/ В. Е. Зобов, А. С. Ермилов // Журн. эксперим. и теор. физ. - 2012. - Т. 141, Вып. 6. - С. 1060-1070. - Библиогр.: 45 назв. - Работа выполнена при финансовой поддержке РФФИ (грант № 09-07-00138)
. - ISSN 0044-4510
Аннотация: Рассматривается выполнение адиабатического квантового алгоритма факторизации на двух кудитах с числом уровней d1 и d2. Предложен способ получения изменяющегося во времени эффективного гамильтониана с помощью последовательности операторов поворота, селективных по переходам между соседними уровнями кудита. Найдена последовательность импульсов радиочастотного магнитного поля и выполнено численное моделирование факторизации чисел 35, 21 и 15 на двух квадрупольных ядрах со спинами 3/2 (d1=4) и 1 (d2=3).
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Держатели документа:
Институт физики им. Л.В. Киренского СО РАН
Доп.точки доступа:
Ермилов, Андрей Сергеевич; Ermilov, A. S.; Zobov, V. E.
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Найдено документов в текущей БД: 7
Implementation of a quantum adiabatic algorithm for factorization on two qudits
/ V. E. Zobov, A. S. Ermilov // J. Exp. Theor. Phys. - 2012. - Vol. 114, Is. 6. - P. 923-932, DOI 10.1134/S106377611205007X. - Cited References: 45. - This work was supported by the Russian Foundation for Basic Research, project no. 09-07-00138.
. - ISSN 1063-7761
РУБ Physics, Multidisciplinary
Аннотация: Implementation of an adiabatic quantum algorithm for factorization on two qudits with the number of levels d 1 and d 2 is considered. A method is proposed for obtaining a time-dependent effective Hamiltonian by means of a sequence of rotation operators that are selective with respect to the transitions between neighboring levels of a qudit. A sequence of RF magnetic field pulses is obtained, and a factorization of the numbers 35, 21, and 15 is numerically simulated on two quadrupole nuclei with spins 3/2 (d 1 = 4) and 1 (d 2 = 3).
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Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Ermilov, A. S.; Ермилов, Андрей Сергеевич; Зобов, Владимир Евгеньевич
Рубрики:
NUCLEAR-MAGNETIC-RESONANCE
ORDER-FINDING ALGORITHM
COMPUTATION
GATES
COMPUTER
ELEMENTS
SPINS
NUCLEAR-MAGNETIC-RESONANCE
ORDER-FINDING ALGORITHM
COMPUTATION
GATES
COMPUTER
ELEMENTS
SPINS
Аннотация: Implementation of an adiabatic quantum algorithm for factorization on two qudits with the number of levels d 1 and d 2 is considered. A method is proposed for obtaining a time-dependent effective Hamiltonian by means of a sequence of rotation operators that are selective with respect to the transitions between neighboring levels of a qudit. A sequence of RF magnetic field pulses is obtained, and a factorization of the numbers 35, 21, and 15 is numerically simulated on two quadrupole nuclei with spins 3/2 (d 1 = 4) and 1 (d 2 = 3).
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Для получение полного текста обратитесь в библиотеку
Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Siberian Branch, Kirenskii Inst Phys, Krasnoyarsk 660036, Russia
Доп.точки доступа:
Ermilov, A. S.; Ермилов, Андрей Сергеевич; Зобов, Владимир Евгеньевич
Implementation of the quantum order-finding algorithm on two qudits
/ V. E. Zobov, V. P. Shauro, A. S. Ermilov // JETP Letters. - 2008. - Vol. 87, Is. 6. - P. 334-339, DOI 10.1134/S0021364008060143. - Cited References: 24
. - ISSN 0021-3640
РУБ Physics, Multidisciplinary
Аннотация: 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.
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Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Shauro, V. P.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, Krasnoyarsk 660041, Russian Federation
Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Ermilov, A. S.; Зобов, Владимир Евгеньевич
Аннотация: 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.
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Scopus,
Для получение полного текста обратитесь в библиотеку
Держатели документа:
[Zobov, V. E.
Ermilov, A. S.] Russian Acad Sci, Kirensky Phys Inst, Siberian Branch, Krasnoyarsk 660036, Russia
[Shauro, V. P.] Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk 660036, Russian Federation
Siberian Federal University, Krasnoyarsk 660041, Russian Federation
Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Ermilov, A. S.; Зобов, Владимир Евгеньевич
Realizations of standard quantum computational circuits by adiabatic evolution
/ V. E. Zobov, A. S. Ermilov // Theor. Math. Phys. - 2007. - Vol. 150, Is. 3. - P. 393-402, DOI 10.1007/s11232-007-0029-9. - Cited References: 16
. - ISSN 0040-5779
РУБ Physics, Multidisciplinary + Physics, Mathematical
Кл.слова (ненормированные):
quantum algorithm -- adiabatic evolution -- nuclear magnetic resonance -- Adiabatic evolution -- Nuclear magnetic resonance -- Quantum algorithm
Аннотация: We study the adiabatic equivalent of the standard quantum circuit of elementary logic operators. We propose a scheme for constructing time variations of the Hamiltonian. This scheme can be implemented sufficiently simply, for example, on nuclear spins controlled by radio-frequency pulses. As an illustration, we numerically, simulate an adiabatic quantum algorithm for finding the permutation order for a. system of five spins (qubits).
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Держатели документа:
RAS, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, RAS, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Ermilov, A. S.; Зобов, Владимир Евгеньевич
Кл.слова (ненормированные):
quantum algorithm -- adiabatic evolution -- nuclear magnetic resonance -- Adiabatic evolution -- Nuclear magnetic resonance -- Quantum algorithm
Аннотация: We study the adiabatic equivalent of the standard quantum circuit of elementary logic operators. We propose a scheme for constructing time variations of the Hamiltonian. This scheme can be implemented sufficiently simply, for example, on nuclear spins controlled by radio-frequency pulses. As an illustration, we numerically, simulate an adiabatic quantum algorithm for finding the permutation order for a. system of five spins (qubits).
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Держатели документа:
RAS, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk, Russia
ИФ СО РАН
Kirenskii Institute of Physics, Siberian Branch, RAS, Krasnoyarsk, Russian Federation
Доп.точки доступа:
Ermilov, A. S.; Зобов, Владимир Евгеньевич
Pulse sequences for realizing the quantum Fourier transform on multilevel systems
/ V. E. Zobov, A. S. Ermilov // JETP Letters. - 2006. - Vol. 83, Is. 10. - P. 467-471, DOI 10.1134/S0021364006100092. - Cited References: 16
. - ISSN 0021-3640
РУБ Physics, Multidisciplinary
Аннотация: Sequences of selective pulses of an RF magnetic field for realizing the quantum Fourier transform by NMR methods on systems with four, six, and eight nonequidistant levels are found using the virtual spin formalism. The results can be applied to other quantum systems when laser pulses are used.
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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Div, Akademgorodok, Krasnoyarsk 660036, Russia
ИФ СО РАН
KirenskiI Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Ermilov, A. S.; Зобов, Владимир Евгеньевич
Аннотация: Sequences of selective pulses of an RF magnetic field for realizing the quantum Fourier transform by NMR methods on systems with four, six, and eight nonequidistant levels are found using the virtual spin formalism. The results can be applied to other quantum systems when laser pulses are used.
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Держатели документа:
Russian Acad Sci, Kirensky Inst Phys, Siberian Div, Akademgorodok, Krasnoyarsk 660036, Russia
ИФ СО РАН
KirenskiI Institute of Physics, Siberian Division, Russian Academy of Sciences, Akademgorodok, Krasnoyarsk, 660036, Russian Federation
Доп.точки доступа:
Ermilov, A. S.; Зобов, Владимир Евгеньевич
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.
Материалы конференции
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)
Материалы конференции
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)
Representation of the Quantum Fourier transform on multilevel BASIC Elements by a sequence of selective Rotation Operators
[Text] / A. S. Ermilov, V. E. Zobov // Optics and Spectroscopy. - 2007. - Т. 103, № 6. - P969-975, DOI 10.1134/S0030400X07120211
. - ISSN 0030-4034
Аннотация: To experimentally realize quantum computations on d-level basic elements (qudits) at d 2, it is necessary to develop schemes for the technical realization of elementary logical operators. We have found sequences of selective rotation operators that represent the operators of the quantum Fourier transform (Walsh-Hadamard matrices) for d = 3-10. For the prime numbers 3, 5, and 7, the well-known method of linear algebra is applied, whereas, for the factorable numbers 6, 9, and 10, the representation of virtual spins is used (which we previously applied for d = 4, 8). Selective rotations can be realized, for example, by means of pulses of an RF magnetic field for systems of quadrupole nuclei or laser pulses for atoms and ions in traps.
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Держатели документа:
Институт физики им. Л.В. Киренского Сибирского отделения РАН, 660036 Красноярск, Россия
Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич
Аннотация: To experimentally realize quantum computations on d-level basic elements (qudits) at d 2, it is necessary to develop schemes for the technical realization of elementary logical operators. We have found sequences of selective rotation operators that represent the operators of the quantum Fourier transform (Walsh-Hadamard matrices) for d = 3-10. For the prime numbers 3, 5, and 7, the well-known method of linear algebra is applied, whereas, for the factorable numbers 6, 9, and 10, the representation of virtual spins is used (which we previously applied for d = 4, 8). Selective rotations can be realized, for example, by means of pulses of an RF magnetic field for systems of quadrupole nuclei or laser pulses for atoms and ions in traps.
РИНЦ,
Смотреть статью,
Для получение полного текста обратитесь в библиотеку
Держатели документа:
Институт физики им. Л.В. Киренского Сибирского отделения РАН, 660036 Красноярск, Россия
Доп.точки доступа:
Zobov, V. E.; Зобов, Владимир Евгеньевич