2022. - P.51
Примечания : Библиогр.: 2
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16.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Pichkovskiy I. S., Zobov V. E.
Заглавие : Implementation of adiabatic clustering quantum algorithm on system of five spins S = 1
Коллективы : "Micro- and nanoelectronics – 2023", International Conference
Место публикации : Proceedings of the International Conference "Micro- and Nanoelectronics – 2023": Book of abstracts. - 2023. - Ст.P1-19. - P.106
Примечания : Cited References: 2. - BASIS № 20-1-5-41-1
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17.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shauro V. P., Zobov V. E.
Заглавие : Global phase and minimum time of quantum Fourier transform for qudits represented by quadrupole nuclei
Место публикации : Phys. Rev. A: American Physical Society, 2013. - Vol. 88, Is. 4. - Ст.42320. - P. - ISSN 1050-2947, DOI 10.1103/PhysRevA.88.042320
Примечания : Cited References: 33
Предметные рубрики: ALGORITHMS
Аннотация: We demonstrate the relation between a global phase of the quantum gate and the layout of energy levels of its effective Hamiltonian required for implementing the gate for minimum time. By an example of the quantum Fourier transform gate for a qudit represented by a quadrupole nucleus with the spin I = 1, the effective Hamiltonians and minimum implementation times for different global phases are found. Using numerical optimal control methods, the problem of the global phase in searching for the optimal pulse shape is considered in detail for the quantum Fourier transform gate at I = 1, 3/2, 2, and 5/2. It is shown that at the constrained control time the gradient algorithms can converge to the solutions corresponding to different global phases or the same global phase with different minimum times of the gate implementation.
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18.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Shauro V. P., Zobov V. E.
Заглавие : On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus : Proceedings Paper
Коллективы : International Conference on Micro- and Nano-Electronics (Oct. 1-5, 2012; Zvenigorod, Russia)
Место публикации : Pros. SPIE: SPIE-Int. Soc. Optical Engineering, 2012. - Vol. 8700. - Ст.87001G. - ISSN 0277-786X, DOI 10.1117/12.2016983. - ISSN 978-0-8194-9487-0
Примечания : Cited References: 15
Предметные рубрики: ALGORITHMS
Ключевые слова (''Своб.индексиров.''): qudit--quantum fourier transform--time-optimal control--nuclear magnetic resonance
Аннотация: We consider the problem of time-optimal realization of the quantum Fourier transform gate for a single qudit with number of levels d from 3 to 8. As a qudit the quadrupole nucleus with spin I 1/2 controlled by NMR is considered. We calculate the dependencies of the gate error on the duration of radio-frequency pulse obtained by numerical optimization using Krotov-based algorithm. It is shown that the dependences of minimum time of QFT gate implementation on qudit dimension are different for integer and half-integer spins.
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19.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Moskvich Y. N., Polyakov A. M., Prozorov S. P., Zobov V. E., Ponomarenko A. V.
Заглавие : The spin-lattice relaxation of the moving 2-spin group in multipulse spin locking
Место публикации : Phys. Status Solidi B. - 1983. - Vol. 116, Is. 1. - P.K35-K38. - ISSN 0370-1972, DOI 10.1002/pssb.2221160150
Примечания : Cited References: 7
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20.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Шауро, Виталий Павлович, Зобов, Владимир Евгеньевич
Заглавие : Time-Optimal Control of Quantum Dynamics of a Quadrupole Nucleus by NMR Techniques
Место публикации : Квантовые компьютеры и квантовые вычисления. - 2009. - Vol. 9. - С. 11-18
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