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Каталог книг и брошюр библиотеки ИФ СО РАН
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Общее количество найденных документов : 135
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1.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Popov M. A.
Заглавие : A Monte Carlo study of the dependence of the growth parameter for trees on the lattice dimension in the Eden model
Место публикации : Theor. Math. Phys. - 2001. - Vol. 126, Is. 2. - P.270-279. - ISSN 0040-5779, DOI 10.1023/A:1005260114182
Примечания : Cited References: 17
Предметные рубрики: DIFFUSION-LIMITED AGGREGATION
BRANCHED POLYMERS
HIGH-TEMPERATURES
EXPANSION
TIME
Аннотация: We use the Monte Carlo method to compute the number of trees with n edges in the Eden model on d-dimensional simple cubic lattices for d = 2, 3, 4, 6, 8, 10. We compare these numbers with the exact data derived by the enumeration method up to n = 12 on the square lattice and up to n = 10 on the cubic lattice. We find that for d greater than or equal to 3, the computed values of the growth parameter for trees agree with the values that we derived earlier by the expansion in inverse powers of 2d - 1.
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2.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Pekhterev D. I.
Заглавие : Adder on ternary base elements for a quantum computer
Место публикации : JETP Letters. - 2009. - Vol. 89, Is. 5. - P.260-263. - ISSN 0021-3640, DOI 10.1134/S0021364009050105
Примечания : Cited References: 14
Предметные рубрики: FULL ADDER
Аннотация: A circuit consisting of elementary quantum logic operators has been proposed for an adder in the ternary number system. A sequence of RF magnetic field pulses has been found for its implementation by the nuclear magnetic resonance method on a chain of quadrupole nuclei with spin I = 1. The numerical simulation of the adder operation has been performed.
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3.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Pekhterev D. I.
Заглавие : Adder on Ternary Base Elements for a Quantum Computer (vol 89, pg 260, 2009)
Разночтения заглавия :авие SCOPUS: Erratum to: Adder on ternary base elements for a quantum computer (Pis'ma Zh. Eksp. Teor. Fiz., (2009), 89, (303)) (JETP Lett., (2009), 89, (260))
Место публикации : JETP Letters. - 2009. - Vol. 90, Is. 8. - P.592-592. - ISSN 0021-3640, DOI 10.1134/S0021364009200090
Примечания : Cited References: 1
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4.

Вид документа : Статья из сборника (однотомник)
Шифр издания :
Автор(ы) : Zobov V. E., Pichkovskiy I. S.
Заглавие : Associative memory on qutrits by means of quantum annealing
Коллективы : "Magnetic Resonance - Current State and Future Perspectives", International Conference, Казанский (Приволжский) федеральный университет, Казанский физико-технический институт им. Е. К. Завойского Казанского научного центра РАН
Место публикации : International Conference “Magnetic Resonance – Current State and Future Perspectives” (EPR-75): book of abstracts. - Kazan, 2019. - P.63
Примечания : Cited References: 6
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5.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Pichkovskiy I. S.
Заглавие : Associative memory on qutrits by means of quantum annealing
Место публикации : Quantum Inf. Process. - 2020. - Vol. 19, Is. 9. - Ст.342. - ISSN 1570-0755, DOI 10.1007/s11128-020-02851-x. - ISSN 1573-1332(eISSN)
Примечания : Cited References: 23
Аннотация: When associative memory is implemented on the well-studied Hopfield network, patterns are recorded in the interaction constants between binary neurons. These constants are chosen so that each pattern should have its own minimum energy of the system described by the Ising model. In the quantum version of the Hopfield network, it was proposed to recall such states by the adiabatic change of the Hamiltonian in time. Qubits, quantum elements with two states, for example, spins with S=1/2 were considered as neurons. In this paper, for the first time, we study the function of associative memory using three-level quantum elements-qutrits, represented by spins with S=1. We record patterns with the help of projection operators. This choice is due to the need to operate with a state with a zero spin projection, whose interaction with the magnetic field vanishes. We recall the state corresponding to one of the patterns recorded in the memory, or superposition of such states by means of quantum annealing. To equalize the probabilities of finding the system in different states of superposition, an auxiliary Hamiltonian is proposed, which is turned off at the end of evolution. Simulations were performed on two and three qutrits and an increase in the memory capacity after replacing qubits with qutrits was shown.
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6.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Lundin A. A., Zobov V. E.
Заглавие : Asymptotic similarity of time correlation functions and shape of the 13C and 29Si NMR spectra in diamond and silicon
Коллективы : Institute of Chemical Physics of the Russian Academy of Science [0082-2018-0005, TSITIS AAAA-A18-118020690203]
Место публикации : J. Exp. Theor. Phys. - 2018. - Vol. 127, Is. 2. - P.305-315. - ISSN 1063-7761, DOI 10.1134/S1063776118080216. - ISSN 1090-6509(eISSN)
Примечания : 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.
Предметные 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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7.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : ZOBOV V. E.
Заглавие : AUTO-CORRELATION FUNCTION OF A HEISENBERG PARAMAGNET IN THE APPROXIMATION OF A SELF-CONSISTENT FLUCTUATING FIELD
Место публикации : Theor. Math. Phys.: PLENUM PUBL CORP, 1988. - Vol. 77, Is. 3. - P1299-1309. - ISSN 0040-5779, DOI 10.1007/BF01016985
Примечания : Cited References: 22
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8.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : ZOBOV V. E.
Заглавие : AUTOCORRELATION FUNCTIONS OF THE ANISOTROPIC HEISENBERG PARAMAGNET IN THE APPROXIMATION OF A SELF-CONSISTENT FLUCTUATING FIELD
Место публикации : Theor. Math. Phys.: PLENUM PUBL CORP, 1990. - Vol. 84, Is. 1. - P751-757. - ISSN 0040-5779, DOI 10.1007/BF01017200
Примечания : Cited References: 10
Предметные рубрики: RELAXATION
Аннотация: The method proposed earlier for investigating the dynamics of the isotropic Heisenberg paramagnet at high temperatures is generalized to the anisotropic case. A system of nonlinear integrodifferential equations relating the three autocorrelation functions of the x, y, and z components of an individual spin is obtained. A solution of the system is sought in the form of series in powers of the time and is investigated on the plane of the complex time variable. The coefficients of the series up to the tenth order for the xy model and the model with truncated dipole interaction are calculated, and the parameters of the singular points nearest the origin are determined from them.
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9.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Zobov V. E., Pichkovskiy I. S.
Заглавие : Clustering by quantum annealing on the three-level quantum elements qutrits
Место публикации : Quantum Inf. Process. - 2022. - Vol. 21, Is. 4. - Ст.144. - ISSN 15700755 (ISSN), DOI 10.1007/s11128-022-03482-0
Примечания : Cited References: 28. - This study was supported by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1. We are grateful for their trust and assistance in research
Аннотация: Clustering is grouping of data by the proximity of some properties. We report on the possibility of increasing the efficiency of clustering of points in a plane using artificial quantum neural networks after the replacement of the two-level neurons called qubits represented by the spins S = 1/2 by the three-level neurons called qutrits represented by the spins S = 1. The problem has been solved by the slow adiabatic change of the Hamiltonian in time. The methods for controlling a qutrit system using projection operators have been developed and the numerical simulation has been performed. The Hamiltonians for two well-known clustering methods, one-hot encoding and k-means, have been built. The first method has been used to partition a set of six points into three or two clusters and the second method, to partition a set of nine points into three clusters and seven points into four clusters. The simulation has shown that the clustering problem can be effectively solved on qutrits represented by the spins S = 1. The advantages of clustering on qutrits over that on qubits have been demonstrated. In particular, the number of qutrits required to represent N data points is smaller than the number of qubits by a factor of log 2N/ log 3N. For qutrits, the simplest is to partition the data points into three clusters rather than two ones. At the data partition into more than three clusters, it has been proposed to number the clusters by the numbers of states of the corresponding multi-spin subsystems, instead of using the numbers of individual spins. This reduces even more the number of qutrits (Nlog 3K instead of NK) required to implement the algorithm.
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10.

Вид документа : Статья из журнала
Шифр издания :
Автор(ы) : Pichkovskiy I. S., Zobov V. E.
Заглавие : Clustering into three groups on a quantum processor of five spins S = 1, controlled by pulses of resonant RF fields
Место публикации : Appl. Magn. Reson. - 2023. - Vol. 54, Is. 7. - P.661-677. - ISSN 09379347 (ISSN), DOI 10.1007/s00723-023-01544-9. - ISSN 16137507 (eISSN)
Примечания : Cited References: 44. - This work funded by the Theoretical Physics and Mathematics Advancement Foundation “BASIS” #20-1-5-41-1
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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