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1.


    Zobov, V. E.
    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
Рубрики:
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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Публикация на русском языке Зобов, Владимир Евгеньевич. О выполнении квантового адиабатического алгоритма факторизации на двух кудитах [Текст] / В. Е. Зобов, А. С. Ермилов // Журн. эксперим. и теор. физ. : Наука, 2012. - Т. 141 Вып. 6. - С. 1060-1070

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
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2.


    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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3.


    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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