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Quantum algorithms for matrix operations and linear systems of equations

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Communications in Theoretical Physics 2024年第3期76卷 100-112页

作者： Wentao Qi alexandr.I Zenchuk Asutosh Kumar Junde Wu School of Mathematical Sciences Zhejiang UniversityHangzhou 310027China Federal Research Center of Problems of Chemical Physics and Medicinal Chemistry RAS ChernogolovkaRussia P.g.Department of Physics Gaya CollegeMagadh UniversityRampurGaya 823001India Harish-Chandra Research Institute HBNIChhatnag RoadJhunsiPrayagraj 211019India Vaidic and Modern Physics Research Centre Bhagal BhimBhinmalJalore 343029India

Fundamental matrix operations and solving linear systems of equations are ubiquitous in scientific *** the‘sender-receiver’model,we propose quantum algorithms for matrix operations such as matrix-vector product,matrix-matrix product,the sum of two matrices,and the calculation of determinant and inverse *** encode the matrix entries into the probability amplitudes of the pure initial states of *** applying proper unitary transformation to the complete quantum system,the desired result can be found in certain blocks of the receiver’s density *** quantum protocols can be used as subroutines in other quantum ***,we present an alternative quantum algorithm for solving linear systems of equations.

关键词： matrix operation systems of linear equations ‘sender-receiver’quantum computation model quantum algorithm

A system-integrated approach for the design of tourist areas at the local level under changing conditions:A case study in the Altay Mountains

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Regional Sustainability 2024年第2期5卷 89-102页

作者： alexandr.Nikolaevich DUNETS Evgeniya Mikhailovna TABAKAEVA HAN Fang Department of Scientific and Innovative Development Altai State UniversityBarnaul656049Russia Department of Recreational geography ServiceTourism and HospitalityInstitute of GeographyAltai State UniversityBarnaul656049Russia State Key Laboratory of Desert and Oasis Ecology Key Laboratory of Ecological Safety and Sustainable Development in Arid LandsXinjiang Institute of Ecology and GeographyChinese Academy of SciencesUrumqi830011China

The existing approaches for the design of tourist areas often lead to limited flexibility in project *** realize a more flexible approach,in this study,we formulated a model for planning and designing tourist areas at the local ***,specific tools for analyzing tourist areas and ensuring sustainable development under changing conditions were *** study was conducted in two tourist regions,Biryuzovaya Katun tourist complex and Belokurikha destination(including Belokurikha City with Belokurikha 2 gornaya tourist complex and surrounding areas),in the Altay *** employed the recreation opportunity spectrum and proposed a system-integrated programming approach for the design of tourist areas at the destination and site *** key of this approach was the collection and analysis of current spatial data,including the spatial distribution of attractions and visitor *** constructed heat maps using video recording and unmanned aerial vehicle(UAV)observation ***,we analyzed the video stream using an image-analyzing framework You Only Look Once(YOLO)v5 *** heat map of visitor flows based on video recording data in the Andreevskaya Sloboda museum of Belokurikha 2 gornaya tourist complex allowed us to highlight the most attractive sites in this area and classify them into one of three types:points of functional concentration,points of transitional concentration,and points of *** heat maps in Biryuzovaya Katun tourist complex,created using UAV observation data,allowed us to determine the spatiotemporal patterns of visitor flows and tourists’preferences throughout the day within four time intervals:09:00-12:00,13:00-14:00,14:00-15:00,and 16:00-18:00(LST).The maximum visitor flow density occurred from 16:00 to 18:00 in the beach area of the artificial lake.A comparison between the visitor-concentrated sites and the current facilities provided insights into the demand for attractions and facilities and

关键词： Tourism planning Tourist areas Unmanned aerial vehicle(UAV) Visitor flows Heat map Altay Mountains

Cu/TiO_(2) Photocatalysts for CO_(2) Reduction: Structure and Evolution of the Cocatalyst Active Form

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Transactions of Tianjin University 2024年第2期30卷 140-151页

作者： Andrey A.Saraev Anna Yu.Kurenkova Denis D.Mishchenko alexandr.L.Trigub Evgeniy Yu.gerasimov Ekaterina A.Kozlova Boreskov Institute of Catalysis Lavrentieva Ave 5Novosibirsk 630090Russia Synchrotron Radiation Facility SKIF Boreskov Institute of CatalysisNikol’skiy Ave 1Kol’tsovo 630559Russia National Research Center “Kurchatov Institute”Kurchatova Sq 1Moscow 123182Russia

Extensive work on a Cu-modified TiO_(2) photocatalyst for CO_(2) reduction under visible light irradiation was conducted. The structure of the copper cocatalyst was established using UV-vis diff use refl ectance spectroscopy, high-resolution transmis- sion electron microscopy, X-ray absorption spectroscopy, and X-ray photoelectron spectroscopy. It was found that copper exists in different states (Cu 0 , Cu^(+) , and Cu^(2+) ), the content of which depends on the TiO_(2) calcination temperature and copper loading. The optimum composition of the cocatalyst has a photocatalyst based on TiO_(2) calcined at 700℃ and modified with 5 wt% copper, the activity of which is 22 μmol/(h·g cat ) (409 nm). Analysis of the photocatalysts after the photocatalytic reaction disclosed that the copper metal on the surface of the calcined TiO_(2) was gradually converted into Cu_(2) O during the photocatalytic reaction. Meanwhile, the metallic copper on the surface of the noncalcined TiO_(2) did not undergo any trans- formation during the reaction.

关键词： Photocatalysis Photocatalytic CO_(2)conversion Visible light Titanium dioxide Copper Copper oxides Methane formation Photocatalyst transformation

Factors that influence the results of indirect decompression employing oblique lumbar interbody fusion

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World Journal of Orthopedics 2024年第8期15卷 734-743页

作者： Andrey E Bokov Svetlana Y Kalinina Mingiyan I Khaltyrov alexandr.P Saifullin Anatoliy A Bulkin Department of Neurosurgery Institute of Traumatology and OrthopedicsPrivolzhsky Research Medical UniversityNizhny Novgorod603005Russia Department of Traumatology Orthopedics and NeurosurgeryPrivolzhsky Research Medical UniversityNizhny Novgorod603005Russia

BACKgROUND Indirect decompression is one of the potential benefits of anterior reconstruction in patients with spinal *** the other hand,the reported rate of revision surgery after indirect decompression highlights the necessity of working out prediction models for the radiographic results of indirect decompression with assessing their clinical *** To assess factors that influence radiographic and clinical results of the indirect decompression in patients with stenosis of the lumbar *** This study is a single-center cross-sectional evaluation of 80 consecutive patients(17 males and 63 females)with lumbar spinal stenosis combined with the instability of the lumbar spinal *** underwent single level or bisegmental spinal instrumentation employing oblique lumbar interbody fusion(OLIF)with percutaneous pedicle screw *** results of the indirect decompression were assessed using computerized tomography,while MacNab scale was used to assess clinical *** After indirect decompression employing anterior reconstruction using OLIF,the statistically significant increase in the disc space height,vertebral canal square,right and left lateral canal depth were detected(Рgment *** patients with the reduction of the upper vertebrae slip,the median of the relative increase in vertebral canal square accounted for 49.5%with 25%-75%quartile border(2.35;99.75).Six out of 80 patients(7.5%)presented with unsatisfactory results because of residual nerve root *** critical values for lateral recess depth and vertebral canal square that were associated with indirect decompression failure were 3 mm and 80 mm2 *** Indirect decompression employing anterior reconstruction is achieved by the increase in disc height al

关键词： Indirect decompression Anterior reconstruction Central lumbar spinal stenosis Degenerative spondylolisthesis Lateral recess stenosis Spinal instability Oblique lateral interbody fusion

Prediction of coating uniformity in batch fluidized-bed coating process

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Particuology 2022年第2期20卷 41-46页

作者： Andrey A.Lipin alexandr.g.Lipin Department of Processes and Apparatuses of Chemical Technology Ivanovo State University of Chemistry and TechnologyIvanovoRussia

Coating of particulate materials in fluidized beds is a widely used technique to eliminate particle agglomeration,provide slow release of an active substance,or protect active *** thin polymer shells are applied on a particle surface,it is important to determine the process parameters that provide coating *** this study,the degree of coverage,defined as the fraction of the coated surface of the particles,is proposed as a quantitative criterion of coating uniformity.A new model for the batch fluidized-bed coating process is *** model allows prediction of the function of particle distribution according to the degree of coverage at a given process time and thereby enables assessment of coating *** algorithm for the numerical solution of model equations for a batch fluidized-bed coater is *** influences of the main process parameters on the coating uniformity were shown.

关键词： Coating uniformity Degree of coverage Encapsulation Fluidized-bed coating Mathematical modeling

Hyperstatic reaction method for calculations of tunnels with horseshoe-shaped cross-section under the impact of earthquakes

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Earthquake Engineering and Engineering Vibration 2020年第1期19卷 179-188页

作者： Thanh Nguyen Chi gospodarikov alexandr Saint Petersburg Mining University Saint PetersburgRussia Federation Hanoi University of Mining and geology HanoiVietnam

Tunnels are now an integral part of the infrastructure in major cities around the world. For many reasons, these tunnels have horseshoe-shaped cross-sections with round top and flat bottom. This paper presents some improvements to the use of the Hyperstatic Reaction Method-HRM for analysing tunnels with horseshoe-shaped cross-sections when these tunnels operate under the influence of earthquakes, particularly in cases when the tunnel lining is a continuous lining. The analysis used parameters of a tunnel from the Hanoi metro system, as well as parameters of the strongest earthquake that may occur in the central Hanoi area in the improved HRM and 2 D numerical methods using the ABAQUS software. On the basis of the results obtained, the paper gives conclusions about the HRM methodology when it is used to calculate tunnels that have horseshoe cross-sections operating under the influence of earthquakes.

关键词： hyperstatic reaction method earthquake horseshoe cross-section impact tunnel

The Berezitovoe gold-polymetallic deposit(Upper Amur region,Russia)：Structure,mineralogy and genetic aspects

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geoscience Frontiers 2016年第3期7卷 483-494页

作者： alexandr.S. Vakh Vadim g. Khomich Natalia g. Boriskina M. Santosh far East geological Institute Far East Branch of Russian Academy of Sciences 159 Prospect 100 let Vladivastoku Vladivostok 690022 Russia School of Engineering Far Eastern Federal University 8 Suhanova St. Vladivostok 690950 Russia Department of Earth Sciences University of Adelaide SA 5005 Australia School of Earth Sciences and Resources China University of Geosciences Beijing 29 Xueyuan Road Beijing 100083 China

The Berezitovoe deposit in the Sergachi volcano-plutonic and metallogenic belt preserves evidence for polymetallic mineralization of multiple *** steeply dipping gamet-tourmaline-muscovite-quartz metasomatites（with K-Ar ages of 132 ± 2.9 and 127 ± 4.4 Ma） carry two distinct stages of mineralization developed at different times：（1） polymetallic mineralization and（2） *** deposit is located within Paleozoic gneissose granitoids of the Pikansky complex（dated as 379 ± 1.1 Ma by zircon U-Pb method） intruded by early Cretaceous porphyry-like granites of the Haikta pluton（dated as137 ± 0.67 Ma by zircon U-Pb method） and late Cretaceous dikes of porphyrites,porphyries,and *** suggests the action of late gold-bearing hydrothermal fluids on the early polymetallic ores and the selective mobilization of some elements from these lead to redeposition together with complex sulphosalts.

关键词： Amur River head gold Early Cretaceous Metallogeny Tectonics

Optical characteristics of UV-VUV lamps on the electronic-vibrational transitions of the hydroxyl radical pumped by a nanosecond capacitive discharge

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High Voltage 2017年第2期2卷 78-81页

作者： alexandr.Shuaibov Roksolana gritzak Uzhgorod National University Pidhirna vul.4688000 UzhgorodUkraine

This paper presents the results of a study of UV and VUV low-pressure lamp pumped by nanosecond capacitive *** lamp works on the mixtures of helium and argon with water vapor(H_(2)O)or‘heavy’water(D_(2)O).At the capacitive low-pressure lamp emission spectra are mainly narrow band 308 nm OH(A-X)and large band in the VUV spectral range:140-200 nm OH(C,B,A).Found,that the increasing the partial pressure of H_(2)O and D_(2)O(>130-150 Pa)led to a decrease in the intensity of VUV radiation of hydroxyl *** the transition from He/H_(2)O mixture to He/D_(2)O mixture,the optimal pressure of helium is *** partial pressure of argon led to increased intensity of radiation of hydroxyl in the VUV *** study of emission characteristics of OD^(*)-lamps on a mixture of He/D_(2)O and the OH^(*)-lamps on a mixture of He/H_(2)O showed that the intensity of the bands OD(X,C,A)is 1.5 times larger than the intensity of the bands OH(X,C,A).The maximum absolute intensity of UV-VUV radiation of the lamp(at a frequency of 1000 Hz)reached 1 W.

关键词： pumped characteristics bands

The theory of information images： Modeling based on diffusion equations

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International Journal of Biomathematics 2016年第6期9卷 139-150页

作者： alexandr.Y. Petukhov Sofia A. Polevaya Vladimir g. Yakhno Lobachevsky Nizhny Novgorod State University 23 gagarin Avenue 603950 Nizhniy Novgorod Russia

This work represents a formalized description of information and communicative interac- tions of individuals on the basis of theory of information images （II）. It also demonstrates how important it is to choose the models type adequate to the systems under research. It also introduces an explication of the possibility to create the model of information and communication interactions that can illustrate transmission of information between two and more individuals. Methods and approaches suggested in this paper allow us to compare different levels of the described processes depending on the chosen architecture of the model; the methods and approaches mentioned in the current work can be also used to simulate the processes of distortion and generation of information images while information and communication social interaction. Expansion and addition of informa- tion images theory in terms of transmission of information among individuals enables us to speak about the space of individual II. The existence of such a space and creation of correct formalized model help us to explain a number of characteristic phenomena of human thinking processes. As a result of this research, the authors introduce an equa- tion that describes the spatial and structural evolution of individual II. There is also an example of modeling on the basis of this theory taking into account the results of the experiment （bilingual Stroop test）.

关键词： Communication field information image the information images space vir-tual particles bilingual Stroop test.