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arXiv 2023年

作者： Batatia, Ilyes Benner, Philipp Chiang, Yuan Elena, Alin M. Kovács, Dávid P. Riebesell, Janosh Advincula, Xavier R. Asta, Mark Avaylon, Matthew Baldwin, William J. Berger, Fabian Bernstein, Noam Bhowmik, Arghya Blau, Samuel M. Cărare, Vlad Darby, James P. De, Sandip Pia, Flaviano Della Deringer, Volker L. Elijošius, Rokas El-Machachi, Zakariya Falcioni, Fabio Fako, Edvin Ferrari, Andrea C. Genreith-Schriever, Annalena George, Janine Goodall, Rhys E.A. Grey, Clare P. Grigorev, Petr Han, Shuang Handley, Will Heenen, Hendrik H. Hermansson, Kersti Holm, Christian Hofmann, Stephan Jaafar, Jad Jakob, Konstantin S. Jung, Hyunwook Kapil, Venkat Kaplan, Aaron D. Karimitari, Nima Kermode, James R. Kroupa, Namu Kullgren, Jolla Kuner, Matthew C. Kuryla, Domantas Liepuoniute, Guoda Margraf, Johannes T. Magdău, Ioan-Bogdan Michaelides, Angelos Harry Moore, J. Naik, Aakash A. Niblett, Samuel P. Norwood, Sam Walton O’Neill, Niamh Ortner, Christoph Persson, Kristin A. Reuter, Karsten Rosen, Andrew S. Schaaf, Lars L. Schran, Christoph Shi, Benjamin X. Sivonxay, Eric Stenczel, Tamás K. Svahn, Viktor Sutton, Christopher Swinburne, Thomas D. Tilly, Jules van der Oord, Cas Vargas, Santiago Varga-Umbrich, Eszter Vegge, Tejs Vondrák, Martin Wang, Yangshuai Witt, William C. Zills, Fabian Csányi, Gábor Engineering Laboratory University of Cambridge Trumpington St and JJ Thomson Ave Cambridge United Kingdom Berlin Germany Department of Materials Science and Engineering University of California BerkeleyCA94720 United States Materials Sciences Division Lawrence Berkeley National Laboratory BerkeleyCA94720 United States Mathematics Department University of British Columbia 1984 Mathematics Rd VancouverBCV6T 1Z2 Canada Institute of Condensed Matter Theory and Solid State Optics Friedrich Schiller University Jena Germany Molecular Foundry Lawrence Berkeley National Laboratory BerkeleyCA94720 United States Bayreuth Germany Fritz-Haber-Institute of the Max-Planck-Society Berlin Germany Energy Technologies Area Lawrence Berkeley National Laboratory BerkeleyCA94720 United States U. S. Naval Research Laboratory WashingtonDC20375 United States Yusuf Hamied Department of Chemistry University of Cambridge Lensfield Road Cambridge United Kingdom Cavendish Laboratory University of Cambridge J. J. Thomson Ave Cambridge United Kingdom Department of Materials Science and Metallurgy University of Cambridge 27 Charles Babbage Road CambridgeCB3 0FS United Kingdom Chemix Inc. SunnyvaleCA94085 United States Inorganic Chemistry Laboratory Department of Chemistry University of Oxford OxfordOX1 3QR United Kingdom Scientific Computing Department Science and Technology Facilities Council Daresbury Laboratory Keckwick Lane DaresburyWA4 4AD United Kingdom BASF SE Carl-Bosch-Straße 38 Ludwigshafen67056 Germany Kavli Institute for Cosmology University of Cambridge Madingley Road CambridgeCB3 0HA United Kingdom Department of Chemistry and Biochemistry University of South Carolina South Carolina29208 United States Lennard-Jones Centre University of Cambridge Trinity Ln CambridgeCB2 1TN United Kingdom Institute for Computational Physics University of Stuttgart Stuttgart70569 Germany Department of Chemistry–Ångström Uppsala University Box 538 Uppsala

Machine-learned force fields have transformed the atomistic modelling of materials by enabling simulations of ab initio quality on unprecedented time and length scales. However, they are currently limited by: (i) the significant computational and human effort that must go into development and validation of potentials for each particular system of interest;and (ii) a general lack of transferability from one chemical system to the next. Here, using the state-of-the-art MACE architecture we introduce a single general-purpose ML model, trained on a public database of 150k inorganic crystals, that is capable of running stable molecular dynamics on molecules and materials. We demonstrate the power of the MACE-MP-0 model — and its qualitative and at times quantitative accuracy — on a diverse set problems in the physical sciences, including the properties of solids, liquids, gases, chemical reactions, interfaces and even the dynamics of a small protein. The model can be applied out of the box and as a starting or "foundation model" for any atomistic system of interest and is thus a step towards democratising the revolution of ML force fields by lowering the barriers to entry. © 2023, CC BY-NC-ND.

关键词： Molecular dynamics

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Quantum and classical query complexities for generalized Simon’s problem

arXiv

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arXiv 2019年

作者： Wu, Zhenggang Qiu, Daowen Tan, Jiawei Li, Hao Cai, Guangya Institute of Quantum Computing and Computer Theory School of Computer Science and Engineering Sun Yat-sen University Guangzhou510006 China The Guangdong Key Laboratory of Information Security Technology Sun Yat-sen University 510006 China

Simon’s problem is an essential example demonstrating the faster speed of quantum computers than classical computers for solving some problems. The optimal separation between exact quantum and classical query complexities for Simon’s problem has been proved by Cai & Qiu. Generalized Simon’s problem can be described as follows. Given a function f : {0, 1}n → {0, 1}m, with the property that there is some unknown hidden subgroup S such that f(x) = f(y) iff x ⊕ y ∈ S, for any x, y ∈ {0, 1}n, where |S| = 2k for some 0 ≤ k ≤ n. The goal is to find S. For the case of k = 1, it is Simon’s problem. In this paper, we propose an exact quantum algorithm with O(n − k) queries and an non-adaptive deterministic classical algorithm with O(k√2n−k) queries for solving the generalized Simon’s problem. Also, we prove that their lower bounds are Ω(n − k) and Ω(√k2n−k), respectively. Therefore, we obtain a tight exact quantum query complexity Θ(n − k) and an almost tight non-adaptive classical deterministic query complexities Ω(√k2n−k) ∼ O(k√2n−k) for this problem. Copyright © 2019, The Authors. All rights reserved.

关键词： Quantum theory

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Efficient simulation of loop quantum gravity — a scalable linear-optical approach

arXiv

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arXiv 2020年

作者： Cohen, Lior Brady, Anthony J. Huang, Zichang Liu, Hongguang Qu, Dongxue Dowling, Jonathan P. Han, Muxin Hearne Institute for Theoretical Physics Department of Physics and Astronomy Louisiana State University Baton RougeLA70803 United States Department of Physics Center for Field Theory and Particle Physics Institute for Nano- electronic devices and Quantum computing Fudan University Shanghai200433 China State Key Laboratory of Surface Physics Fudan University Shanghai200433 China Center for Quantum Computing Pengcheng Laboratory Shenzhen518066 China Department of Physics Florida Atlantic University 777 Glades Road Boca RatonFL33431 United States NYU ECNU Institute of Physics at NYU Shanghai 3663 Zhongshan Road North Shanghai200062 China CAS-Alibaba Quantum Computing Laboratory CAS Center for Excellence in Quantum Information and Quantum Physics University of Science and Technology of China Shanghai201315 China National Institute of Information and Communications Technology 4-2-1 Nukui-Kitamachi Koganei Tokyo184-8795 Japan Institut für Quantengravitation Universität Erlangen-Nürnberg Staudtstr. 7/B2 Erlangen91058 Germany

The problem of simulating complex quantum processes on classical computers gave rise to the field of quantum simulations. Quantum simulators solve problems, such as boson sampling, where classical counterparts fail. In another field of physics, the unification of general relativity and quantum theory is one of the greatest challenges of our time. One leading approach is Loop Quantum Gravity (LQG). Here, we connect these two fields and design a linear-optical simulator such that the evolution of the optical quantum gates simulates the spinfoam amplitudes of LQG. It has been shown that computing transition amplitudes in simple quantum field theories falls into the class BQP – which strongly suggests that computing transition amplitudes of LQG are classically intractable. Therefore, these amplitudes are efficiently computable with universal quantum computers which are, alas, possibly decades away. We propose here an alternative special-purpose linear-optical quantum computer, which can be implemented using current technologies. This machine is capable of efficiently computing these quantities. This work opens a new way to relate quantum gravity to quantum information and will expand our understanding of the theory. Copyright © 2020, The Authors. All rights reserved.

关键词： Relativity

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Correction to: A method of VR‑EEG scene cognitive rehabilitation training

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Health information science and systems 2021年第1期9卷 7页

作者： Wenjun Tan Yang Xu Pan Liu Chunyan Liu Yujin Li Yanrui Du Chao Chen Yuping Wang Yanchun Zhang Key Laboratory of Intelligent Computing in Medical Image Ministry of Education Northeastern University Shenyang 110189 China. Cyberspace Institute of Advanced Technology Guangzhou University Guangzhou 510006 China. Department of Neurology Xuanwu Hospital Capital Medical University Beijing 100053 China. Key Laboratory of Complex System Control Theory and Application Tianjin University of Technology Tianjin 300384 China. Institute for Sustainable Industries and Liveable Cities Victoria University Melbourne VIC 8001 Australia.

[This corrects the article DOI: 10.1007/s13755-020-00132-6.].

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CoRE MOF DB: A curated experimental metal-organic framework database with machine-learned properties for integrated material-process screening

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Matter 2025年第6期8卷

作者： Zhao, Guobin Brabson, Logan M. Chheda, Saumil Huang, Ju Kim, Haewon Liu, Kunhuan Mochida, Kenji Pham, Thang D. Prerna Terrones, Gianmarco G. Yoon, Sunghyun Zoubritzky, Lionel Coudert, François-Xavier Haranczyk, Maciej Kulik, Heather J. Moosavi, Seyed Mohamad Sholl, David S. Siepmann, J. Ilja Snurr, Randall.Q. Chung, Yongchul G. School of Chemical and Biomolecular Engineering Pusan National University Busan46241 Korea Republic of School of Chemical and Biomolecular Engineering Georgia Institute of Technology AtlantaGA30332 United States Department of Chemistry and Chemical Theory Center University of Minnesota 207 Pleasant Street SE MinneapolisMN55455 United States Department of Chemical Engineering and Materials Science University of Minnesota 421 Washington Avenue SE MinneapolisMN55455 United States Department of Chemistry Kavli Energy Nanoscience Institute Bakar Institute of Digital Materials for the Planet College of Computing Data Science and Society University of California Berkeley BerkeleyCA94720 United States Chemical Engineering and Applied Chemistry University of Toronto TorontoONM5S 3E5 Canada Department of Chemical and Biological Engineering Northwestern University EvanstonIL60208 United States Department of Chemical Engineering Massachusetts Institute of Technology CambridgeMA02139 United States Chimie ParisTech PSL University CNRS Institut de Recherche de Chimie Paris Paris75005 France Air Liquide Campus Innovation Paris Les Loges-en-Josas78350 France IMDEA Materials Institute Getafe Madrid28906 Spain Department of Chemistry Massachusetts Institute of Technology CambridgeMA02139 United States Oak Ridge National Laboratory Oak RidgeTN37830 United States of Data Science Pusan National University Busan46241 Korea Republic of

We present an updated version of the Computation-Ready, Experimental (CoRE) Metal-Organic Framework (MOF) database, which includes a curated set of computation-ready MOF crystal structures designed for high-throughput computational materials discovery. Data collection and curation procedures were improved from the previous version to enable more frequent updates in the future. Machine-learning-predicted properties, such as stability metrics and heat capacities, are included in the dataset to streamline screening activities. An updated version of MOFid was developed to provide detailed information on metal nodes, organic linkers, and topologies of an MOF structure. DDEC6 partial atomic charges of MOFs were assigned based on a machine-learning model. Gibbs ensemble Monte Carlo simulations were used to classify the hydrophobicity of MOFs. The finalized dataset was subsequently used to perform integrated material-process screening for various carbon-capture conditions using high-fidelity temperature-swing adsorption (TSA) simulations. Our workflow identified multiple MOF candidates that are predicted to outperform CALF-20 for these applications. © 2025 Elsevier Inc.

关键词： Crystal structure

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Observation of two-vertex four-dimensional spin foam amplitudes with a 10-qubit superconducting quantum processor

arXiv

引用

arXiv 2020年

作者： Zhang, Pengfei Huang, Zichang Song, Chao Guo, Qiujiang Song, Zixuan Dong, Hang Wang, Zhen Li, Hekang Han, Muxin Wang, Haohua Wan, Yidun Interdisciplinary Center for Quantum Information State Key Laboratory of Modern Optical Instrumentation Zhejiang Province Key Laboratory of Quantum Technology and Device Department of Physics Zhejiang University Hangzhou310027 China State Key Laboratory of Surface Physics Fudan University Shanghai200433 China Department of Physics Center for Field Theory and Particle Physics Institute for Nanoelectronic devices and Quantum computing Fudan University Shanghai200433 China Department of Physics Florida Atlantic University 777 Glades Road Boca RatonFL33431 United States Institut für Quantengravitation Universität Erlangen-Nürnberg Staudtstr. 7/B2 Erlangen91058 Germany Department of Physics and Institute for Quantum Science and Engineering Southern University of Science and Technology Shenzhen518055 China

Quantum computers are an increasingly hopeful means for understanding large quantum many-body systems bearing high computational complexity. Such systems exhibit complex evolutions of quantum states, and are prevailing in fundamental physics, e.g., quantum gravity. computing the transition amplitudes between different quantum states by quantum computers is one of the promising ways to solve such computational complexity problems. In this work, we apply a 10-qubit superconducting quantum processor, where the all-to-all circuit connectivity enables a many-body entangling gate that is highly efficient for state generation, to studying the transition amplitudes in loop quantum gravity. With the device metrics such as qubit coherence, control accuracy, and integration level being continuously improved, superconducting quantum processors are expected to outperform their classical counterparts in handling many-body dynamics and may lead to a deeper understanding of quantum gravity. Copyright © 2020, The Authors. All rights reserved.

关键词： Qubits

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Quantum-centric Supercomputing for Materials Science: A Perspective on Challenges and Future Directions

arXiv

引用

arXiv 2023年

作者： Alexeev, Yuri Amsler, Maximilian Barroca, Marco Antonio Bassini, Sanzio Battelle, Torey Camps, Daan Casanova, David Choi, Young Jai Chong, Frederic T. Chung, Charles Codella, Christopher Córcoles, Antonio D. Cruise, James Di Meglio, Alberto Duran, Ivan Eckl, Thomas Economou, Sophia Eidenbenz, Stephan Elmegreen, Bruce Fare, Clyde Faro, Ismael Fernández, Cristina Sanz Ferreira, Rodrigo Neumann Barros Fuji, Keisuke Fuller, Bryce Gagliardi, Laura Galli, Giulia Glick, Jennifer R. Gobbi, Isacco Gokhale, Pranav de la Puente Gonzalez, Salvador Greiner, Johannes Gropp, Bill Grossi, Michele Gull, Emanuel Healy, Burns Hermes, Matthew R. Huang, Benchen Humble, Travis S. Ito, Nobuyasu Izmaylov, Artur F. Javadi-Abhari, Ali Jennewein, Douglas Jha, Shantenu Jiang, Liang Jones, Barbara de Jong, Wibe Albert Jurcevic, Petar Kirby, William Kister, Stefan Kitagawa, Masahiro Klassen, Joel Klymko, Katherine Koh, Kwangwon Kondo, Masaaki Kürkçüoglu, Doga Murat Kurowski, Krzysztof Laino, Teodoro Landfield, Ryan Leininger, Matt Leyton-Ortega, Vicente Li, Ang Lin, Meifeng Liu, Junyu Lorente, Nicolas Luckow, Andre Martiel, Simon Martin-Fernandez, Francisco Martonosi, Margaret Marvinney, Claire Medina, Arcesio Castaneda Merten, Dirk Mezzacapo, Antonio Michielsen, Kristel Mitra, Abhishek Mittal, Tushar Moon, Kyungsun Moore, Joel Mostame, Sarah Motta, Mario Na, Young-Hye Nam, Yunseong Narang, Prineha Ohnishi, Yu-Ya Ottaviani, Daniele Otten, Matthew Pakin, Scott Pascuzzi, Vincent R. Pednault, Edwin Piontek, Tomasz Pitera, Jed Rall, Patrick Ravi, Gokul Subramanian Robertson, Niall Rossi, Matteo A.C. Rydlichowski, Piotr Ryu, Hoon Samsonidze, Georgy Sato, Mitsuhisa Saurabh, Nishant Sharma, Vidushi Sharma, Kunal Shin, Soyoung Slessman, George Steiner, Mathias Sitdikov, Iskandar Suh, In-Saeng Switzer, Eric D. Tang, Wei Thompson, Joel Todo, Synge Tran, Minh C. Trenev, Dimitar Trott, Christian Tseng, Huan-Hsin Tubman, Norm M. Tureci, Esin Valiñas, David García Vallecorsa, Sofia Wever, Christopher Wojciechowski, Konrad Wu, Xiaodi Yoo, Shinjae Yoshioka, Argonne National Laboratory LemontIL60439 United States Corporate Sector Research and Advance Engineering Robert Bosch GmbH Robert-Bosch-Campus 1 RenningenD-71272 Germany IBM Research RJ Rio de Janeiro20031-170 Brazil Centro Brasileiro de Pesquisas Físicas RJ Rio de Janeiro22290-180 Brazil CINECA via Magnanelli 6/3 BO Casalecchio di Reno40033 Italy Arizona State University TempeAZ United States National Energy Research Scientific Computing Center Lawrence Berkeley National Laboratory BerkeleyCA United States Euskadi Donostia-San Sebastián20018 Spain Ikerbasque Basque Foundation for Science Bilbao48009 Spain Department of Physics Yonsei University Seoul03722 Korea Republic of University of Chicago ChicagoIL United States IBM Quantum IBM T.J. Watson Research Center Yorktown Heights NY10598 United States Cambridge Consultants part of Capgemini Invent Cambridge United Kingdom Geneva1211 Switzerland Virginia Tech BlacksburgVA24061 United States Los Alamos National Laboratory Los AlamosNM87545 United States Osaka University Osaka560-8531 Japan Department of Chemistry Chicago Center for Theoretical Chemistry University of Chicago ChicagoIL United States Fraunhofer ITWM Rheinland-Pfalz Kaiserslautern67663 Germany Infleqtion ChicagoIL60622 United States University of Illinois Urbana-Champaign United States University of Michigan Ann ArborMI48109 United States Research Office Oak Ridge National Laboratory One Bethel Valley Road Oak RidgeTN37831 United States Hyogo Kobe650-0047 Japan Chemical Physics Theory Group Department of Chemistry University of Toronto TorontoONM5S 3H6 Canada Department of Physical and Environmental Sciences University of Toronto Scarborough TorontoONM1C 1A4 Canada Brookhaven National Laboratory UptonNY United States Rutgers University New BrunswickNJ United States IBM Quantum Almaden Research Center San JoseCA95120 United States Applied Mathematics and Computational Research Division

Computational models are an essential tool for the design, characterization, and discovery of novel materials. Computationally hard tasks in materials science stretch the limits of existing high-performance supercomputing centers, consuming much of their resources for simulation, analysis, and data processing. Quantum computing, on the other hand, is an emerging technology with the potential to accelerate many of the computational tasks needed for materials science. In order to do that, the quantum technology must interact with conventional high-performance computing in several ways: approximate results validation, identification of hard problems, and synergies in quantum-centric supercomputing. In this paper, we provide a perspective on how quantum-centric supercomputing can help address critical computational problems in materials science, the challenges to face in order to solve representative use cases, and new suggested directions. Copyright © 2023, The Authors. All rights reserved.

关键词： Characterization (materials science)

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The REDTOP experiment: Rare η/η' Decays to Probe New Physics.

arXiv

引用

arXiv 2022年

作者： Elam, J. Mane, A. Comfort, J. Mauskopf, P. McFarland, D. Thomas, L. Pedraza, I. Leon, D. Escobar, S. Herrera, D. Silverio, D. Abdallah, W. Winn, D. Spannowsky, M. Dey, J. Di Benedetto, V. Dobrescu, B. Fagan, D. Gianfelice-Wendt, E. Hahn, E. Jensen, D. Johnstone, C. Johnstone, J. Kilmer, J. Kobilarcik, T. Kronfeld, A. Krempetz, K. Los, S. May, M. Mazzacane, A. Mokhov, N. Pellico, W. Pla-Dalmau, A. Pronskikh, V. Ramberg, E. Rauch, J. Ristori, L. Schmidt, E. Sellberg, G. Tassotto, G. Tsai, Y.D. Alqahtani, A. Shi, J. Gandhi, R. Homiller, S. Chen, X. Hu, Q. Passemar, E. Sánchez-Puertas, P. Roy, S. Gatto, C. Baldini, W. Carosi, R. Kievsky, A. Viviani, M. Krzemien, W. Silarski, M. Zielinski, M. Guadagnoli, D. Alves, D.S.M. González-Solís, S. Pastore, S. Berlowski, M. Blazey, G. Dychkant, A. Francis, K. Syphers, M. Zutshi, V. Chintalapati, P. Malla, T. Figora, M. Fletcher, T. Ismail, A. Egaña-Ugrinovic, D. Kahn, Y. McKeen, D. Meade, P. Gutierrez, A. Hernandez-Ruiz, M.A. Escribano, R. Masjuan, P. Royo, E. Kubis, B. Jaeckel, J. Marcucci, L.E. Siligardi, C. Barbi, S. Mugoni, C. Guida, M. Charlebois, S. Pratte, J.F. Harland-Lang, L. Berryman, J.M. Gardner, R. Paschos, P. Konisberg, J. Mills, C. Ye, Z. Murray, M. Rogan, C. Royon, C. Minafra, N. Novikov, A. Gautier, F. Isidori, T. Mills, C. Ye, Z. Gardner, S. Yan, X. Onel, Y. Pospelov, M. Batell, B. Freitas, A. Rai, M. Gao, D.N. Maamari, K. Kupsc, A. Fabela-Enriquez, B. Petrov, A. Tulin, S. Argonne National Laboratory United States Arizona State University United States Benemerita Universidad Autonoma de Puebla Mexico Department of Mathematics Faculty of Science Cairo University Giza Egypt Fairfield University United States Durham University United Kingdom Fermi National Accelerator Laboratory United States Georgetown University United States Guangdong Provincial Key Laboratory of Nuclear Science Institute of Quantum Matter South China Normal University Guangzhou510006 China Guangdong-Hong Kong Joint Laboratory of Quantum Matter Southern Nuclear Science Computing Center South China Normal University Guangzhou510006 China Harish-Chandra Research Institute HBNI Jhunsi India Harvard University CambridgeMA United States Institute of Modern Physics Chinese Academy of Sciences Lanzhou China Indiana University United States Institut de Física d'Altes Energies-Barcelona Spain Institute of Physics Sachivalaya Marg Sainik School Post Bhubaneswar India Istituto Nazionale di Fisica Nucleare-Sezione di Napoli Italy Northern Illinois University United States Istituto Nazionale di Fisica Nucleare-Sezione di Ferrara Italy Istituto Nazionale di Fisica Nucleare-Sezione di Pisa Italy Institute of Physics Jagiellonian University Krakow30-348 Poland Laboratoire d'Annecy-le-Vieux de Physique Théorique France Los Alamos National Laboratory United States National Centre for Nuclear Research Warsaw Poland Oklahoma State University United States Perimeter Institute for Theoretical Physics Waterloo Canada Princeton University Princeton United States TRIUMF Canada Stony Brook University New York United States Universidad Autonoma de Zacatecas Mexico Universitat Autónoma de Barcelona Spain Bethe Center for Theoretical Physics Germany Universität Heidelberg Germany Universita' di Pisa and INFN Italy Universita' di Modena e Reggio Emilia Italy Universita' di Salerno and INFN-Sezione di Napoli Italy Université de Sherbrooke Canada University of Oxford United Kingdo

The η and η' mesons are nearly unique in the particle universe since they are almost Goldstone bosons and the dynamics of their decays are strongly constrained. The integrated η-meson samples collected in earlier experiments amount to ∼ 109events. A new experiment, REDTOP (Rare Eta Decays To Observe Physics Beyond the Standard Model), is being proposed, with the intent of collecting a data sample of order 1014η (1012η') for studying very rare decays. Such statistics are sufficient for investigating several symmetry violations, and for searching for particles and fields beyond the Standard Model. In this work we present several studies evaluating REDTOP sensitivity to processes that couple the Standard Model to New Physics through all four of the so-called portals: the Vector, the Scalar, the Axion and the Heavy Lepton portal. The sensitivity of the experiment is also adequate for probing several conservation laws, in particular CP, T and Lepton Universality, and for the determination of the η form factors, which is crucial for the interpretation of the recent measurement of muon g-2. © 2022, CC BY.

关键词： Bosons

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Electric-magnetic duality in the quantum double models of topological orders with gapped boundaries

arXiv

引用

arXiv 2019年

作者： Wang, Hongyu Li, Yingcheng Hu, Yuting Wan, Yidun State Key Laboratory of Surface Physics Fudan University Shanghai200433 China Department of Physics Center for Field Theory and Particle Physics Institute for Nanoelectronic devices and Quantum computing Fudan University Shanghai200433 China Department of Physics and Institute for Quantum Science and Engineering South University of Science and Technology Shenzhen518055 China CAS Key Laboratory of Microscale Magnetic Resonance Department of Modern Physics University of Science and Technology of China Hefei Anhui230026 China

We generalize the Electric-magnetic (EM) duality in the quantum double (QD) models to the case of topological orders with gapped boundaries. We also map the QD models with boundaries to the Levin-Wen (LW) models with boundaries. To this end, we Fourier transform and rewrite the extended QD model with a finite gauge group G on a trivalent lattice with a boundary. Gapped boundary conditions of the model before the transformation are known to be characterized by the subgroups K ⊆ G. We find that after the transformation, the boundary conditions are then characterized by the Frobenius algebras AG,K in RepG. An AG,K is the dual space of the quotient of the group algebra of G over that of K, and RepG is the category of the representations of G. The EM duality on the boundary is revealed by mapping the K’s to AG,K’s. We also show that our transformed extended QD model can be mapped to an extended LW model on the same lattice via enlarging the Hilbert space of the extended LW model. Moreover, our transformed extended QD model elucidates the phenomenon of anyon splitting in anyon condensation. Copyright © 2019, The Authors. All rights reserved.

关键词： Boundary conditions

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General framework for verifying pure quantum states in the adversarial scenario

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Physical Review A 2019年第6期100卷 062335-062335页

作者： Huangjun Zhu Masahito Hayashi Department of Physics and Center for Field Theory and Particle Physics Fudan University Shanghai 200433 China State Key Laboratory of Surface Physics Fudan University Shanghai 200433 China Institute for Nanoelectronic Devices and Quantum Computing Fudan University Shanghai 200433 China Collaborative Innovation Center of Advanced Microstructures Nanjing 210093 China Graduate School of Mathematics Nagoya University Nagoya 464-8602 Japan Shenzhen Institute for Quantum Science and Engineering Southern University of Science and Technology Shenzhen 518055 China Center for Quantum Computing Peng Cheng Laboratory Shenzhen 518000 China Centre for Quantum Technologies National University of Singapore 3 Science Drive 2 117542 Singapore

Bipartite and multipartite entangled states are of central interest in quantum information processing and foundational studies. Efficient verification of these states, especially in the adversarial scenario, is a key to various applications, including quantum computation, quantum simulation, and quantum networks. However, little is known about this topic in the adversarial scenario. Here we initiate a systematic study of pure-state verification in the adversarial scenario. In particular, we introduce a general method for determining the minimal number of tests required by a given strategy to achieve a given precision. In the case of homogeneous strategies, we can even derive an analytical formula. Furthermore, we propose a general recipe to verifying pure quantum states in the adversarial scenario by virtue of protocols for the nonadversarial scenario. Thanks to this recipe, the resource cost for verifying an arbitrary pure state in the adversarial scenario is comparable to the counterpart for the nonadversarial scenario, and the overhead is at most three times for high-precision verification. Our recipe can readily be applied to efficiently verify bipartite pure states, stabilizer states, hypergraph states, weighted graph states, and Dicke states in the adversarial scenario, even if only local projective measurements are accessible. This paper is an extended version of the companion paper Zhu and Hayashi, Phys. Rev. Lett. 123, 260504 (2019).

关键词： Quantum entanglement Quantum tomography

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