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1.


   
    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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2.


    Shauro, V. P.
    Exact solutions for time-optimal control of spin I=1 by NMR / V. Shauro // Quantum Inf. Process. - 2015. - Vol. 14, Is. 7. - P. 2345-2355, DOI 10.1007/s11128-015-0999-8. - Cited References:34. - The author thanks V.E. Zobov for fruitful discussions. This study was supported by the Russian Foundation for Basic Research, Project No. 14-07-31086. . - ISSN 1570. - ISSN 1573-1332. -
РУБ Physics, Multidisciplinary + Physics, Mathematical
Рубрики:
QUANTUM COMPUTATION
   SYSTEMS

Кл.слова (ненормированные):
Quantum gate -- Qutrit -- Time-optimal control -- Nuclear magnetic resonance
Аннотация: We consider the problem of time-optimal control of quadrupole nucleus with the spin I = 1 by NMR. In contrast to the conventional methods based on selective pulses, the control is implemented using nonselective pulses separated by free-evolution intervals. Using the Cartan decomposition, the system of equations is obtained for finding parameters of a control field. Partial time-optimal solutions for the important single-qutrit gates (selective rotations and quantum Fourier transform) are found. The strong dependence of minimum gate implementation times on global phase of the gate is observed. The analytical values of minimum times are consistent with the numerical data.

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Доп.точки доступа:
Шауро, Виталий Павлович; Russian Foundation for Basic Research [14-07-31086]
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3.


    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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4.


    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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5.


   
    Time-optimal control of quantum dynamics of a quadrupole nucleus by NMR techniques [Text] / V. P. Shauro, V. E. Zobov // The International Conference "Micro- and nanoelectronics - 2009". - 2009. - Ст. q2-09. - P.

Материалы конференции

Доп.точки доступа:
Shauro, V.P.; Zobov, V.E.; "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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6.


    Zobov, V. E.
    Effect of a phase factor on the minimum time of a quantum gate / V. E. Zobov, V. P. Shauro // J. Exp. Theor. Phys. - 2014. - Vol. 118, Is. 1. - P. 18-26, DOI 10.1134/S106377611401021X. - Cited References: 42 . - ISSN 1063-7761. - ISSN 1090-6509
РУБ Physics, Multidisciplinary
Рубрики:
ALGORITHMS
Аннотация: A relationship between the phase factor of a quantum gate, the layout of energy levels of its effective Hamiltonian, and the implementation time of the gate is demonstrated. By an example of the direct and inverse quantum Fourier transforms (QFT) gates for a qutrit represented by a quadrupole nucleus with spin I = 1, as well as for a system of two qubits (I = 1/2), effective Hamiltonians and minimum implementation times corresponding to different global phases are obtained. Implementation schemes are proposed for these Hamiltonians by the nuclear magnetic resonance (NMR) technique with the use of sequences of radio-frequency (RF) pulses separated by intervals of free evolution. Analytic results for the minimum times of gates are in agreement with the results obtained by numerical optimization methods. The phase considered is divided into dynamic and geometric parts.

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Публикация на русском языке Зобов, Владимир Евгеньевич. О влиянии фазового множителя на минимальное время реализации квантового вентиля [Текст] / В. Е. Зобов, В. П. Шауро // Журн. эксперим. и теор. физ. : Наука, 2014. - Т. 145 Вып. 1. - С. 25-34


Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Зобов, Владимир Евгеньевич
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7.


    Zobov, V. E.
    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
Рубрики:
EXPERIMENTAL REALIZATION
   FOURIER-TRANSFORM

   COMPUTATION

   SYSTEMS

   GATES

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
}
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8.


    Zobov, V. E.
    On time-optimal NMR control of states of qutrits represented by quadrupole nuclei with the spin I=1 / V. E. Zobov, V. P. Shauro // J. Exp. Theor. Phys. - 2011. - Vol. 113, Is. 2. - P. 181-191, DOI 10.1134/S1063776111060094. - Cited References: 48. - This work was supported by the Russian Foundation for Basic Research (project no. 09-07-00138) and the Dynasty Foundation. . - ISSN 1063-7761
РУБ Physics, Multidisciplinary
Рубрики:
QUANTUM COMPUTATION
   MAGNETIC-RESONANCE

   ALGORITHMS

   ELEMENTS

   PULSES

   DESIGN

   QUDITS

   GATES

Кл.слова (ненормированные):
Logical operators -- Nuclear spins -- Numerical optimizations -- Optimality -- Physical parameters -- Quadrupole nuclei -- Qutrits -- Radio frequencies -- RF pulse -- Three level systems -- Time dependence -- Time-optimal -- Computer control systems -- Computer simulation -- Fourier transforms -- Optimization -- Quantum computers -- Resonance -- Nuclear quadrupole resonance
Аннотация: Elementary logical operators (selective rotation, Fourier transform, controllable phase shift, and SUM gate) are considered for a quantum computer based on three-level systems (qutrits) represented by nuclear spins I = 1 under nuclear magnetic resonance conditions. The computer simulation of the realization of these operators by means of simple and composite selective radiofrequency (RF) pulses and optimized RF pulses is performed. The time dependence of the amplitude of last pulses is found by numerical optimization at different durations. Two variants are proposed for realization of a two-qutrit SUM gate by using one-qutrit or two-qutrit optimized RF pulses. The calculated time dependences of realization errors were used to study the time optimality of different methods for obtaining gates, proposed earlier and in this paper. The advantages and disadvantages of each of the methods are evaluated for different values of physical parameters.

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Держатели документа:
[Zobov, V. E.
Shauro, V. P.] Russian Acad Sci, Siberian Branch, LV Kirensky Phys Inst, Krasnoyarsk 660036, Russia
ИФ СО РАН
L.V. Kirensky Institute of Physics, Siberian Branch, Russian Academy of Sciences, Krasnoyarsk 660036, Russian Federation

Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Зобов, Владимир Евгеньевич
}
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9.


    Zobov, V. E.
    Selective control of states of a three-level quadrupolar nucleus using non-selective radio-frequency pulses / V. E. Zobov, V. P. Shauro ; ed. Zobov, // Quantum Informatics 2007. Ser. Proceedings of SPIE : SPIE-Int. Soc. Optical Engineering, 2008. - Vol. 7023. - Ст. 70230N, DOI 10.1117/12.801921. - Cited References: 15 . - ISBN 0277-786X. - ISBN 978-0-8194-7236-6
РУБ Physics, Mathematical

Кл.слова (ненормированные):
computation -- qutrit -- quadrupolar nucleus -- magnetic resonance -- radio-frequency pulses -- Computation -- Magnetic resonance -- Quadrupolar nucleus -- Qutrit -- Radio-frequency pulses -- U ,V operator -- Evolution (CO) -- Quadrupolar nucleus -- Quadrupole nuclei -- Quantum informatics -- Radio frequency (RF) pulses -- rf pulses -- Selective control -- Rotation
Аннотация: The scheme for obtaining the composite operator of the selective rotation from nonselective RF pulses separated by intervals of free evolution has been proposed for quadrupole nuclei. On an example of three levels, it, has been shown that the rotation by this operator is performed with accuracy comparable with the accuracy of a simple selective RF pulse, but in shorter time.

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Доп.точки доступа:
Shauro, V. P.; Шауро, Виталий Павлович; Zobov, V. E. \ed.\; Зобов, Владимир Евгеньевич; International Symposium on Quantum Informatics(4 ; Oct. 2-5, 2007 ; Moscow)
}
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10.


    Zobov, V. E.
    Selective control of the states of a three-level quadrupole nucleus by means of nonselective RF pulses / V. E. Zobov, V. P. Shauro // JETP Letters. - 2007. - Vol. 86, Is. 4. - P. 230-234, DOI 10.1134/S0021364007160023. - Cited References: 13 . - ISSN 0021-3640
РУБ Physics, Multidisciplinary

Аннотация: The scheme for obtaining the composite operator of the selective rotation from nonselective RF pulses separated by intervals of free evolution has been proposed for quadrupole nuclei. Using the example of three levels, it has been shown that the rotation by this operator is performed with an accuracy comparable with the accuracy of a simple selective RF pulse but in a shorter amount of time.

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Scopus,
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Держатели документа:
Russian Acad Sci, LV Kirensky Phys Inst, Siberian Div, Krasnoyarsk 660036, Russia
Siberian Fed Univ, Krasnoyarsk 660041, Russia
ИФ СО РАН
Kirensky Institute of Physics, Siberian Division, 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; Зобов, Владимир Евгеньевич
}
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