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Effect of intramolecular interaction on Time Growth of Second Moment of Multiple-Quantum NMR in Solids [Text] / V. E. Zobov, A. A. Lundin // Int. Conf. "Resonances in Condensed Matter" : Book of abstracts. - 2011. - PTh06

Доп.точки доступа:
Zobov, V.E.; Lundin, A.A.; "Resonances in Condensed Matter", International Conference(2011 ; Jun. ; 21-25 ; Kazan, Russia)
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Ermilov, A. S.
Implementation of the quantum order-finding algorithm by adiabatic evolution of two qudits / A. S. Ermilov, V. E. Zobov // The International Conference "Micro- and nanoelectronics - 2009". - 2009. - Ст. q3-11. - P.

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Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Ермилов, Андрей Сергеевич; "Micro- and nanoelectronics", Int. Conf. (2009 ; окт. ; 1-5 ; Москва / Звенигород, Россия); "Quantum Informatics", Session(2009 ; окт. ; 1-5 ; Москва / Звенигород, Россия)
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Kucherov, M. M.
On dipole-zeeman cross relaxation in multiple-pulse spin locking / M. M. Kucherov, A. V. Ponomarenko, V. E. Zobov // Phys. Status Solidi B. - 1981. - Vol. 107, Is. 2. - P. K159-K162, DOI 10.1002/pssb.2221070263. - Cited References: 7 . - ISSN 0370-1972

РУБ Physics, Condensed Matter

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Доп.точки доступа:
Ponomarenko, A. V.; Zobov, V. E.; Зобов, Владимир Евгеньевич
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    Lundin, A. A.
    Asymptotic similarity of time correlation functions and shape of the 13C and 29Si NMR spectra in diamond and silicon / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2018. - Vol. 127, Is. 2. - P. 305-315, DOI 10.1134/S1063776118080216. - 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. . - ISSN 1063-7761. - ISSN 1090-6509
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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Публикация на русском языке Лундин, Андрей Арнольдович. Асимптотическое подобие временных корреляционных функций и форма спектров ЯМР 13C и 29Si в алмазе и кремнии [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. - 2018. - Т. 154 Вып. 2. - С. 354–367

Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Vorobevskoe Sh 26, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Fed Res Ctr, Krasnoyarsk Sci Ctr,Siberian Branch, Akademgorodok 50, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Institute of Chemical Physics of the Russian Academy of Science [0082-2018-0005, TSITIS AAAA-A18-118020690203]
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    Lundin, A. A.
    Decoherence-induced stabilization of the multiple-quantum NMR-spectrum width / A. A. Lundin, V. E. Zobov // Appl. Magn. Reson. - 2016. - Vol. 47, Is. 7. - P. 701-710, DOI 10.1007/s00723-016-0770-z. - Cited References:26 . - ISSN 0937-9347. - ISSN 1613-7507
   Перевод заглавия: Cтабилизация ширины многоквантового спектра ЯМР вследствие затухания

РУБ Physics, Atomic, Molecular & Chemical + Spectroscopy
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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Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Ul Kosygina 4, Moscow 117977, Russia.
Russian Acad Sci, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
}
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Lundin, A. A.
Multiple-quantum NMR spectroscopy and quantum information delocalization in solids in the presence of magnetic fields inhomogeneities / A. A. Lundin, V. E. Zobov // International Conference “Magnetic Resonance – Current State and Future Perspectives” (EPR-75) : book of abstracts. - Kazan, 2019. - P. 30. - Cited References: 5

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

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Лундин, Андрей Арнольдович; "Magnetic Resonance - Current State and Future Perspectives", International Conference(2019 ; Sept. ; 23-27 ; Kazan, Russia); Казанский (Приволжский) федеральный университет; Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН
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Lundin, A. A.
Order dependence of the profile of the intensities of multiple-quantum coherences / A. A. Lundin, V. E. Zobov // J. Exp. Theor. Phys. - 2015. - Vol. 120, Is. 5. - P. 762-771, DOI 10.1134/S1063776115040093. - Cited References:62 . - ISSN 1063. - ISSN 1090-6509. -

РУБ Physics, Multidisciplinary
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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Публикация на русском языке Лундин, Андрей Арнольдович. Зависимость профиля интенсивностей многоквантовых когерентностей от порядков [Текст] / А. А. Лундин, В. Е. Зобов // Журн. эксперим. и теор. физ. : Наука, 2015. - Т. 147 Вып. 5. - С. 885-895

Держатели документа:
Russian Acad Sci, Semenov Inst Chem Phys, Moscow 117977, Russia.
Russian Acad Sci, Akademgorodok, Kirensky Inst Phys, Siberian Branch, Krasnoyarsk 660036, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
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Lundin, A. A.
Solid-state NMR free induction decay, simulated by the system of classical magnetic moments and quantum correlations / A. A. Lundin, V. E. Zobov // Russ. J. Phys. Chem. B. - 2021. - Vol. 15, Is. 5. - P. 839-847, DOI 10.1134/S1990793121050079. - Cited References: 34. - This study was carried out as part of state assignment 0082-2019-0001 (registration number AAAA-A19-119012890064-7) . - ISSN 1990-7931. - ISSN 1990-7923

РУБ Physics, Atomic, Molecular & Chemical
Рубрики:
HIGH-TEMPERATURE DYNAMICS
   HEISENBERG-MODEL
   SPIN SIMULATIONS
   SHAPE
Кл.слова (ненормированные):
spin -- paramagnetic -- quantum technology -- spin dynamics -- quantum computing
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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Публикация на русском языке Лундин, Андрей Арнольдович. Сигнал свободной прецессии ЯМР твердого тела, его моделирование посредством системы классических магнитных моментов и квантовые корреляции [Текст] / А. А. Лундин, В. Е. Зобов // Химич. физика. - 2021. - Т. 40 № 9. - С. 41-49

Держатели документа:
Russian Acad Sci, Semenov Fed Res Ctr Chem Phys, Moscow, Russia.
Russian Acad Sci, Siberian Branch, Krasnoyarsk Sci Ctr, Kirensky Inst Phys,Fed Res Ctr, Krasnoyarsk, Russia.

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; [AAAA-A19-119012890064-7]
}
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    Lundin, A. A.
    The stabilization of width of multiple-quantum NMR spectrum induced by decoherence / A. A. Lundin, V. E. Zobov // Int. conf. "Spin physics, spin chem., and spin technol.". - 2015. - P. 112. - Библиогр.: 4 назв.
   Перевод заглавия: Стабилизация ширины многоквантового спектра ЯМР вследствие затухания

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Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Лундин, Андрей Арнольдович; "Spin physics, spin chemistry, and spin technology", Internnational conference(2015 ; Jun. ; 1-5 ; Saint Peterburg); 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
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10.

Lundin, A. G.
The dipolar fluctuation spectrum and the shape of the wings of nuclear-magnetic-resonance absorption-spectra in solids / A. G. Lundin, A. V. Makarenko, V. E. Zobov // J. Phys.: Condens. Matter. - 1990. - Vol. 2, Is. 50. - P. 10131-10145, DOI 10.1088/0953-8984/2/50/017. - Cited References: 24 . - ISSN 0953-8984

РУБ Physics, Condensed Matter
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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Держатели документа:
LV KIRENSKY PHYS INST,SIBERIAN BRANCH,KRASNOYARSK 660036,USSR
ИФ СО РАН

Доп.точки доступа:
Makarenko, A. V.; Zobov, V. E.; Зобов, Владимир Евгеньевич; Лундин, Арнольд Геннадьевич
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11.

Modeling of quantum annealing in the ternary system: the factorization of the number 551 / scientific supervisor V. E. Zobov ; language advisor I. V. Alekseenko // Соврем. проблемы радиоэлектроники : сб. науч. трудов : электронное издание / ред. А. И. Громыко. - Красноярск : СФУ, 2018. - С. 496-499. - Библиогр.: 6 . - ISBN 978-5-7638-3902-9
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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Держатели документа:
Сибирский федеральный университет, Институт инженерной физики и радиоэлектроники
Институт физики им. Л.В. Киренского СО РАН

Доп.точки доступа:
Громыко, А. И. \ред.\; Pichkovskiy, I. S.; Zobov, V. E.; Зобов, Владимир Евгеньевич; Alekseenko, I. V.; "Современные проблемы радиоэлектроники", всероссийская научно-техническая конференция, посвященная 123-й годовщине Дня радио(21 ; 2018 ; май ; 3-4 ; Красноярск); Сибирский федеральный университет
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12.

MOSKVICH, Y. N.
MEASUREMENT OF SLOW MOTIONS IN SOLIDS WITH STRONG DIPOLE INTERACTION USING MULTIPULSE SEQUENCE / Y. N. MOSKVICH, A. V. PONOMARENKO, V. E. ZOBOV // Phys. Lett. A. - 1984. - Vol. 105, Is. 7. - P. 380-382, DOI 10.1016/0375-9601(84)90287-1. - Cited References: 12 . - ISSN 0375-9601

РУБ Physics, Multidisciplinary

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Держатели документа:
L.V. Kirensky Institute of Physics, Krasnoyarsk, 660036, Russian Federation
ИФ СО РАН
Доп.точки доступа:
PONOMARENKO, A. V.; ZOBOV, V. E.; Зобов, Владимир Евгеньевич
}
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13.

On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus / V. P. Shauro, V. E. Zobov [et al.] // International Conference "Micro- and nanoelectronics – 2012" : Book of abstracts. - 2012. - Ст. q2-08. - P.

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Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Zobov, V. E.; Зобов, Владимир Евгеньевич; Shlegel, N. V.; Chimitova, O. D.; Atuchin, V. V.; Атучин, Виктор Валерьевич; Gavrilova, T. A.; Molokeev, M. S.; Молокеев, Максим Сергеевич; Bazarov, B. G.; Базаров Б.Г.; Bazarova, Zh.G.; Базарова Ж.Г.; "Micro- and nanoelectronics – 2012", Int. Conf. (2012 ; окт. ; 1-5 ; Москва / Звенигород, Россия)
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14.

Orientational dependence of the tails of dipole-broadened NMR spectra in crystals / V. E. Zobov [et al.] // J. Exp. Theor. Phys. - 1999. - Vol. 88, Is. 1. - P. 157-167, DOI 10.1134/1.558778. - Cited References: 36 . - ISSN 1063-7761

РУБ Physics, Multidisciplinary
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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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Krasnoyarsk State Univ, Krasnoyarsk 660041, Russia
Russian Acad Sci, Siberian Branch, Inst Chem & Chem Technol, Krasnoyarsk 660036, Russia
ИФ СО РАН
ИХХТ СО РАН

Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Ivanov, Y. N.; Иванов, Юрий Николаевич; Popov, M. A.; Livshits, A. I.
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15.

    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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16.

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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17.

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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18.

Popov, M. A.
Line shape of magnetic resonance in the Anderson approximation with consideration of quadratic fluctuations / M. A. Popov, V. E. Zobov // Fiz. Tverd. Tela. - 1996. - Vol. 38, Is. 10. - P. 3070-3074. - Cited References: 12 . - ISSN 0367-3294

РУБ Physics, Condensed Matter

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Держатели документа:
LV KIRENSKII INST PHYS,KRASNOYARSK 660036,RUSSIA
ИФ СО РАН
Доп.точки доступа:
Zobov, V. E.
}
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19.

    Shauro, V. P.
    Global phase and minimum time of quantum Fourier transform for qudits represented by quadrupole nuclei / V. P. Shauro, V. E. Zobov // Phys. Rev. A. - 2013. - Vol. 88, Is. 4. - Ст. 42320. - P. , DOI 10.1103/PhysRevA.88.042320. - Cited References: 33 . - ISSN 1050-2947
   Перевод заглавия: Глобальная фаза и минимальное время квантового преобразования Фурье для кудитов, представленных квадрупольными ядрами

РУБ Optics + Physics, Atomic, Molecular & Chemical
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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Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Шауро, Виталий Павлович
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20.

Shauro, V. P.
On the time-optimal implementation of quantum Fourier transform for qudits represented by quadrupole nucleus : Proceedings Paper / V. P. Shauro, V. E. Zobov ; ed. V. P. Shauro ; Int. Conf. on Micro- and Nano-Electronics // Pros. SPIE. - 2012. - Vol. 8700. - Ст. 87001G, DOI 10.1117/12.2016983. - Cited References: 15 . - ISSN 0277-786X. - ISSN 978-0-819

РУБ Nanoscience & Nanotechnology + Optics
Рубрики:
ALGORITHMS
Кл.слова (ненормированные):
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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Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич; Shauro, V. P. \ed.\; Шауро, Виталий Павлович; International Conference on Micro- and Nano-Electronics (Oct. 1-5, 2012 ; Zvenigorod, Russia)
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