Article
Materials Science, Multidisciplinary
Lukas Homeier, Christian Schweizer, Monika Aidelsburger, Arkady Fedorov, Fabian Grusdt
Summary: This work presents a building block for Z(2) lattice gauge theories coupled to dynamical matter, enabling the implementation of the toric code ground state and its topological excitations. The proposal is realized in the second-order coupling regime and is well suited for superconducting qubit implementations. The study outlines a pathway for preparing topologically nontrivial initial states and experimental signatures of the ground-state wave function.
Article
Multidisciplinary Sciences
Weixuan Zhang, Hao Yuan, Haiteng Wang, Fengxiao Di, Na Sun, Xingen Zheng, Houjun Sun, Xiangdong Zhang
Summary: This study reports the experimental simulation of anyonic Bloch oscillations using electric circuits. The oscillation behaviors of two bosons and two pseudofermions were verified by measuring the voltage dynamics, consistent with theoretical predictions. This research provides a flexible platform to investigate and visualize phenomena related to particle statistics.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
T. Jonckheere, J. Rech, B. Gremaud, T. Martin
Summary: We demonstrate that Hong-Ou-Mandel interferences between excitations created by narrow voltage pulses on the edge states of a low temperature fractional quantum Hall effect (FQHE) system directly reveal the anyonic statistics.
PHYSICAL REVIEW LETTERS
(2023)
Article
Materials Science, Multidisciplinary
Jie Li, Dan Ye, Chen-Xin Jiang, Na Jiang, Xin Wan, Zi-Xiang Hu
Summary: This study investigates the dynamics of quasihole states in a Laughlin fractional quantum Hall state, with a focus on the impact of external potential, long-range interaction, and confinement. Additionally, the Berry-phase calculation allows for an accurate evaluation of the mutual statistics phase of anyons.
Article
Nanoscience & Nanotechnology
Saverio Francesconi, Arnault Raymond, Nicolas Fabre, Aristide Lemaitre, Maria Amanti, Perola Milman, Florent Baboux, Sara Ducci
Summary: Parametric down-conversion in an integrated semiconductor chip is used to generate biphoton states simulating anyonic particle statistics, paving the way for practical implementation of quantum simulation tasks with tailored particle statistics.
Article
Physics, Multidisciplinary
Alexander Mietke, Jorn Dunkel
Summary: Researchers studied dihedral (k-atic) liquid crystals (DLCs) by generalizing the half-integer defects in nematic liquid crystals. They developed a unified hydrodynamic description model and investigated its behavior through particle simulations. They also predicted a novel spontaneous chiral symmetry-breaking transition in antialigning DLCs.
Article
Multidisciplinary Sciences
J. Nakamura, S. Liang, G. C. Gardner, M. J. Manfra
Summary: This study experimentally verifies the importance of quantum Hall interferometers in studying fractional statistics, and estimates the effects of electrostatic parameters on interferometer behavior using two methods. The results show that these electrostatic parameters can account for the observed phase jumps and Aharonov-Bohm oscillations in the experiment.
NATURE COMMUNICATIONS
(2022)
Article
Physics, Multidisciplinary
Xin-chang Liu, Dan-dan Sun, Xiao-dong Shi, Xiao-lei Zhang, Q. Zhang, Xiang-jun Xin
Summary: This work investigates the dynamics of the parity-time-anyonic Hamiltonian with a coupled circuit model and finds that parity-time symmetry can be achieved under tunable phases.
Article
Physics, Multidisciplinary
Lisa Arndt, Fabian Hassler
Summary: This letter discusses the phenomenon of discrete time-translation symmetry breaking in periodically driven systems and proposes the use of quantum vacuum fluctuations to induce period multiplication. The authors demonstrate, using a circuit QED setup, that the system exhibits a nonequilibrium phase transition under weak dissipation or strong driving conditions.
PHYSICAL REVIEW LETTERS
(2022)
Article
Mathematics, Applied
Wei Pan, Liping Chen, Weidong Zhang
Summary: In this paper, a novel complex fractional-order hyperchaotic multi-scroll attractor is constructed by combining nonlinearities with different forming mechanism from a simple structure. The dynamics of the designed system are analyzed, and the existence of hyperchaos is verified using numerical simulations and circuit simulation results. The feasibility of the design is demonstrated through the observation of multi-scroll hyperchaotic attractors.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Quantum Science & Technology
Sheng Liu
Summary: This study proposes a scheme for probing topological phase transitions at finite temperature using two transmon qubits. The Uhlmann number of the simulated mixed state can be verified by measuring the mixed geometry phase shift, which exhibits 2pi-discontinuous Uhlmann phase jumps. Based on estimates using conservative experimental parameters, the measurements are experimentally solvable.
QUANTUM INFORMATION PROCESSING
(2022)
Article
Physics, Multidisciplinary
Shane P. Kelly, Ana Maria Rey, Jamir Marino
Summary: The study investigates the far-from-equilibrium dynamics of a many-body spin-boson model, finding that varying the frequency of photons can significantly alter the system's dynamical responses. When photons evolve at a similar rate as spins, they can induce qualitatively distinct frustrated dynamics, illustrating the resilience of glassylike dynamics in the presence of active photonic degrees of freedom. This suggests that disordered quantum many-body systems with resonant photons or phonons can exhibit a rich diagram of nonequilibrium responses, with potential applications in quantum information science in the near future.
PHYSICAL REVIEW LETTERS
(2021)
Article
Quantum Science & Technology
Boxi Li, Tommaso Calarco, Felix Motzoi
Summary: Deriving effective Hamiltonian models is crucial in quantum theory, especially for control and engineering problems. This work presents two symbolic methods, NPAD and RSWT, for computing effective Hamiltonian models, and demonstrates their applications in superconducting qubit systems.
Article
Materials Science, Multidisciplinary
Qing-Wei Wang
Summary: The dynamical correlations of hard-core anyons in one-dimensional lattices are studied in this paper. Exact expressions for the Green's function, the spectral function, and the out-of-time-ordered correlators are obtained. Three main singularity lines are observed in the anyonic spectral function, which correspond to a peak in the momentum distribution function and a power-law singularity in the local spectral function. The anyonic statistics also induce spatial asymmetry in the correlations. Light-cone dynamics are observed in the information spreading characterized by the out-of-time-ordered correlators.
Article
Physics, Multidisciplinary
N. Delas, B. Lev
Summary: Analysis of the basic postulate of statistical physics suggests that both Bose-Einstein and Fermi-Dirac statistics, and random statistics may be derived from the condition that a priori probabilities in a special way depend on the population of the energetic level. The concept of variable a priori probabilities allows the theory to go beyond the limitations of equal probabilities of microstates, and does not require the basic assumption of particle indistinguishability. The assumed dependence of the a priori probability on the population of energy levels is used to construct probable distribution functions, which can explain certain features of physical systems. The formal possibility of a non-quantum origin of quantum statistics allows for their application in a wide range of macroscopic systems.
EUROPEAN PHYSICAL JOURNAL PLUS
(2022)
Article
Physics, Applied
Li-Na Ji, Yan Liang, Pu Shen, Zheng-Yuan Xue
Summary: Nonadiabatic holonomic quantum computation (NHQC) is a geometric approach that uses fast evolution processes to overcome noise, but is sensitive to systematic noise and error. We propose a path-optimized NHQC scheme based on non-Abelian geometric phase, where a geometric gate can be constructed by different evolution paths, with each path responding differently to systematic noise. Numerical simulation shows that our optimized scheme outperforms conventional NHQC in terms of fidelity and robustness of gates. Additionally, we suggest implementing our strategy on superconducting quantum circuits.
PHYSICAL REVIEW APPLIED
(2022)
Article
Physics, Applied
Yue Li, Zhi-Cheng He, Xinxing Yuan, Mengxiang Zhang, Chang Liu, Yi-Xuan Wu, Mingdong Zhu, Xi Qin, Zheng-Yuan Xue, Yiheng Lin, Jiangfeng Du
Summary: In this study, we extended and experimentally demonstrated analytically based swift quantum control techniques on a four-level trapped ion system. By using tailored time-varied drive, we achieved individual or simultaneous control over two pairs of spectrally nearby transitions, with high operational fidelities. We achieved approximately an order of magnitude speedup compared with the conventional weak square pulse control.
PHYSICAL REVIEW APPLIED
(2022)
Article
Chemistry, Multidisciplinary
Wei-Ping Yuan, Zhi-Cheng He, Sai Li, Zheng-Yuan Xue
Summary: For larger-scale quantum information processing, the efficient reset of qubits is crucial but has been a challenge. In this study, we propose a fast and simple reset protocol based on the coupler-coupled qubits architecture, which transfers the qubit excitation to the combined excitation of a low-quality coupler and readout resonator, leading to efficient qubit reset. Numerical results demonstrate that the protocol can suppress the residual population of the qubit's excited state to 0.04% within 28 ns.
APPLIED SCIENCES-BASEL
(2023)
Article
Physics, Multidisciplinary
X. -Q. Liu, J. Liu, Z. -Y. Xue
Summary: We propose a new scheme to achieve high-fidelity and long-distance quantum state transfer by adding on-site potential and increasing the proportion of coupling strength between the qubit chain and its ends. In numerical simulations, without decoherence, the transfer fidelities of 9 and 11 qubit chains are 0.999 and 0.997, respectively. Moreover, we provide a detailed physical realization scheme for quantum state transfer in superconducting circuits and discuss the tolerance of our proposal against decoherence. Therefore, our scheme offers new insights into quantum computation with long chains and high-fidelity quantum state transfer.
Article
Physics, Applied
Yan Liang, Pu Shen, Li-Na Ji, Zheng-Yuan Xue
Summary: In this study, we propose a state-independent nonadiabatic geometric quantum-gate scheme that enables the realization of a more fully geometric gate and cancels the dynamical phases accumulated by an arbitrary state. Numerical simulations demonstrate that our scheme has significantly stronger gate robustness than previous geometric and dynamical schemes. Additionally, we provide a detailed physical implementation of our scheme using the Rydberg atom system, specifically for multiqubit control-phase gates, which surpasses the fault-tolerance threshold of multiqubit gates in the considered error range. Therefore, our scheme offers a promising approach for fault-tolerant quantum computation in atomic systems.
PHYSICAL REVIEW APPLIED
(2023)
Review
Computer Science, Information Systems
Yan Liang, Pu Shen, Tao Chen, Zheng-Yuan Xue
Summary: The geometric phase has the advantage of being resistant to certain local noises due to its reliance on global properties of the evolution path. Additionally, the non-Abelian geometric phase in matrix form can be used for high-performance quantum gates, known as holonomic quantum computation. This article reviews recent advancements in nonadiabatic holonomic quantum computation, focusing on optimal control approaches to enhance gate performance in terms of fidelity and robustness. The possibilities and concrete examples of physical realizations are also discussed. Ultimately, state-of-the-art technology allows implemented holonomic quantum gates to outperform conventional dynamical ones under certain conditions.
SCIENCE CHINA-INFORMATION SCIENCES
(2023)
Article
Physics, Multidisciplinary
Cheng-Yun Ding, Li Chen, Li-Hua Zhang, Zheng-Yuan Xue
Summary: Recently, the nonadiabatic geometric quantum computation has gained attention due to its fast operation and error resilience. However, the robustness of implemented nonadiabatic geometric gates based on the conventional single-loop scheme is still limited, and the fault-tolerance characteristic is not fully explored.
FRONTIERS OF PHYSICS
(2023)
Article
Physics, Applied
Zhuang Ma, Jianwen Xu, Tao Chen, Yu Zhang, Wen Zheng, Shaoxiong Li, Dong Lan, Zheng-Yuan Xue, Xinsheng Tan, Yang Yu
Summary: In this study, we successfully implemented noncyclic and nonadiabatic geometric quantum gates in a superconducting circuit, greatly reducing the gate time. Using the randomized benchmarking method, we experimentally demonstrated the robustness of these gates to systematic errors and also showed their potential for two-qubit geometric operations and the generation of maximally entangled Bell states.
PHYSICAL REVIEW APPLIED
(2023)
Article
Optics
Pu Shen, Yan Liang, Tao Chen, Zheng-Yuan Xue
Summary: This paper proposes a solution for nonadiabatic holonomic quantum computation based on three-level systems. Arbitrary holonomic gates are implemented using a three-segment Hamiltonian, and the gate time is dependent on the rotation angle. The scheme shows improved robustness and is particularly suitable for small-angle rotation gates. The physical realization of the proposal on a two-dimensional superconducting quantum circuit demonstrates its feasibility.
Article
Optics
Chengxian Zhang, Guo Xuan Chan, Xin Wang, Zheng-Yuan Xue
Summary: A key challenge in semiconductor quantum-dot charge qubits is achieving long-range qubit coupling and performing high-fidelity gates. This study presents a different type of charge qubit formed by an electron confined in a triple-quantum-dot system, enabling single and two-qubit gates in specific detuning sweet spots. The study also proposes a form of long-range dipolar coupling between the charge qubit and superconducting resonator, allowing for entangling gates in both dispersive and resonant regimes.
Article
Multidisciplinary Sciences
Ming-Zhong Ai, Sai Li, Ran He, Zheng-Yuan Xue, Jin-Ming Cui, Yun-Feng Huang, Chuan-Feng Li, Guang-Can Guo
Summary: This study experimentally demonstrates the implementation of high-fidelity and robust holonomic quantum logic gates on trapped ions. The proposed method shows promise for fast and reliable quantum computation.
FUNDAMENTAL RESEARCH
(2022)
Article
Astronomy & Astrophysics
Xu-Dan Xie, Xingyu Guo, Hongxi Xing, Zheng-Yuan Xue, Dan-Bo Zhang, Shi-Liang Zhu
Summary: This paper proposes a variational approach using lattice Schwinger model to simulate the confinement or deconfinement, and shows the changes in string tension with temperature and chemical potential through numerical simulations. The potential of using quantum computers to investigate the phase diagram of finite-temperature and finite-density nuclear matters is demonstrated through simulations on classical computers.
Article
Optics
Ming-Jie Liang, Zheng-Yuan Xue
Summary: The article introduces a new type of nonadiabatic geometric quantum computation scheme, combining dynamic correction techniques and decoherence-free subspace encoding strategies to improve gate robustness and interference resistance, being experimentally friendly, and feasible in superconducting quantum circuits.
Article
Optics
Qin -Zhou Ye, Zhen-Tao Liang, Wei-Xin Zhang, De-Jian Pan, Zheng-Yuan Xue, Hui Yan
Summary: This paper proposes a method to speed up the generation of entanglement between superconducting and atomic qubits by linearly driving the qubits. Compared to traditional methods, this technique achieves a 10-fold speedup and maintains high fidelity, making it suitable for fast quantum information processing in various platforms.
Proceedings Paper
Computer Science, Software Engineering
Zhengyuan Xue
Summary: This paper proposes a novel method for estimating the Phi-quantile item in a data stream. The method achieves high accuracy and requires minimal extra space by dividing the data stream into groups, selecting extreme values from each group, and summarizing them to obtain the estimated quantiles. The method allows for estimating the Phi-quantile in a single pass and ensures the expected rank of the result item matches the desired rank.
ALGORITHMS AND ARCHITECTURES FOR PARALLEL PROCESSING, ICA3PP 2021, PT I
(2022)
