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Congress on Evolutionary Computation

作者： Yong-Feng Ge Wei-Jie Yu Jing-Jing Li Zhi-Wen Yu Jun Zhang School of Data and Computer Science Sun Yat-sen University Guangzhou China School of Information Management Sun Yat-sen University Guangzhou China School of Computer South China Normal University Guangzhou China State Key Laboratory of Mathematical Engineering and Advanced Computing China School of Computer Science and Engineering South China University of Technology Guangzhou China

Differential evolution (DE) is a simple and efficient evolutionary algorithm for global optimization. In distributed differential evolution (DDE), the population is divided into several sub-populations and each sub-population evolves independently for enhancing population diversity as well as algorithmic performance. Sub-populations in DDE share their elite individuals with neighborhood through a predefined migration topology. However, the construction of traditional migration topologies does not consider the position information of sub-populations in the search space. The position information is helpful in controlling the degree of diversity between the sub-populations and their migrated individuals. A proper degree of diversity could promote the balance between exploration and exploitation for DDE algorithms. To achieve this target, a dynamic space-driven migration topology is proposed in this paper. The proposed topology is constructed and updated according to the distances between sub-populations. Based on this proposed topology, some sub-populations receive diverse individuals from neighborhood far away while others communicate with neighborhood nearby. Numerical experiments have been performed on 13 diverse test functions. Results verify the advantage of DDE with the proposed migration topology compared to those with classic topologies.

关键词： Topology Sociology Statistics Heuristic algorithms Evolutionary computation Optimization Aerospace electronics

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Upper limits on the isotropic gravitational-wave background from advanced LIGO and advanced Virgo’s third observing run

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Physical Review D 2021年第2期104卷 022004-022004页

作者： R. Abbott T. D. Abbott S. Abraham F. Acernese K. Ackley A. Adams C. Adams R. X. Adhikari V. B. Adya C. Affeldt D. Agarwal M. Agathos K. Agatsuma N. Aggarwal O. D. Aguiar L. Aiello A. Ain T. Akutsu K. M. Aleman G. Allen A. Allocca P. A. Altin A. Amato S. Anand A. Ananyeva S. B. Anderson W. G. Anderson M. Ando S. V. Angelova S. Ansoldi J. M. Antelis S. Antier S. Appert Koya Arai Koji Arai Y. Arai S. Araki A. Araya M. C. Araya J. S. Areeda M. Arène N. Aritomi N. Arnaud S. M. Aronson H. Asada Y. Asali G. Ashton Y. Aso S. M. Aston P. Astone F. Aubin P. Aufmuth K. AultONeal C. Austin S. Babak F. Badaracco M. K. M. Bader S. Bae Y. Bae A. M. Baer S. Bagnasco Y. Bai L. Baiotti J. Baird R. Bajpai M. Ball G. Ballardin S. W. Ballmer M. Bals A. Balsamo G. Baltus S. Banagiri D. Bankar R. S. Bankar J. C. Barayoga C. Barbieri B. C. Barish D. Barker P. Barneo S. Barnum F. Barone B. Barr L. Barsotti M. Barsuglia D. Barta J. Bartlett M. A. Barton I. Bartos R. Bassiri A. Basti M. Bawaj J. C. Bayley A. C. Baylor M. Bazzan B. Bécsy V. M. Bedakihale M. Bejger I. Belahcene V. Benedetto D. Beniwal M. G. Benjamin T. F. Bennett J. D. Bentley M. BenYaala F. Bergamin B. K. Berger S. Bernuzzi D. Bersanetti A. Bertolini J. Betzwieser R. Bhandare A. V. Bhandari D. Bhattacharjee S. Bhaumik J. Bidler I. A. Bilenko G. Billingsley R. Birney O. Birnholtz S. Biscans M. Bischi S. Biscoveanu A. Bisht B. Biswas M. Bitossi M.-A. Bizouard J. K. Blackburn J. Blackman C. D. Blair D. G. Blair R. M. Blair F. Bobba N. Bode M. Boer G. Bogaert M. Boldrini F. Bondu E. Bonilla R. Bonnand P. Booker B. A. Boom R. Bork V. Boschi N. Bose S. Bose V. Bossilkov V. Boudart Y. Bouffanais A. Bozzi C. Bradaschia P. R. Brady A. Bramley A. Branch M. Branchesi J. E. Brau M. Breschi T. Briant J. H. Briggs A. Brillet M. Brinkmann P. Brockill A. F. Brooks J. Brooks D. D. Brown S. Brunett G. Bruno R. Bruntz J. Bryant A. Buikema T. Bulik H. J. Bulten A. Buonanno R. Buscicchio D. Buskulic R. L. Byer L. Cadonati M. Caesar G. Cagnoli C. Cahillane H. W. Cain, III J. Calderón Bustillo J. LIGO Laboratory California Institute of Technology Pasadena California 91125 USA Louisiana State University Baton Rouge Louisiana 70803 USA Inter-University Centre for Astronomy and Astrophysics Pune 411007 India Dipartimento di Farmacia Università di Salerno I-84084 Fisciano Salerno Italy INFN Sezione di Napoli Complesso Universitario di Monte S. Angelo I-80126 Napoli Italy OzGrav School of Physics & Astronomy Monash University Clayton 3800 Victoria Australia Christopher Newport University Newport News Virginia 23606 USA LIGO Livingston Observatory Livingston Louisiana 70754 USA OzGrav Australian National University Canberra Australian Capital Territory 0200 Australia Max Planck Institute for Gravitational Physics (Albert Einstein Institute) D-30167 Hannover Germany Leibniz Universität Hannover D-30167 Hannover Germany University of Cambridge Cambridge CB2 1TN United Kingdom Theoretisch-Physikalisches Institut Friedrich-Schiller-Universität Jena D-07743 Jena Germany University of Birmingham Birmingham B15 2TT United Kingdom Center for Interdisciplinary Exploration & Research in Astrophysics (CIERA) Northwestern University Evanston Illinois 60208 USA Instituto Nacional de Pesquisas Espaciais 12227-010 São José dos Campos São Paulo Brazil Gravity Exploration Institute Cardiff University Cardiff CF24 3AA United Kingdom Gran Sasso Science Institute (GSSI) I-67100 L’Aquila Italy INFN Laboratori Nazionali del Gran Sasso I-67100 Assergi Italy INFN Sezione di Pisa I-56127 Pisa Italy Università di Pisa I-56127 Pisa Italy Gravitational Wave Science Project National Astronomical Observatory of Japan (NAOJ) Mitaka City Tokyo 181-8588 Japan Advanced Technology Center National Astronomical Observatory of Japan (NAOJ) Mitaka City Tokyo 181-8588 Japan California State University Fullerton Fullerton California 92831 USA NCSA University of Illinois at Urbana-Champaign Urbana Illinois 61801 USA Università di Napoli “Federico II” Complesso Universitario

We report results of a search for an isotropic gravitational-wave background (GWB) using data from advanced LIGO’s and advanced Virgo’s third observing run (O3) combined with upper limits from the earlier O1 and O2 runs. Unlike in previous observing runs in the advanced detector era, we include Virgo in the search for the GWB. The results of the search are consistent with uncorrelated noise, and therefore we place upper limits on the strength of the GWB. We find that the dimensionless energy density ΩGW≤5.8×10−9 at the 95% credible level for a flat (frequency-independent) GWB, using a prior which is uniform in the log of the strength of the GWB, with 99% of the sensitivity coming from the band 20–76.6 Hz; ΩGW(f)≤3.4×10−9 at 25 Hz for a power-law GWB with a spectral index of 2/3 (consistent with expectations for compact binary coalescences), in the band 20–90.6 Hz; and ΩGW(f)≤3.9×10−10 at 25 Hz for a spectral index of 3, in the band 20–291.6 Hz. These upper limits improve over our previous results by a factor of 6.0 for a flat GWB, 8.8 for a spectral index of 2/3, and 13.1 for a spectral index of 3. We also search for a GWB arising from scalar and vector modes, which are predicted by alternative theories of gravity; we do not find evidence of these, and place upper limits on the strength of GWBs with these polarizations. We demonstrate that there is no evidence of correlated noise of magnetic origin by performing a Bayesian analysis that allows for the presence of both a GWB and an effective magnetic background arising from geophysical Schumann resonances. We compare our upper limits to a fiducial model for the GWB from the merger of compact binaries, updating the model to use the most recent data-driven population inference from the systems detected during O3a. Finally, we combine our results with observations of individual mergers and show that, at design sensitivity, this joint approach may yield stronger constraints on the merger rate of binary black holes at z≳2

关键词： Gravitational wave detection

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Non-malleability under selective opening attacks: Implication and separation 13th

Non-malleability under selective opening attacks: Implicatio...

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13th International Conference on Applied Cryptography and Network Security, ACNS 2015

作者： Huang, Zhengan Liu, Shengli Mao, Xianping Chen, Kefei Department of Computer Science and Engineering Shanghai Jiao Tong University Shanghai200240 China School of Science Hangzhou Normal University Hangzhou310036 China State Key Laboratory of Mathematical Engineering and Advanced Computing Wuxi214000 China

ISBN: (纸本)9783319281650

We formalize the security notions of non-malleability under selective opening attacks (NM-SO security) in two approaches: the indistinguishability-based approach and the simulation-based approach. We explore the relations between NM-SO security notions and the known selective opening security notions, and the relations between NM-SO security notions and the standard non-malleability notions. © Springer International Publishing Switzerland 2015.

关键词： Public key cryptography

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A security routing model based on trust for medical sensor networks

A security routing model based on trust for medical sensor n...

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International Conference on Communication Software and Networks, ICCSN

作者： Yan Gao Wenfen Liu Zhengzhou Institute of Information Science and Technology State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou China Zhengzhou Institute of Information Science and Technology State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou China

ISBN: (纸本)9781479919857

With the development of medical sensor networks, the security has becomes an important issue. In this paper, a security routing model based on trust is proposed for medical sensor networks. To measure the credibility of each path from the source master node to the base station, a calculation method with Tsallis entropy is put forward on the basis of trust values of intermediate master nodes in the path. With the properties of Tsallis entropy, path Tsallis entropy can comprehensively reflect the uncertainty of all the intermediate nodes in each path. Based on this, the trust value of each path is obtained. Therefore the path with the maximum trust value is selected to transfer the data from the multiple paths. Simulation experiments show that the proposed model enables the transfer to effectively avoid such paths containing the low-trust nodes, so that the packet successful delivery rate has a great improvement and the ability against malicious attacks is also enhanced.

关键词： Routing Entropy Base stations Security Medical diagnostic imaging Wireless sensor networks Wireless communication

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An IP geolocation method based on rich-connected sub-networks

An IP geolocation method based on rich-connected sub-network...

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International Conference on advanced Communication Technology (ICACT)

作者： Shichang Ding Xiangyang Luo Meijuan Yin Yan Liu Fenlin Liu State Key Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Science and Technology Institute China

ISBN: (纸本)9781467381161

Recent years have seen a rapid growth of location-aware applications such as targeted marketing, restricted content delivery and location-based security check. Although existing delay-based IP geolocation techniques work well in some developed countries, the assumption of a strong delay-distance correlation that they often rely on may fail in many developing countries for poor network connectivity. To obtain more accurate delay-based IP geolocation results in poor-connected networks, an IP geolocation method based on rich-connected sub-networks is presented in this paper. At first, the network connectivity of one particular network is measured. Next, if the network is poor-connected, the method will divide it and search rich-connected sub-networks based on properties such as ISP and location information of probing hosts and landmarks. Then, based on the discovered rich-connected sub-networks, landmarks and probing hosts are deployed and selected to measure data such as delay, distance and topology, etc. At last, the location of the target host is estimated by modifying the processes of existing delay-based IP geolocation techniques based on selected landmarks and probing hosts. The experiments which cover 30 provinces and 3 major ISPs of China show that the proposed method can find corresponding rich-connected sub-networks and significantly improve the performance of existing typical delay-based IP geolocation techniques in an actual poor-connected network.

关键词： Geology IP networks Cities and towns Delays Correlation Internet Databases

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Search for Continuous Gravitational Waves from Known Pulsars in the First Part of the Fourth LIGO-Virgo-KAGRA Observing Run

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Astrophysical Journal 2025年第2期983卷 99-99页

作者： Abac, A.G. Abbott, R. Abouelfettouh, I. Acernese, F. Ackley, K. Adhicary, S. Adhikari, N. Adhikari, R.X. Adkins, V.K. Agarwal, D. Agathos, M. Aghaei Abchouyeh, M. Aguiar, O.D. Aguilar, I. Aiello, L. Ain, A. Ajith, P. Akutsu, T. Albanesi, S. Alfaidi, R.A. Al-Jodah, A. Alléné, C. Allocca, A. Al-Shammari, S. Altin, P.A. Alvarez-Lopez, S. Amato, A. Amez-Droz, L. Amorosi, A. Amra, C. Ananyeva, A. Anderson, S.B. Anderson, W.G. Andia, M. Ando, M. Andrade, T. Andres, N. Andrés-Carcasona, M. Andrić, T. Anglin, J. Ansoldi, S. Antelis, J.M. Antier, S. Aoumi, M. Appavuravther, E.Z. Appert, S. Apple, S.K. Arai, K. Araya, A. Araya, M.C. Areeda, J.S. Argianas, L. Aritomi, N. Armato, F. Arnaud, N. Arogeti, M. Aronson, S.M. Ashton, G. Aso, Y. Assiduo, M. Assis de Souza Melo, S. Aston, S.M. Astone, P. Attadio, F. Aubin, F. AultONeal, K. Avallone, G. Babak, S. Badaracco, F. Badger, C. Bae, S. Bagnasco, S. Bagui, E. Baier, J.G. Baiotti, L. Bajpai, R. Baka, T. Ball, M. Ballardin, G. Ballmer, S.W. Banagiri, S. Banerjee, B. Bankar, D. Baral, P. Barayoga, J.C. Barish, B.C. Barker, D. Barneo, P. Barone, F. Barr, B. Barsotti, L. Barsuglia, M. Barta, D. Bartoletti, A.M. Barton, M.A. Bartos, I. Basak, S. Basalaev, A. Bassiri, R. Basti, A. Bates, D.E. Bawaj, M. Baxi, P. Bayley, J.C. Baylor, A.C. Baynard, P.A. Bazzan, M. Bedakihale, V.M. Beirnaert, F. Bejger, M. Belardinelli, D. Bell, A.S. Benedetto, V. Benoit, W. Bentley, J.D. Ben Yaala, M. Bera, S. Berbel, M. Bergamin, F. Berger, B.K. Bernuzzi, S. Beroiz, M. Bersanetti, D. Bertolini, A. Betzwieser, J. Beveridge, D. Bevins, N. Bhandare, R. Bhardwaj, U. Bhatt, R. Bhattacharjee, D. Bhaumik, S. Bhowmick, S. Bianchi, A. Bilenko, I.A. Billingsley, G. Binetti, A. Bini, S. Birnholtz, O. Biscoveanu, S. Bisht, A. Bitossi, M. Bizouard, M.-A. Blackburn, J.K. Blagg, L.A. Blair, C.D. Blair, D.G. Bobba, F. Bode, N. Boileau, G. Boldrini, M. Bolingbroke, G.N. Bolliand, A. Bonavena, L.D. Bondarescu, R. Bondu, F. Bonilla, E. Bonilla, M.S. Bonino, A. Bonnand, R. Booker, P. Borchers, A. Boschi, V. Bose, S. Boss Max Planck Institute for Gravitational Physics (Albert Einstein Institute) Potsdam D-14476 Germany LIGO Laboratory California Institute of Technology Pasadena 91125 CA United States LIGO Hanford Observatory Richland 99352 WA United States Dipartimento di Farmacia Università di Salerno Fisciano Salerno I-84084 Italy INFN Sezione di Napoli Napoli I-80126 Italy University of Warwick Coventry CV 47AL United Kingdom The Pennsylvania State University University Park 16802 PA United States University of Wisconsin-Milwaukee Milwaukee 53201 WI United States Louisiana State University Baton Rouge 70803 LA United States Université Catholique de Louvain Louvain-la-Neuve B-1348 Belgium Inter-University Centre for Astronomy and Astrophysics Pune 411007 India Queen Mary University of London London E1 4NS United Kingdom Department of Physics and Astronomy Sejong University 209 Neungdong-ro Gwangjin-gu Seoul 143-747 South Korea Instituto Nacional de Pesquisas Espaciais São José dos Campos São Paulo 12227-010 Brazil Stanford University Stanford 94305 CA United States Università di Roma Tor Vergata Roma I-00133 Italy INFN Sezione di Roma Tor Vergata Roma I-00133 Italy Cardiff University Cardiff CF24 3AA United Kingdom Universiteit Antwerpen Antwerpen 2000 Belgium International Centre for Theoretical Sciences Tata Institute of Fundamental Research Bengaluru 560089 India Gravitational Wave Science Project National Astronomical Observatory of Japan 2-21-1 Osawa Mitaka City Tokyo 181-8588 Japan Advanced Technology Center National Astronomical Observatory of Japan 2-21-1 Osawa Mitaka City Tokyo 181-8588 Japan INFN Sezione di Torino Torino I-10125 Italy Theoretisch-Physikalisches Institut Friedrich-Schiller-Universität Jena Jena D-07743 Germany Dipartimento di Fisica Università degli Studi di Torino Torino I-10125 Italy SUPA University of Glasgow Glasgow G12 8QQ United Kingdom OzGrav University of Western Australia Crawley 6009 WA

Continuous gravitational waves (CWs) emission from neutron stars carries information about their internal structure and equation of state, and it can provide tests of general relativity. We present a search for CWs from a set of 45 known pulsars in the first part of the fourth LIGO-Virgo-KAGRA observing run, known as O4a. We conducted a targeted search for each pulsar using three independent analysis methods considering single-harmonic and dual-harmonic emission models. We find no evidence of a CW signal in O4a data for both models and set upper limits on the signal amplitude and on the ellipticity, which quantifies the asymmetry in the neutron star mass distribution. For the single-harmonic emission model, 29 targets have the upper limit on the amplitude below the theoretical spin-down limit. The lowest upper limit on the amplitude is 6.4 × 10^-27 for the young energetic pulsar J0537-6910, while the lowest constraint on the ellipticity is 8.8 × 10^-9 for the bright nearby millisecond pulsar J0437-4715. Additionally, for a subset of 16 targets, we performed a narrowband search that is more robust regarding the emission model, with no evidence of a signal. We also found no evidence of nonstandard polarizations as predicted by the Brans-Dicke theory. © 2025. The Author(s). Published by the American Astronomical Society.

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Hidden System APIs Based Code Obfuscation

Hidden System APIs Based Code Obfuscation

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2015 International Conference on Mechanical,Electronic and Information Technology engineering

作者： Fei Xiang Fenlin Liu Bin Lu Daofu Gong Zhengzhou Information Science and Technology Institute State Key Laboratory of Mathematical Engineering and Advanced Computing

For the problem that static disassembly can expose system API calls in programs, this paper proposes a kind of code obfuscation aimed at hiding system API calls from reverse analysis. The algorithm is implemented by creating a system API address table and constructing secret index variables. During execution, the program looks up the table for the correct API to call, thus keeping the semantic unchanged. Analysis and experiments show that the algorithm can effectively protect system API calls from static reverse analysis.

关键词： static disassembly reverse analysis code obfuscation system API address table

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Exploiting transmission lines on heterogeneous networks-on-chip to improve the adaptivity and efficiency of cache coherence 15

Exploiting transmission lines on heterogeneous networks-on-c...

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9th IEEE/ACM International Symposium on Networks-on-Chip, NOCS 2015

作者： Hu, Qi Liu, Peng Huang, Michael C. Xie, Xiang-Hui College of Information Science and Electronic Engineering Zhejiang University Hangzhou310027 China Dept. of Electrical and Computer Engineering University of Rochester RochesterNY14627 United States State Key Laboratory of Mathematical Engineering and Advanced Computing Wuxi214125 China

ISBN: (纸本)9781450333962

Emerging heterogeneous interconnects have shown lower latency and higher throughput, which can improve the efficiency of communication and create new opportunities for memory system designs. In this paper, transmission lines are employed as a latency-optimized network and combined with a packet-switched network to create heterogeneous interconnects improving the efficiencies of on-chip communication and cache coherence. We take advantage of this heterogeneous interconnect design, and keep cache coherence adaptively based on data locality. Different type of messages are adaptively directed through selected medium of the heterogeneous interconnects to enhance cache coherence effectiveness. Compared with a state-of-the-art coherence mechanism, the proposed technique can reduce the coherence overhead by 24%, reduce the network energy consumption by 35%, and improve the system performance by 25% on a 64-core system. Copyright is held by the owner/author(s).

关键词： Heterogeneous networks

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Real-time rendering for sea water based on height field model and light interaction

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ICIC Express Letters, Part B: Applications 2016年第9期7卷 1975-1981页

作者： Xu, Jie Zhang, Yang Fu, Jinhua School of Software Zhengzhou University of Light Industry No. 5 Dongfeng Road Zhengzhou450002 China College of Mathematics and Information Science Zhengzhou University of Light Industry No. 5 Dongfeng Road Zhengzhou450002 China State Key-Laboratory of Mathematical Engineering and Advanced Computing Zhengzhou Information Science and Technology Institute Zhengzhou450000 China School of Computer and Communication Engineering Zhengzhou University of Light Industry No. 5 Dongfeng Road Zhengzhou450002 China

Real-time simulation of liquids like sea water is an important task nowadays in the field of computer graphics. In this paper, combined with simulation of light interaction, rendering of sea water at interactive rates is implemented based on the height field model. The focus of the sea rendering is a real-time and graphically realistic simulation, capable of handling different types of illumination such as refraction and reflection. In order to improve the realism of sea water, surface details are efficiently acquired by normal mapping. The effects of lighting and shading via our method are more obvious and clear in such as reflection, refraction, foam and soft shadow, which are in accord with physical interaction between light and water. © 2016 ICIC International.

关键词： Refraction

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Pressure-induced Superconductivity in the three-component fermion topological semimetal molybdenum phosphide

arXiv

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arXiv 2017年

作者： Chi, Zhenhua Chen, Xuliang An, Chao Yang, Liuxiang Zhao, Jinggeng Feng, Zili Zhou, Yonghui Zhou, Ying Gu, Chuanchuan Zhang, Bowen Yuan, Yifang Kenney-Benson, Curtis Yang, Wenge Wu, Gang Wan, Xiangang Shi, Youguo Yang, Xiaoping Yang, Zhaorong Key Laboratory of Materials Physics Institute of Solid State Physics Chinese Academy of Sciences Hefei230031 China Anhui Province Key Laboratory of Condensed Matter Physics at Extreme Conditions High Magnetic Field Laboratory Chinese Academy of Sciences Hefei230031 China University of Science and Technology of China Hefei230026 China Beijing100094 China Department of Physics Harbin Institute of Technology Harbin150080 China Natural Science Research Center Academy of Fundamental and Interdisciplinary Sciences Harbin Institute of Technology Harbin150080 China Beijing National Laboratory for Condensed Matter Physics Institute of Physics Chinese Academy of Sciences Beijing100190 China School of Physical Sciences University of Chinese Academy of Sciences Beijing100190 China Department of Physics and Engineering Zhengzhou University Zhengzhou450052 China HPCAT Geophysical Laboratory Carnegie Institution of Washington ArgonneIL60439 United States Shanghai201203 China Institute of High Performance Computing 1 Fusionopolis Way 16-16 Connexis Singapore138632 Singapore National Laboratory of Solid State Microstructures College of Physics Nanjing University Nanjing210093 China Collaborative Innovation Center of Advanced Microstructures Nanjing University Nanjing210093 China

Topological semimetal, a novel state of quantum matter hosting exotic emergent quantum phenomena dictated by the non-trivial band topology, has emerged as a new frontier in condensed-matter physics. Very recently, a coexistence of triply degenerate points of band crossing and Weyl points near the Fermi level was theoretically predicted and immediately experimentally verified in single crystalline molybdenum phosphide (MoP). Here we show in this material the high-pressure electronic transport and synchrotron X-ray diffraction (XRD) measurements, combined with density functional theory (DFT) calculations. We report the emergence of pressure-induced superconductivity in MoP with a critical temperature Tc of about 2 K at 27.6 GPa, rising to 3.7 K at the highest pressure of 95.0 GPa studied. No structural phase transitions is detected up to 60.6 GPa from the XRD. Meanwhile, the Weyl points and triply degenerate points topologically protected by the crystal symmetry are retained at high pressure as revealed by our DFT calculations. The coexistence of three-component fermion and superconductivity in heavily pressurized MoP offers an excellent platform to study the interplay between topological phase of matter and superconductivity. Copyright © 2017, The Authors. All rights reserved.

关键词： Quantum theory

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