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Selected topics of quantum computing for nuclear physics 被引量:1
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作者 Dan-Bo Zhang Hongxi Xing +2 位作者 Hui Yan Enke Wang Shi-Liang Zhu 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第2期23-34,共12页
Nuclear physics,whose underling theory is described by quantum gauge field coupled with matter,is fundamentally important and yet is formidably challenge for simulation with classical computers.Quantum computing provi... Nuclear physics,whose underling theory is described by quantum gauge field coupled with matter,is fundamentally important and yet is formidably challenge for simulation with classical computers.Quantum computing provides a perhaps transformative approach for studying and understanding nuclear physics.With rapid scaling-up of quantum processors as well as advances on quantum algorithms,the digital quantum simulation approach for simulating quantum gauge fields and nuclear physics has gained lots of attention.In this review,we aim to summarize recent efforts on solving nuclear physics with quantum computers.We first discuss a formulation of nuclear physics in the language of quantum computing.In particular,we review how quantum gauge fields(both Abelian and non-Abelian)and their coupling to matter field can be mapped and studied on a quantum computer.We then introduce related quantum algorithms for solving static properties and real-time evolution for quantum systems,and show their applications for a broad range of problems in nuclear physics,including simulation of lattice gauge field,solving nucleon and nuclear structures,quantum advantage for simulating scattering in quantum field theory,non-equilibrium dynamics,and so on.Finally,a short outlook on future work is given. 展开更多
关键词 quantum computing nuclear physics quantum field theory quantum simulation quantum algorithm
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Variational Quantum Algorithm for Solving the Liouvillian Gap
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作者 Xu-Dan Xie Zheng-Yuan Xue Dan-Bo Zhang 《Chinese Physics Letters》 2025年第8期121-128,共8页
In open quantum systems,the Liouvillian gap characterizes the relaxation time toward the steady state.However,accurately computing this quantity is notoriously difficult due to the exponential growth of the Hilbert sp... In open quantum systems,the Liouvillian gap characterizes the relaxation time toward the steady state.However,accurately computing this quantity is notoriously difficult due to the exponential growth of the Hilbert space and the non-Hermitian nature of the Liouvillian superoperator.In this work,we propose a variational quantum algorithm for efficiently estimating the Liouvillian gap.By utilizing the Choi-Jamio lkowski isomorphism,we reformulate the problem as finding the first excitation energy of an effective non-Hermitian Hamiltonian.Our method employs variance minimization with an orthogonality constraint to locate the first excited state and adopts a two-stage optimization scheme to enhance convergence.Moreover,to address scenarios with degenerate steady states,we introduce an iterative energy-offset scanning technique.Numerical simulations on the dissipative XXZ model confirm the accuracy and robustness of our algorithm across a range of system sizes and dissipation strengths.These results demonstrate the promise of variational quantum algorithms for simulating open quantum many-body systems on near-term quantum hardware. 展开更多
关键词 open quantum systems liouvillian gap relaxation time toward steady statehoweveraccurately hilbert space choi jamio lokia isomorphism finding first excitation energy variational quantum algorithm
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Nucleation control for the growth of two-dimensional single crystals
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作者 Jinxia Bai Chi Zhang +3 位作者 Fankai Zeng Jinzong Kou Jinhuan Wang Xiaozhi Xu 《Journal of Semiconductors》 2025年第9期10-18,共9页
The unique structure and exceptional properties of two-dimensional(2D)materials offer significant potential for transformative advancements in semiconductor industry.Similar to the reliance on wafer-scale single-cryst... The unique structure and exceptional properties of two-dimensional(2D)materials offer significant potential for transformative advancements in semiconductor industry.Similar to the reliance on wafer-scale single-crystal ingots for silicon-based chips,practical applications of 2D materials at the chip level need large-scale,high-quality production of 2D single crystals.Over the past two decades,the size of 2D single-crystals has been improved to wafer or meter scale,where the nucleation control during the growth process is particularly important.Therefore,it is essential to conduct a comprehensive review of nucleation control to gain fundamental insights into the growth of 2D single-crystal materials.This review mainly focuses on two aspects:controlling nucleation density to enable the growth from a single nucleus,and controlling nucleation position to achieve the unidirectionally aligned islands and subsequent seamless stitching.Finally,we provide an overview and forecast of the strategic pathways for emerging 2D materials. 展开更多
关键词 2D materials single crystals nucleation density nucleation position
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Exact quantum dynamics for two-level systems with time-dependent driving
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作者 Zhi-Cheng He Yi-Xuan Wu Zheng-Yuan Xue 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第12期79-85,共7页
It is well known that the time-dependent Schrrödinger equation can only be solved exactly in very rare cases,even for two-level quantum systems.Thus,finding the exact quantum dynamics under a time-dependent Hamil... It is well known that the time-dependent Schrrödinger equation can only be solved exactly in very rare cases,even for two-level quantum systems.Thus,finding the exact quantum dynamics under a time-dependent Hamiltonian is not only fundamentally important in quantum physics but also facilitates active quantum manipulations for quantum information processing.In this work,we present a method for generating nearly infinite analytically assisted solutions to the Schrödinger equation for a qubit under time-dependent driving.These analytically assisted solutions feature free parameters with only boundary restrictions,making them applicable in a variety of precise quantum manipulations.Due to the general form of the time-dependent Hamiltonian in our approach,it can be readily implemented in various experimental setups involving qubits.Consequently,our scheme offers new solutions to the Schrödinger equation,providing an alternative analytical framework for precise control over qubits. 展开更多
关键词 quantum computation quantum control analytical solution
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Simulation of optimal work extraction for quantum systems with work storage
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作者 宋鹏飞 张旦波 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第2期195-203,共9页
The capacity to extract work from a quantum heat machine is not only of practical value but also lies at the heart of understanding quantum thermodynamics.In this paper,we investigate optimal work extraction for quant... The capacity to extract work from a quantum heat machine is not only of practical value but also lies at the heart of understanding quantum thermodynamics.In this paper,we investigate optimal work extraction for quantum systems with work storage,where extracting work is completed by a unitary evolution on the composite system.We consider the physical requirement of energy conservation both strictly and on average.For both,we construct their corresponding unitaries and propose variational quantum algorithms for optimal work extraction.We show that maximal work extraction in general can be feasible when energy conservation is satisfied on average.We demonstrate with numeral simulations using a continuous-variable work storage.Our work show an implementation of a variational quantum computing approach for simulating work extraction in quantum systems. 展开更多
关键词 quantum algorithm quantum thermodyanmics
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Experimental Proposal on Non-Abelian Aharonov-Bohm Caging Effect with a Single Trapped Ion
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作者 Zhiyuan Liu Wanchao Yao +4 位作者 Sai Li Yi Li Yue Li Zheng-Yuan Xue Yiheng Lin 《Chinese Physics Letters》 2025年第6期9-18,共10页
In the lattice system,when the synthetic flux reaches aπphase along a closed loop under the synthetic gauge field,destructive interference occurs and gives rise to the localization phenomenon.This is known as the Aha... In the lattice system,when the synthetic flux reaches aπphase along a closed loop under the synthetic gauge field,destructive interference occurs and gives rise to the localization phenomenon.This is known as the Aharonov-Bohm(AB)caging effect.It provides a powerful tool for the study of quantum transport and dynamical effects.In the system where lattice sites possess internal structure and the underlying gauge field is non-Abelian,localization can also occur,forming the non-Abelian AB caging.Here,we propose an experimental scheme to synthesize non-Abelian gauge fields with a single trapped ion by coupling multiple internal levels and Fock states in its motion via laser fields.In contrast to the Abelian AB caging,we numerically observe that the non-Abelian AB caging occurs either when the interference matrix is nilpotent,or when the initial state is specifically set.Our experimental scheme broadens the study of localization phenomena and provides a novel tool for the study of non-Abelian physics. 展开更多
关键词 synthetic flux quantum transport dynamical effectsin localization Aharonov Bohm caging effect gauge field lattice sites trapped ion non abelian gauge fields
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Variational quantum eigensolvers by variance minimization 被引量:2
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作者 Dan-Bo Zhang Bin-Lin Chen +1 位作者 Zhan-Hao Yuan Tao Yin 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第12期41-48,共8页
The original variational quantum eigensolver(VQE)typically minimizes energy with hybrid quantum-classical optimization that aims to find the ground state.Here,we propose a VQE based on minimizing energy variance and c... The original variational quantum eigensolver(VQE)typically minimizes energy with hybrid quantum-classical optimization that aims to find the ground state.Here,we propose a VQE based on minimizing energy variance and call it the variance-VQE,which treats the ground state and excited states on the same footing,since an arbitrary eigenstate for a Hamiltonian should have zero energy variance.We demonstrate the properties of the variance-VQE for solving a set of excited states in quantum chemistry problems.Remarkably,we show that optimization of a combination of energy and variance may be more efficient to find low-energy excited states than those of minimizing energy or variance alone.We further reveal that the optimization can be boosted with stochastic gradient descent by Hamiltonian sampling,which uses only a few terms of the Hamiltonian and thus significantly reduces the quantum resource for evaluating variance and its gradients. 展开更多
关键词 quantum computing quantum algorithm quantum chemistry
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Variational Quantum Eigensolver with Mutual Variance-Hamiltonian Optimization 被引量:1
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作者 陈彬琳 张旦波 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第1期9-13,共5页
The zero-energy variance principle can be exploited in variational quantum eigensolvers for solving general eigenstates but its capacity for obtaining a specified eigenstate,such as ground state,is limited as all eige... The zero-energy variance principle can be exploited in variational quantum eigensolvers for solving general eigenstates but its capacity for obtaining a specified eigenstate,such as ground state,is limited as all eigenstates are of zero energy variance.We propose a variance-based variational quantum eigensolver for solving the ground state by searching in an enlarged space of wavefunction and Hamiltonian.With a mutual variance-Hamiltonian optimization procedure,the Hamiltonian is iteratively updated to guild the state towards to the ground state of the target Hamiltonian by minimizing the energy variance in each iteration.We demonstrate the performance and properties of the algorithm with numeral simulations.Our work suggests an avenue for utilizing guided Hamiltonian in hybrid quantum-classical algorithms. 展开更多
关键词 HAMILTONIAN variance QUANTUM
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Spin-polarized pairing induced by the magnetic field in the Bernal bilayer graphene
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作者 黄妍 周涛 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第4期650-654,共5页
Recent experimental findings have demonstrated the occurrence of superconductivity in Bernal bilayer graphene when induced by a magnetic field.In this study,we conduct a theoretical investigation of the potential pair... Recent experimental findings have demonstrated the occurrence of superconductivity in Bernal bilayer graphene when induced by a magnetic field.In this study,we conduct a theoretical investigation of the potential pairing symmetry within this superconducting system.By developing a theoretical model,we primarily calculate the free energy of the system with p+ip-wave parallel spin pairing,p+ip-wave anti-parallel spin pairing and d+i d-wave pairing symmetry.Our results confirm that the magnetic field is indeed essential for generating the superconductivity.We discover that the p+ip-wave parallel spin pairing leads to a lower free energy for the system.The numerical calculations of the energy band structure,zero-energy spectral function and density of states for each of the three pairing symmetries under consideration show a strong consistency with the free energy results. 展开更多
关键词 SUPERCONDUCTIVITY magnetic field induction pairing symmetry Bernal bilayer graphene
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Unravelling biotoxicity of graphdiyne:Molecular dynamics simulation of the interaction between villin headpiece protein and graphdiyne
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作者 Bei-Wei Zhang Bing-Quan Zhang +1 位作者 Zhi-Gang Shao Xianqiu Wu 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第11期441-447,共7页
Recently,there has been a growing prevalence in the utilization of graphdiyne(GDY)in the field of biomedicine,attributed to its distinctive physical structure and chemical properties.Additionally,its biocompatibility ... Recently,there has been a growing prevalence in the utilization of graphdiyne(GDY)in the field of biomedicine,attributed to its distinctive physical structure and chemical properties.Additionally,its biocompatibility has garnered increasing attention.However,there is a lack of research on the biological effects and physical mechanisms of GDYprotein interactions at the molecular scale.In this study,the villin headpiece subdomain(HP35)served as a representative protein model.Molecular dynamics simulations were employed to investigate the interaction process between the HP35 protein and GDY,as well as the structural evolution of the protein.The data presented in our study demonstrate that GDY can rapidly adsorb HP35 protein and induce denaturation to one of the a-helix structures of HP35 protein.This implies a potential cytotoxicity concern of GDY for biological systems.Compared to graphene,GDY induced less disruption to HP35 protein.This can be attributed to the presence of natural triangular vacancies in GDY,which prevents p–p stacking action and the limited interaction of GDY with HP35 protein is not conducive to the expansion of protein structures.These findings unveil the biological effects of GDY at the molecular level and provide valuable insights for the application of GDY in biomedicine. 展开更多
关键词 graphdiyne villin headpiece molecular dynamics simulation biotoxicity
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Topological and dynamical phase transitions in the Su–Schrieffer–Heeger model with quasiperiodic and long-range hoppings
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作者 Wei-Jie Zhang Yi-Piao Wu +1 位作者 Ling-Zhi Tang Guo-Qing Zhang 《Communications in Theoretical Physics》 SCIE CAS CSCD 2022年第7期146-153,共8页
Disorders and long-range hoppings can induce exotic phenomena in condensed matter and artificial systems.We study the topological and dynamical properties of the quasiperiodic SuSchrier-Heeger model with long-range ho... Disorders and long-range hoppings can induce exotic phenomena in condensed matter and artificial systems.We study the topological and dynamical properties of the quasiperiodic SuSchrier-Heeger model with long-range hoppings.It is found that the interplay of quasiperiodic disorder and long-range hopping can induce topological Anderson insulator phases with nonzero winding numbers ω=1,2,and the phase boundaries can be consistently revealed by the divergence of zero-energy mode localization length.We also investigate the nonequilibrium dynamics by ramping the long-range hopping along two different paths.The critical exponents extracted from the dynamical behavior agree with the Kibble-Zurek mechanic prediction for the path with W=0.90.In particular,the dynamical exponent of the path crossing the multicritical point is numerical obtained as 1/6~0.167,which agrees with the unconventional finding in the previously studied XY spin model.Besides,we discuss the anomalous and non-universal scaling of the defect density dynamics of topological edge states in this disordered system under open boundary condictions. 展开更多
关键词 topological Anderson insulator higher winding number Kibble-Zurek machanic
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Interaction induced non-reciprocal three-level quantum transport
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作者 Sai Li Tao Chen +1 位作者 Jia Liu Zheng-Yuan Xue 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第6期32-36,共5页
Besides its fundamental importance, non-reciprocity has also found many potential applications in quantum technology. Recently, many quantum systems have been proposed to realize non-reciprocity, but stable non-recipr... Besides its fundamental importance, non-reciprocity has also found many potential applications in quantum technology. Recently, many quantum systems have been proposed to realize non-reciprocity, but stable non-reciprocal process is still experimentally difficult in general, due to the needed cyclical interactions in artificial systems or operational difficulties in solid state materials. Here, we propose a new kind of interaction induced non-reciprocal operation, based on the conventional stimulated-Raman-adiabatic-passage (STIRAP) setup, which removes the experimental difficulty of requiring cyclical interaction, and thus it is directly implementable in various quantum systems. Furthermore, we also illustrate our proposal on a chain of three coupled superconducting transmons, which can lead to a non-reciprocal circulator with high fidelity without a ring coupling configuration as in the previous schemes or implementations. Therefore, our protocol provides a promising way to explore fundamental non-reciprocal quantum physics as well as realize non-reciprocal quantum device. 展开更多
关键词 non-reciprocity quantum transport superconducting quantum circuits
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Variational quantum simulation of the quantum critical regime
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作者 石志全 谢旭丹 张旦波 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期181-187,共7页
The quantum critical regime marks a zone in the phase diagram where quantum fluctuation around the critical point plays a significant role at finite temperatures.While it is of great physical interest,simulation of th... The quantum critical regime marks a zone in the phase diagram where quantum fluctuation around the critical point plays a significant role at finite temperatures.While it is of great physical interest,simulation of the quantum critical regime can be difficult on a classical computer due to its intrinsic complexity.Herein,we propose a variational approach,which minimizes the variational free energy,to simulate and locate the quantum critical regime on a quantum computer.The variational quantum algorithm adopts an ansatz by performing an unitary operator on a product of a single-qubit mixed state,in which the entropy can be analytically obtained from the initial state,and thus the free energy can be accessed conveniently.With numeral simulation,using the one-dimensional Kitaev model as a demonstration we show that the quantum critical regime can be identified by accurately evaluating the temperature crossover line.Moreover,the dependencies of both the correlation length and the phase coherence time with temperature are evaluated for the thermal states.Our work suggests a practical way as well as a first step for investigating quantum critical systems at finite temperatures on quantum devices with few qubits. 展开更多
关键词 quantum algorithm quantum simulation quantum critical point
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Modulation of CO adsorption on 4,12,2-graphyne by Fe atom doping and applied electric field
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作者 董煜 邵志刚 +1 位作者 王苍龙 杨磊 《Chinese Physics B》 SCIE EI CAS CSCD 2023年第8期368-374,共7页
Adsorption characteristics of CO adsorbed on pristine 4,12,2-graphyne(4,12,2-G)and Fe-doped 4,12,2-graphyne(Fe-4,12,2-G)are studied by first-principles calculations.It is shown that CO is only physically adsorbed on p... Adsorption characteristics of CO adsorbed on pristine 4,12,2-graphyne(4,12,2-G)and Fe-doped 4,12,2-graphyne(Fe-4,12,2-G)are studied by first-principles calculations.It is shown that CO is only physically adsorbed on pristine 4,12,2-G.Fe atoms can be doped into 4,12,2-G stably and lead to band gap opening.After doping,the interaction between Fe-4,12,2-G and CO is significantly enhanced and chemisorption occurs.The maximum adsorption energy reaches-1.606 e V.Meanwhile,the charge transfer between them increases from 0.009e to 0.196e.Moreover,the electric field can effectively regulate the adsorption ability of the Fe-4,12,2-G system,which is expected to achieve the capture and release of CO.Our study is helpful to promote applications of two-dimensional carbon materials in gas sensing and to provide new ideas for reversible CO sensor research. 展开更多
关键词 CO Fe-doped 4 12 2-graphyne applied electric field first-principles calculations
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Synchronization and Phase Shaping of Single Photons with High-Efficiency Quantum Memory
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作者 Keyu Su Yunfei Wang +5 位作者 Shanchao Zhang Zhuoping Kong Yi Zhong Jianfeng Li Hui Yan Shi-Liang Zhu 《Chinese Physics Letters》 SCIE CAS CSCD 2021年第9期52-57,共6页
Time synchronization and phase shaping of single photons both play fundamental roles in quantum information applications that rely on multi-photon quantum interference.Phase shaping typically requires separate modulat... Time synchronization and phase shaping of single photons both play fundamental roles in quantum information applications that rely on multi-photon quantum interference.Phase shaping typically requires separate modulators with extra insertion losses.Here,we develop an all-optical built-in phase modulator for single photons using a quantum memory.The fast phase modulation of a single photon in both step and linear manner are verified by observing the efficient quantum-memory-assisted Hong-Ou-Mandel interference between two single photons,where the anti-coalescence effect of bosonic photon pairs is demonstrated.The developed phase modulator may push forward the practical quantum information applications. 展开更多
关键词 QUANTUM typically verified
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Characterizing entanglement in non-Hermitian chaotic systems via out-of-time ordered correlators
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作者 Kai-Qian Huang Wei-Lin Li +1 位作者 Wen-Lei Zhao Zhi Li 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第9期180-184,共5页
We investigate the quantum entanglement in a non-Hermitian kicking system.In the Hermitian case,the out-of-time ordered correlators(OTOCs)exhibit the unbounded power-law increase with time.Correspondingly,the linear e... We investigate the quantum entanglement in a non-Hermitian kicking system.In the Hermitian case,the out-of-time ordered correlators(OTOCs)exhibit the unbounded power-law increase with time.Correspondingly,the linear entropy,which is a common measurement of entanglement,rapidly increases from zero to almost unity,indicating the formation of quantum entanglement.For strong enough non-Hermitian driving,both the OTOCs and linear entropy rapidly saturate as time evolves.Interestingly,with the increase of non-Hermitian kicking strength,the long-time averaged value of both OTOCs and linear entropy has the same transition point where they exhibit the sharp decrease from a plateau,demonstrating the disentanglment.We reveal the mechanism of disentanglement with the extension of Floquet theory to non-Hermitian systems. 展开更多
关键词 out-of-time ordered correlators quantum entanglement non-Hermiticity
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Dynamically Characterizing the Structures of Dirac Points via Wave Packets
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作者 梁丹丹 沈鑫 李志 《Chinese Physics Letters》 SCIE EI CAS CSCD 2023年第11期9-13,共5页
Topological non-trivial band structures are the core problem in the field of topological materials.We investigate the topological band structure in a system with controllable Dirac points from the perspective of wave ... Topological non-trivial band structures are the core problem in the field of topological materials.We investigate the topological band structure in a system with controllable Dirac points from the perspective of wave packet dynamics.By adding a third-nearest-neighboring coupling to the graphene model,additional pairs of Dirac points emerge.The emergence and annihilation of Dirac points result in hybrid and parabolic points,and we show that these band structures can be revealed by the dynamical behaviors of wave packets.In particular,for the gapped hybrid point,the motion of the wave packet shows a one-dimensional Zitterbewegung motion.Furthermore,we also show that the winding number associated with the Dirac point and parabolic point can be determined via the center of mass and spin texture of wave packets,respectively.The results of this work could motivate new experimental methods to characterize a system’s topological signatures through wave packet dynamics,which may also find applications in systems of other exotic topological materials. 展开更多
关键词 DIRAC TOPOLOGICAL PARABOLIC
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Quantum Secure Multiparty Computation with Symmetric Boolean Functions
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作者 Hao Cao Wenping Ma +2 位作者 Ge Liu Liangdong Lü Zheng-Yuan Xue 《Chinese Physics Letters》 SCIE CAS CSCD 2020年第5期10-14,共5页
We propose a class of n-variable Boolean functions which can be used to implement quantum secure multiparty computation.We also give an implementation of a special quantum secure multiparty computation protocol.An adv... We propose a class of n-variable Boolean functions which can be used to implement quantum secure multiparty computation.We also give an implementation of a special quantum secure multiparty computation protocol.An advantage of our protocol is that only 1 qubit is needed to compute the n-tuple pairwise AND function,which is more efficient comparing with previous protocols.We demonstrate our protocol on the IBM quantum cloud platform,with a probability of correct output as high as 94.63%.Therefore,our protocol presents a promising generalization in realization of various secure multipartite quantum tasks. 展开更多
关键词 computation. QUANTUM BOOLEAN
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Increasing the efficiency of post-selection in direct measurement of the quantum wave function
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作者 Yong-Li Wen Shanchao Zhang +1 位作者 Hui Yan Shi-Liang Zhu 《Chinese Physics B》 SCIE EI CAS CSCD 2022年第3期285-291,共7页
Direct weak or strong measurement of quantum wave function based on post-selections has been widely explored;however, the efficiency of the measurement is heavily limited by the success probability of post-selection. ... Direct weak or strong measurement of quantum wave function based on post-selections has been widely explored;however, the efficiency of the measurement is heavily limited by the success probability of post-selection. Here we propose a modified scheme to directly measure photon’s wave function by simply inserting a liquid crystal plate before the postselection stage. Numerical simulations demonstrate that our modified method can significantly increase the efficiency of post selection. Our proposal would speed up the quantum wave function measurement with high resolution and high fidelity. 展开更多
关键词 weak measurement quantum state
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Purification of copper foils driven by single crystallization
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作者 寇金宗 赵孟泽 +10 位作者 李兴光 何梦林 杨方友 刘科海 成庆秋 任云龙 刘灿 付莹 吴慕鸿 刘开辉 王恩哥 《Chinese Physics B》 SCIE EI CAS CSCD 2024年第2期506-511,共6页
High-purity copper(Cu) with excellent thermal and electrical conductivity, is crucial in modern technological applications, including heat exchangers, integrated circuits, and superconducting magnets. The current puri... High-purity copper(Cu) with excellent thermal and electrical conductivity, is crucial in modern technological applications, including heat exchangers, integrated circuits, and superconducting magnets. The current purification process is mainly based on the zone/electrolytic refining or anion exchange, however, which excessively relies on specific integrated equipment with ultra-high vacuum or chemical solution environment, and is also bothered by external contaminants and energy consumption. Here we report a simple approach to purify the Cu foils from 99.9%(3N) to 99.99%(4N) by a temperature-gradient thermal annealing technique, accompanied by the kinetic evolution of single crystallization of Cu.The success of purification mainly relies on(i) the segregation of elements with low effective distribution coefficient driven by grain-boundary movements and(ii) the high-temperature evaporation of elements with high saturated vapor pressure.The purified Cu foils display higher flexibility(elongation of 70%) and electrical conductivity(104% IACS) than that of the original commercial rolled Cu foils(elongation of 10%, electrical conductivity of ~ 100% IACS). Our results provide an effective strategy to optimize the as-produced metal medium, and therefore will facilitate the potential applications of Cu foils in precision electronic products and high-frequency printed circuit boards. 展开更多
关键词 PURIFICATION copper foil thermal annealing technique single crystallization
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