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arXiv 2020年

作者： Jnane, Hamza Sawaya, Nicolas P.D. Peropadre, Borja Aspuru-Guzik, Alan Garcia-Patron, Raul Huh, Joonsuk Télécom Paris LTCI 19 Place Marguerite Perey Palaiseau91120 France Intel Laboratories Santa ClaraCA95054 United States Zapata Computing Inc 100 Federal St BostonMA02110 United States Department of Computer Science University of Toronto TorontoONM5S 2E4 Canada Department of Chemistry University of Toronto TorontoONM5G 1Z8 Canada Vector Institute for Artificial Intelligence TorontoONM5S 1M1 Canada Canadian Institute for Advanced Research TorontoONM5G 1Z8 Canada School of Informatics University of Edinburgh EdinburghEH8 9AB United Kingdom Department of Chemistry Sungkyunkwan University Suwon16419 Korea Republic of SKKU Advanced Institute of Nanotechnology Sungkyunkwan University Suwon16419 Korea Republic of Institute of Quantum Biophysics Sungkyunkwan University Suwon16419 Korea Republic of

In this work, we present a linear optical implementation for analog quantum simulation of molecular vibronic spectra, incorporating the non-Condon scattering operation with a quadratically small truncation error. Thus far, analog and digital quantum algorithms for achieving quantum speedup have been suggested only in the Condon regime, which refers to a transition dipole moment that is independent of nuclear coordinates. For analog quantum optical simulation beyond the Condon regime (i.e., non-Condon transitions) the resulting non-unitary scattering operations must be handled appropriately in a linear optical network. In this paper, we consider the first and second-order Herzberg-Teller expansions of the transition dipole moment operator for the non-Condon effect, for implementation on linear optical quantum hardware. We believe the method opens a new way to approximate arbitrary non-unitary operations in analog and digital quantum simulations. We report in-silico simulations of the vibronic spectra for naphthalene, phenanthrene, and benzene to support our findings. © 2020, CC-BY.

关键词： quantum chemistry

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Tangible reduction in learning sample complexity with large classical samples and small quantum system

arXiv

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arXiv 2019年

作者： Song, Wooyeong Wieśniak, Marcin Liu, Nana Pawlowski, Marcin Lee, Jinhyoung Kim, Jaewan Bang, Jeongho Department of Physics Hanyang University Seoul04763 Korea Republic of Seoul02792 Korea Republic of Institute of Theoretical Physics and Astrophysics Faculty of Mathematics Physics and Informatics University of Gdańsk Gdańsk80-308 Poland International Centre for Theory of Quantum Technologies University of Gdańsk Gdańsk80-308 Poland Institute of Natural Science Shanghai Jiao Tong University Shanghai200240 China Ministry of Education Key Laboratory in Scientific and Engineering Computing Shanghai Jiao Tong University Shanghai200240 China University of Michigan-Shanghai Jiao Tong University Joint Institute Shanghai200240 China School of Computational Sciences Korea Institute for Advanced Study Seoul02455 Korea Republic of Electronics and Telecommunications Research Institute Daejeon34129 Korea Republic of

quantum computation requires large classical datasets to be embedded into quantum states in order to exploit quantum parallelism. However, this embedding requires considerable resources in general. It would therefore be desirable to avoid it, if possible, for noisy intermediate-scale quantum (NISQ) implementation. Accordingly, we consider a classical-quantum hybrid architecture, which allows large classical input data, with a relatively small-scale quantum system. This hybrid architecture is used to implement a sampling oracle. It is shown that in the presence of noise in the hybrid oracle, the effects of internal noise can cancel each other out and thereby improve the query success rate. It is also shown that such an immunity of the hybrid oracle to noise directly and tangibly reduces the sample complexity in the framework of computational learning theory. This NISQ-compatible learning advantage is attributed to the oracle’s ability to handle large input features. Copyright © 2019, The Authors. All rights reserved.

关键词： quantum optics

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Distinguishing unitary gates on the IBM quantum processor

arXiv

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arXiv 2018年

作者： Liu, Shusen Li, Yinan Duan, Runyao School of Data and Computer Science Sun Yat-sen University Guangzhou Guangdong510006 China Centre for Quantum Software and Information Faculty of Engineering and Information Technology University of Technology SydneyNSW2007 Australia Centrum Wiskunde & Informatica and Research Center for Quantum Software Netherlands Institute for Quantum Computing Baidu Inc. Beijing100193 China

An unknown unitary gates, which is secretly chosen from several known ones, can always be distinguished perfectly. In this paper, we implement such a task on IBM's quantum processor. More precisely, we experimentally demonstrate the discrimination of two qubit unitary gates, the identity gate and the 2/3π-phase shift gate, using two discrimination schemes - the parallel scheme and the sequential scheme. We program these two schemes on the ibmqx4, a 5-qubit superconducting quantum processor via IBM cloud, with the help of the QSI modules [S. Liu et al., arXiv:1710.09500, 2017]. We report that both discrimination schemes achieve success probabilities at least 85%. Copyright © 2018, The Authors. All rights reserved.

关键词： Program processors

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Separability-entanglement classifier via machine learning

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Physical Review A 2018年第1期98卷 012315-012315页

作者： Sirui Lu Shilin Huang Keren Li Jun Li Jianxin Chen Dawei Lu Zhengfeng Ji Yi Shen Duanlu Zhou Bei Zeng Department of Physics Tsinghua University Beijing 100084 China Institute for Quantum Computing University of Waterloo Waterloo Ontario Canada N2L 3G1 Institute for Interdisciplinary Information Sciences Tsinghua University Beijing 100084 China Institute for Quantum Science and Engineering and Department of Physics Southern University of Science and Technology Shenzhen 518055 China Department of Mathematics & Statistics University of Guelph Guelph Ontario Canada N1G 2W1 Joint Center for Quantum Information and Computer Science University of Maryland College Park Maryland 20742 USA Centre for Quantum Software and Information School of Software Faculty of Engineering and Information Technology University of Technology Sydney Sydney Australia State Key Laboratory of Computer Science Institute of Software Chinese Academy of Sciences Beijing China Department of Statistics and Actuarial Science University of Waterloo Waterloo Ontario Canada N2L 3G1 Institute of Physics Chinese Academy of Sciences Beijing 100190 China

The problem of determining whether a given quantum state is entangled lies at the heart of quantum information processing. Despite the many methods—such as the positive partial transpose criterion and the k-symmetric extendibility criterion—to tackle this problem, none of them enables a general, practical solution due to the problem's NP-hard complexity. Explicitly, separable states form a high-dimensional convex set of vastly complicated structures. In this work, we build a different separability-entanglement classifier underpinned by machine learning techniques. We use standard tools from machine learning to learn the entanglement feature of arbitrary given quantum states. We perform substantial numerical tests on two-qubit and two-qutrit systems, and the results indicate that our method can outperform the existing methods in generic cases in terms of both speed and accuracy. This opens up avenues to explore quantum entanglement via the machine learning approach.

关键词： Machine learning quantum entanglement

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Lattice QCD and Particle Physics

arXiv

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arXiv 2022年

作者： Kronfeld, Andreas S. Bhattacharya, Tanmoy Blum, Thomas Christ, Norman H. DeTar, Carleton Detmold, William Edwards, Robert Hasenfratz, Anna Lin, Huey-Wen Mukherjee, Swagato Orginos, Konstantinos Brower, Richard Cirigliano, Vincenzo Davoudi, Zohreh Jóo, Bálint Jung, Chulwoo Lehner, Christoph Meinel, Stefan Neil, Ethan T. Petreczky, Peter Richards, David G. Bazavov, Alexei Catterall, Simon Dudek, Jozef J. El-Khadra, Aida X. Engelhardt, Michael Fleming, George T. Giedt, Joel Gupta, Rajan Hansen, Maxwell T. Izubuchi, Taku Karsch, Frithjof Laiho, Jack Liu, Keh-Fei Meyer, Aaron S. Rinaldi, Enrico Savage, Martin Schaich, David Shanahan, Phiala E. Sharpe, Stephen R. Sufian, Raza Syritsyn, Sergey Van de Water, Ruth S. Wagman, Michael L. Weinberg, Evan Witzel, Oliver Aubin, Christopher Boyle, Peter Chandrasekharan, Shailesh Cloët, Ian C. Constantinou, Martha Cushman, Kimmy DeGrand, Thomas Fodor, Zoltan Foreman, Sam Gottlieb, Steven Hoying, Daniel Jang, Yong-Chull Jay, William I. Jin, Xiao-Yong Kelly, Christopher Kuti, Julius Lamm, Henry Lin, Meifeng Lin, Yin Lytle, Andrew T. Mackenzie, Paul Mandula, Jeffrey Meurice, Yannick Monahan, Christopher Morningstar, Colin Osborn, James C. Park, Sungwoo Simone, James N. Strelchenko, Alexei Tomii, Masaaki Vaquero, Alejandro Vranas, Pavlos Wang, Bigeng Wilcox, Walter Yoon, Boram Zhao, Yong Theory Division Fermi National Accelerator Laboratory BataviaIL60510 United States Group T-2 Los Alamos National Laboratory Los AlamosNM87545 United States Department of Physics University of Connecticut StorrsCT06269 United States RIKEN BNL Research Center Brookhaven National Laboratory UptonNY11973 United States Department of Physics Columbia University New YorkNY10027 United States Department of Physics and Astronomy University of Utah Salt Lake CityUT84112 United States Center for Theoretical Physics Massachusetts Institute of Technology CambridgeMA02139 United States The NSF Institute for Artificial Intelligence and Fundamental Interactions Theory Center Thomas Jefferson National Accelerator Facility Newport NewsVA23606 United States Department of Physics University of Colorado BoulderCO80309 United States Department of Physics and Astronomy Michigan State University East LansingMI48824 United States Physics Department Brookhaven National Laboratory UptonNY11973 United States Department of Physics College of William & Mary WilliamsburgVA23187 United States Department of Physics Center for Computational Science Boston University BostonMA02215 United States Institute of Nuclear Theory University of Washington SeattleWA98195 United States Department of Physics Maryland Center for Fundamental Physics University of Maryland College ParkMD20742 United States Oak Ridge Leadership Computing Facility Oak Ridge National Laboratory Oak RidgeTN37831 United States Fakultät für Physik Universität Regensburg RegensburgD-93040 Germany Department of Physics University of Arizona TucsonAZ85721 United States Department of Computational Mathematics Science and Engineering Michigan State University East LansingMI48824 United States Department of Physics Syracuse University SyracuseNY13244 United States Department of Physics University of Illinois Urbana-Champaign UrbanaIL61801 United States Department of Physics New Mexic

Lattice field theory provides a mathematically rigorous definition of quantum field theory, including gauge theories. The rigor provides a platform for computation of strongly-coupled gauge theories, not only quantum chromodynamics (QCD) at long-distances but also strongly-coupled sectors that might lie beyond the Standard Model (BSM) of particle physics. Indeed, the interpretation of many experiments in particle physics, nuclear physics, and astrophysics relies, often crucially, on results from lattice QCD or BSM. In quark-flavor physics, lattice QCD is essential for grounding theoretical predictions. Together with experimental measurements, lattice QCD is used to determine many of the fundamental parameters of the Standard Model's flavor sector: five out of six quark masses and the three mixing angles and CP-violating phase of the Cabibbo-Kobayashi-Maskawa (CKM) matrix. Further Standard-Model predictions requiring lattice QCD are for processes that could reveal signatures of new physics. This area of lattice QCD has become a precision science, as has the determination of the strong coupling, αs, which is key in many areas, for example for understanding Higgs-boson decay to gluons. Lattice-QCD calculations of the hadronic contributions to the anomalous magnetic moment of the muon are another area for which precision is both mandatory and achievable. While these contributions can be estimated via a combination of certain measurements and general theoretical concepts, a direct ab initio calculation from QCD is desirable to confirm robustly the tantalizingly large discrepancy between experiment and the Standard Model. Other indirect searches for new physics are complementary to quark-flavor physics and the muon anomalous magnetic moment. Lattice QCD is an essential tool for understanding newly discovered hadrons with quark content different from the usual baryons and mesons. Lattice-QCD calculations are needed to interpret bounds on electric dipole moments, proton dec

关键词： Calculations

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Gapped boundary theory of the twisted gauge theory model of three-dimensional topological orders

arXiv

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arXiv 2018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 Fudan University Shanghai200433 China Department of Physics and Institute for Quantum Science and Engineering Southern University of Science and Technology Shenzhen518055 China Institute for Nanoelectronic devices and Quantum computing Fudan University Shanghai200433 China Collaborative Innovation Center of Advanced Microstructures Nanjing210093 China

We extend the twisted gauge theory model of topological orders in three spatial dimensions to the case where the three spaces have two dimensional boundaries. We achieve this by systematically constructing the boundary Hamiltonians that are compatible with the bulk Hamoltonian. Given the bulk Hamiltonian defined by a gauge group G and a four-cocycle ω in the fourth cohomology group of G over U(1), a boundary Hamiltonian can be defined by a subgroup K of G and a three-cochain α in the third cochain group of K over U(1). The boundary Hamiltonian to be constructed must be gapped and invariant under the topological renormalization group flow (via Pachner moves), leading to a generalized Frobenius condition. Given K, a solution to the generalized Frobenius condition specifies a gapped boundary condition. We derive a closed-form formula of the ground state degeneracy of the model on a three-cylinder, which can be naturally generalized to three-spaces with more boundaries. We also derive the explicit ground-state wavefunction of the model on a three-ball. The ground state degeneracy and ground-state wavefunction are both presented solely in terms of the input data of the model, namely, {G, ω, K, α}. Copyright © 2018, The Authors. All rights reserved.

关键词： Hamiltonians

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Anyonic exclusions statistics on surfaces with gapped boundaries

arXiv

引用

arXiv 2018年

作者： Li, Yingcheng Wang, Hongyu Hu, Yuting Wan, Yidun State Key Laboratory of Surface Physics Fudan University Shanghai200433 China Department of Physics Center for Field Theory and Particle Physics Fudan University Shanghai200433 China Institute for Nanoelectronic devices and Quantum computing Fudan University Shanghai200433 China Department of Physics Institute for Quantum Science and Engineering Southern University of Science and Technology Shenzhen518055 China Collaborative Innovation Center of Advanced Microstructures Nanjing210093 China

An anyonic exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane[1]. When fusion of anyons is involved, certain 'pseudo-species' anyons appear in the exotic statistical weights of non-Abelian anyon systems;however, the meaning and significance of pseudospecies remains an open problem. The relevant past studies had considered only anyon systems without any physical boundary but boundaries often appear in real-life materials. In this paper, we propose an extended anyonic exclusion statistics on surfaces with gapped boundaries, introducing mutual exclusion statistics between anyons as well as the boundary components. Motivated by Refs. [2, 3], we present a formula for the statistical weight of many-anyon states obeying the proposed statistics. Taking the (doubled) Fibonacci topological order as an example, we develop a systematic basis construction for non-Abelian anyons on any Riemann surfaces with gapped boundaries. The basis construction offers a standard way to read off a canonical set of statistics parameters and hence write down the extended statistical weight of the anyon system being studied. The basis construction reveals the meaning of pseudo-species. A pseudo-species has different 'excitation' modes, each corresponding to an anyon species. The 'excitation' modes of pseudo-species corresponds to good quantum numbers of subsystems of a non-Abelian anyon system. This is important because often (e.g., in topological quantum computing) we may be concerned about only the entanglement between such subsystems. Copyright © 2018, The Authors. All rights reserved.

关键词： Statistics

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Attacking quantum key distribution by light injection via ventilation openings

arXiv

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arXiv 2019年

作者： Garcia-Escartin, Juan Carlos Sajeed, Shihan Makarov, Vadim Dpto. Teoriá de la Senãl y Comunicaciones e Ing. Telemática Universidad de Valladolid Paseo Belén 15 Valladolid47011 Spain Institute for Quantum Computing University of Waterloo Waterloo N2L 3G1ON Canada Department of Electrical and Computer Engineering University of Waterloo Waterloo N2L 3G1ON Canada Department of Physics and Astronomy University of Waterloo Waterloo N2L 3G1ON Canada Department of Electrical and Computer Engineering University of Toronto M5S 3G4 Canada Russian Quantum Center Skolkovo Moscow143025 Russia National Laboratory for Physical Sciences Shanghai Branch University of Science and Technology of China Shanghai201315 China Nti Center for Quantum Communications National University of Science and Technology MISiS Moscow119049 Russia

quantum cryptography promises security based on the laws of physics with proofs of security against attackers of unlimited computational power. However, deviations from the original assumptions allow quantum hackers to compromise the system. We present a side channel attack that takes advantage of ventilation holes in optical devices to inject additional photons that can leak information about the secret key. We experimentally demonstrate light injection on an ID Quantique Clavis2 quantum key distribution platform and show that this may help an attacker to learn information about the secret key. We then apply the same technique to a prototype quantum random number generator and show that its output is biased by injected light. This shows that light injection is a potential security risk that should be addressed during the design of quantum information processing devices. Copyright © 2019, The Authors. All rights reserved.

关键词： quantum cryptography

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Entanglement entropy of topological orders with boundaries

arXiv

引用

arXiv 2018年

作者： Chen, Chaoyi Hung, Ling-Yan Li, Yingcheng Wan, Yidun State Key Laboratory of Surface Physics Fudan University Shanghai200433 China Collaborative Innovation Center of Advanced Microstructures Nanjing210093 China Department of Physics Center for Field Theory and Particle Physics Fudan University Shanghai200433 China Institute for Nanoelectronic devices and Quantum computing Fudan University Shanghai200433 China Department of Physics Institute for Quantum Science and Engineering Southern University of Science and Technology Shenzhen518055 China

In this paper we explore how non trivial boundary conditions could inuence the entanglement entropy in a topological order in 2+1 dimensions. Specifically we consider the special class of topological orders describable by the quantum double. We will find very interesting dependence of the entanglement entropy on the boundary conditions particularly when the system is non-Abelian. Along the way, we demonstrate a streamlined procedure to compute the entanglement entropy, which is particularly effcient when dealing with systems with boundaries. We also show how this method effciently reproduces all the known results in the presence of anyonic excitations. Copyright © 2018, The Authors. All rights reserved.

关键词： Boundary conditions

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Evolution of interlayer and intralayer magnetism in three atomically thin chromium trihalides

arXiv

引用

arXiv 2019年

作者： Kim, Hyun Ho Yang, Bowen Li, Siwen Jiang, Shengwei Jin, Chenhao Tao, Zui Nichols, George Sfigakis, Francois Zhong, Shazhou Li, Chenghe Tian, Shangjie Cory, David G. Miao, Guo-Xing Shan, Jie Mak, Kin Fai Lei, Hechang Sun, Kai Zhao, Liuyan Tsen, Adam W. Institute for Quantum Computing Department of Chemistry Department of Physics and Astronomy Department of Electrical and Computer Engineering University of Waterloo WaterlooONN2L 3G1 Canada Department of Physics University of Michigan 450 Church Street Ann ArborMI48109 United States School of Applied and Engineering Physics Department of Physics Kavli Institute at Cornell for Nanoscale Science IthacaNY14853 United States Department of Physics Beijing Key Laboratory of Opto-electronic Functional Materials & Micro-Nano Devices Renmin University of China Beijing100872 China

We conduct a comprehensive study of three different magnetic semiconductors, CrI3, CrBr3, and CrCl3, by incorporating both few- and bi-layer samples in van der Waals tunnel junctions. We find that the interlayer magnetic ordering, exchange gap, magnetic anisotropy, as well as magnon excitations evolve systematically with changing halogen atom. By fitting to a spin wave theory that accounts for nearest neighbor exchange interactions, we are able to further determine a simple spin Hamiltonian describing all three systems. These results extend the 2D magnetism platform to Ising, Heisenberg, and XY spin classes in a single material family. Using magneto-optical measurements, we additionally demonstrate that ferromagnetism can be stabilized down to monolayer in more isotropic CrBr3, with transition temperature still close to that of the bulk. Copyright © 2019, The Authors. All rights reserved.

关键词： Van der Waals forces

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