Библиотека института физики им. Л.В. Киренского СО РАН

Главная

Базы данных

Труды сотрудников ИФ СО РАН - результаты поиска

Вид поиска

Каталог книг и брошюр библиотеки ИФ СО РАН

Каталог журналов библиотеки ИФ СО РАН

Труды сотрудников ИФ СО РАН

Область поиска

Формат представления найденных документов:
полный	информационный	краткий

Отсортировать найденные документы по:
автору	заглавию	году издания	типу документа

Поисковый запрос: (<.>S=ALGORITHMS<.>)

Общее количество найденных документов : 4
Показаны документы с 1 по 4

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.
WOS,
Читать в сети ИФ
Найти похожие

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.
WOS,
Scopus,
WOS,
Читать в сети ИФ
Найти похожие

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Shauro V. P.
Заглавие : Effect of a phase factor on the minimum time of a quantum gate
Место публикации : J. Exp. Theor. Phys.: MAIK Nauka-Interperiodica / Springer, 2014. - Vol. 118, Is. 1. - P.18-26. - ISSN 1063-7761, DOI 10.1134/S106377611401021X. - ISSN 1090-6509
Примечания : Cited References: 42
Предметные 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.
Смотреть статью,
Scopus,
WoS,
Читать в сети ИФ
Найти похожие

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Shauro V. P.
Заглавие : On time-optimal NMR control of states of qutrits represented by quadrupole nuclei with the spin I=1
Разночтения заглавия :авие SCOPUS: On time-optimal NMR control of states of qutrits represented by quadrupole nuclei with the spin i = 1
Место публикации : J. Exp. Theor. Phys.: MAIK NAUKA/INTERPERIODICA/SPRINGER, 2011. - Vol. 113, Is. 2. - P181-191. - ISSN 1063-7761, DOI 10.1134/S1063776111060094
Примечания : Cited References: 48. - This work was supported by the Russian Foundation for Basic Research (project no. 09-07-00138) and the Dynasty Foundation.
Предметные рубрики: QUANTUM COMPUTATION
MAGNETIC-RESONANCE
ALGORITHMS
ELEMENTS
PULSES
DESIGN
QUDITS
GATES
Ключевые слова (''Своб.индексиров.''): 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.
WOS,
Scopus,
Читать в сети ИФ
Найти похожие