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Journal articles on the topic 'Quantum many-body simulation'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Yao, Yunyan, and Liang Xiang. "Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium." Entropy 26, no. 7 (2024): 592. http://dx.doi.org/10.3390/e26070592.

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Quantum computing is an exciting field that uses quantum principles, such as quantum superposition and entanglement, to tackle complex computational problems. Superconducting quantum circuits, based on Josephson junctions, is one of the most promising physical realizations to achieve the long-term goal of building fault-tolerant quantum computers. The past decade has witnessed the rapid development of this field, where many intermediate-scale multi-qubit experiments emerged to simulate nonequilibrium quantum many-body dynamics that are challenging for classical computers. Here, we review the b

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2

FAN, YALE. "QUANTUM SIMULATION OF SIMPLE MANY-BODY DYNAMICS." International Journal of Quantum Information 10, no. 05 (2012): 1250049. http://dx.doi.org/10.1142/s0219749912500499.

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We describe a general quantum computational algorithm that simulates the time evolution of an arbitrary nonrelativistic, Coulombic many-body system in three dimensions, considering only spatial degrees of freedom. We use a simple discretized model of Schrödinger evolution in the coordinate representation and discuss detailed constructions of the operators necessary to realize the scheme of Wiesner and Zalka. The algorithm is simulated numerically for small test cases, and its outputs are found to be in good agreement with analytical solutions.

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3

Wilkinson, Samuel A., and Michael J. Hartmann. "Superconducting quantum many-body circuits for quantum simulation and computing." Applied Physics Letters 116, no. 23 (2020): 230501. http://dx.doi.org/10.1063/5.0008202.

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4

Ward, Nicholas J., Ivan Kassal, and Alán Aspuru-Guzik. "Preparation of many-body states for quantum simulation." Journal of Chemical Physics 130, no. 19 (2009): 194105. http://dx.doi.org/10.1063/1.3115177.

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5

Kharazi, Tyler, Ahmad M. Alkadri, Jin-Peng Liu, Kranthi K. Mandadapu, and K. Birgitta Whaley. "Explicit block encodings of boundary value problems for many-body elliptic operators." Quantum 9 (June 4, 2025): 1764. https://doi.org/10.22331/q-2025-06-04-1764.

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Simulation of physical systems is one of the most promising use cases of future digital quantum computers. In this work we systematically analyze the quantum circuit complexities of block encoding the discretized elliptic operators that arise extensively in numerical simulations for partial differential equations, including high-dimensional instances for many-body simulations. When restricted to rectangular domains with separable boundary conditions, we provide explicit circuits to block encode the many-body Laplacian with separable periodic, Dirichlet, Neumann, and Robin boundary conditions,

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6

Hutchinson, David A. W. "Ultracold atoms for simulation of many body quantum systems." Journal of Physics: Conference Series 793 (January 2017): 012009. http://dx.doi.org/10.1088/1742-6596/793/1/012009.

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7

Reyes, Justin A., Dan C. Marinescu, and Eduardo R. Mucciolo. "Simulation of quantum many-body systems on Amazon cloud." Computer Physics Communications 261 (April 2021): 107750. http://dx.doi.org/10.1016/j.cpc.2020.107750.

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8

Mi, X., A. A. Michailidis, S. Shabani, et al. "Stable quantum-correlated many-body states through engineered dissipation." Science 383, no. 6689 (2024): 1332–37. http://dx.doi.org/10.1126/science.adh9932.

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Engineered dissipative reservoirs have the potential to steer many-body quantum systems toward correlated steady states useful for quantum simulation of high-temperature superconductivity or quantum magnetism. Using up to 49 superconducting qubits, we prepared low-energy states of the transverse-field Ising model through coupling to dissipative auxiliary qubits. In one dimension, we observed long-range quantum correlations and a ground-state fidelity of 0.86 for 18 qubits at the critical point. In two dimensions, we found mutual information that extends beyond nearest neighbors. Lastly, by cou

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Luchnikov, Ilia A., Alexander Ryzhov, Pieter-Jan Stas, Sergey N. Filippov, and Henni Ouerdane. "Variational Autoencoder Reconstruction of Complex Many-Body Physics." Entropy 21, no. 11 (2019): 1091. http://dx.doi.org/10.3390/e21111091.

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Thermodynamics is a theory of principles that permits a basic description of the macroscopic properties of a rich variety of complex systems from traditional ones, such as crystalline solids, gases, liquids, and thermal machines, to more intricate systems such as living organisms and black holes to name a few. Physical quantities of interest, or equilibrium state variables, are linked together in equations of state to give information on the studied system, including phase transitions, as energy in the forms of work and heat, and/or matter are exchanged with its environment, thus generating en

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10

Lyu, Chufan, Victor Montenegro, and Abolfazl Bayat. "Accelerated variational algorithms for digital quantum simulation of many-body ground states." Quantum 4 (September 16, 2020): 324. http://dx.doi.org/10.22331/q-2020-09-16-324.

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One of the key applications for the emerging quantum simulators is to emulate the ground state of many-body systems, as it is of great interest in various fields from condensed matter physics to material science. Traditionally, in an analog sense, adiabatic evolution has been proposed to slowly evolve a simple Hamiltonian, initialized in its ground state, to the Hamiltonian of interest such that the final state becomes the desired ground state. Recently, variational methods have also been proposed and realized in quantum simulators for emulating the ground state of many-body systems. Here, we

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11

Novo, Leonardo, Juani Bermejo-Vega, and Raúl García-Patrón. "Quantum advantage from energy measurements of many-body quantum systems." Quantum 5 (June 2, 2021): 465. http://dx.doi.org/10.22331/q-2021-06-02-465.

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The problem of sampling outputs of quantum circuits has been proposed as a candidate for demonstrating a quantum computational advantage (sometimes referred to as quantum "supremacy"). In this work, we investigate whether quantum advantage demonstrations can be achieved for more physically-motivated sampling problems, related to measurements of physical observables. We focus on the problem of sampling the outcomes of an energy measurement, performed on a simple-to-prepare product quantum state – a problem we refer to as energy sampling. For different regimes of measurement resolution and measu

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12

Blatz, Tizian, Joyce Kwan, Julian Léonard, and Annabelle Bohrdt. "Bayesian Optimization for Robust State Preparation in Quantum Many-Body Systems." Quantum 8 (June 27, 2024): 1388. http://dx.doi.org/10.22331/q-2024-06-27-1388.

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New generations of ultracold-atom experiments are continually raising the demand for efficient solutions to optimal control problems. Here, we apply Bayesian optimization to improve a state-preparation protocol recently implemented in an ultracold-atom system to realize a two-particle fractional quantum Hall state. Compared to manual ramp design, we demonstrate the superior performance of our optimization approach in a numerical simulation – resulting in a protocol that is 10x faster at the same fidelity, even when taking into account experimentally realistic levels of disorder in the system.

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13

Kunz, A. Barry, Jie Meng, and John M. Vail. "Quantum-mechanical cluster-lattice interaction in crystal simulation: Many-body effects." Physical Review B 38, no. 2 (1988): 1064–66. http://dx.doi.org/10.1103/physrevb.38.1064.

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14

Wang, Hai-Xiao, Alan Zhan, Ya-Dong Xu, et al. "Quantum many-body simulation using monolayer exciton-polaritons in coupled-cavities." Journal of Physics: Condensed Matter 29, no. 44 (2017): 445703. http://dx.doi.org/10.1088/1361-648x/aa8933.

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15

Weimer, Hendrik. "Quantum simulation of many-body spin interactions with ultracold polar molecules." Molecular Physics 111, no. 12-13 (2013): 1753–58. http://dx.doi.org/10.1080/00268976.2013.789567.

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16

Riga, Jeanne M., and Craig C. Martens. "Environmental decoherence of many-body quantum systems: Semiclassical theory and simulation." Chemical Physics 322, no. 1-2 (2006): 108–17. http://dx.doi.org/10.1016/j.chemphys.2005.07.009.

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17

Ozhigov, Yu I., and A. Yu Ozhigov. "A collective behavior method in simulation of many-body quantum dynamics." Optics and Spectroscopy 103, no. 1 (2007): 39–46. http://dx.doi.org/10.1134/s0030400x07070065.

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18

Abrams, Daniel S., and Seth Lloyd. "Simulation of Many-Body Fermi Systems on a Universal Quantum Computer." Physical Review Letters 79, no. 13 (1997): 2586–89. http://dx.doi.org/10.1103/physrevlett.79.2586.

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19

Goldman, Nir, Laurence E. Fried, Rebecca K. Lindsey, C. Huy Pham, and R. Dettori. "Enhancing the accuracy of density functional tight binding models through ChIMES many-body interaction potentials." Journal of Chemical Physics 158, no. 14 (2023): 144112. http://dx.doi.org/10.1063/5.0141616.

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Semi-empirical quantum models such as Density Functional Tight Binding (DFTB) are attractive methods for obtaining quantum simulation data at longer time and length scales than possible with standard approaches. However, application of these models can require lengthy effort due to the lack of a systematic approach for their development. In this work, we discuss the use of the Chebyshev Interaction Model for Efficient Simulation (ChIMES) to create rapidly parameterized DFTB models, which exhibit strong transferability due to the inclusion of many-body interactions that might otherwise be inacc

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20

Heyl, Markus, Philipp Hauke, and Peter Zoller. "Quantum localization bounds Trotter errors in digital quantum simulation." Science Advances 5, no. 4 (2019): eaau8342. http://dx.doi.org/10.1126/sciadv.aau8342.

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A fundamental challenge in digital quantum simulation (DQS) is the control of an inherent error, which appears when discretizing the time evolution of a quantum many-body system as a sequence of quantum gates, called Trotterization. Here, we show that quantum localization-by constraining the time evolution through quantum interference-strongly bounds these errors for local observables, leading to an error independent of system size and simulation time. DQS is thus intrinsically much more robust than suggested by known error bounds on the global many-body wave function. This robustness is chara

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21

Chau Huu-Tai, P., and P. Van Isacker. "Convexity and the quantum many-body problem." Journal of Physics A: Mathematical and Theoretical 46, no. 20 (2013): 205302. http://dx.doi.org/10.1088/1751-8113/46/20/205302.

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22

Sun, Jiace, Lixue Cheng, and Shi-Xin Zhang. "Stabilizer ground states for simulating quantum many-body physics: theory, algorithms, and applications." Quantum 9 (June 24, 2025): 1782. https://doi.org/10.22331/q-2025-06-24-1782.

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Stabilizer states, which are also known as the Clifford states, have been commonly utilized in quantum information, quantum error correction, and quantum circuit simulation due to their simple mathematical structure. In this work, we apply stabilizer states to tackle quantum many-body ground state problems and introduce the concept of stabilizer ground states. We establish an equivalence formalism for identifying stabilizer ground states of general Pauli Hamiltonians. Moreover, we develop an exact and linear-scaled algorithm to obtain stabilizer ground states of 1D local Hamiltonians and thus

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23

Liu, Huan-Yu, Xiaoshui Lin, Zhao-Yun Chen, et al. "Simulation of open quantum systems on universal quantum computers." Quantum 9 (June 5, 2025): 1765. https://doi.org/10.22331/q-2025-06-05-1765.

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The rapid development of quantum computers has enabled demonstrations of quantum advantages on various tasks. However, real quantum systems are always dissipative due to their inevitable interaction with the environment, and the resulting non-unitary dynamics make quantum simulation challenging with only unitary quantum gates. In this work, we present an innovative and scalable method to simulate open quantum systems using quantum computers. We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel and thus can be effectiv

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24

Rossini, Davide. "Manipulating Quantum Many-Body Systems in the Presence of Controllable Dissipation." Proceedings 12, no. 1 (2019): 8. http://dx.doi.org/10.3390/proceedings2019012008.

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We discuss two quantum simulation schemes in which the coupling to an external bath may give rise to novel and interesting many-body physics. Namely, we first address the effect of local Markovian baths on the quantum annealing dynamics of an Ising-like chain: deviations from adiabaticity may display a nonmonotonic trend as a function of the annealing time, as a result of the competition between nonadiabatic effects and dissipative processes. Secondly, we provide a framework to induce persistent currents through the coupling with a structured reservoir which generates nonreciprocity, without t

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25

Cubitt, Toby S., Ashley Montanaro, and Stephen Piddock. "Universal quantum Hamiltonians." Proceedings of the National Academy of Sciences 115, no. 38 (2018): 9497–502. http://dx.doi.org/10.1073/pnas.1804949115.

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Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. However, we prove that the entire physics of any quantum many-body system can be replicated by certain simple, “universal” spin-lattice models. We first characterize precisely what it means for one quantum system to simulate the entire physics of another. We then fully classify the simulation power of all two-qubit interactions, thereby proving that certain simple models can simulate all others, and hence are universal. Our results put the practical field of analogue Hamiltonian simulation on a rigor

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26

Huo, Mingxia, and Ying Li. "Error-resilient Monte Carlo quantum simulation of imaginary time." Quantum 7 (February 9, 2023): 916. http://dx.doi.org/10.22331/q-2023-02-09-916.

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Computing the ground-state properties of quantum many-body systems is a promising application of near-term quantum hardware with a potential impact in many fields. The conventional algorithm quantum phase estimation uses deep circuits and requires fault-tolerant technologies. Many quantum simulation algorithms developed recently work in an inexact and variational manner to exploit shallow circuits. In this work, we combine quantum Monte Carlo with quantum computing and propose an algorithm for simulating the imaginary-time evolution and solving the ground-state problem. By sampling the real-ti

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27

Luo, Yu-Chen, and Xiao-Peng Li. "Quantum simulation of interacting fermions." Acta Physica Sinica 71, no. 22 (2022): 226701. http://dx.doi.org/10.7498/aps.71.20221756.

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Fermions are basic building blocks in the standard model. Interactions among these elementary particles determine how they assemble and consequently form various states of matter in our nature. Simulating fermionic degrees of freedom is also a central problem in condensed matter physics and quantum chemistry, which is crucial to understanding high-temperature superconductivity, quantum magnetism and molecular structure and functionality. However, simulating interacting fermions by classical computing generically face the minus sign problem, encountering the exponential computation complexity.

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28

Wang, Yuchen, LeeAnn M. Sager-Smith, and David A. Mazziotti. "Quantum simulation of bosons with the contracted quantum eigensolver." New Journal of Physics 25, no. 10 (2023): 103005. http://dx.doi.org/10.1088/1367-2630/acf9c3.

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Abstract Quantum computers are promising tools for simulating many-body quantum systems due to their potential scaling advantage over classical computers. While significant effort has been expended on many-fermion systems, here we simulate a model entangled many-boson system with the contracted quantum eigensolver (CQE). We generalize the CQE to many-boson systems by encoding the bosonic wavefunction on qubits. The CQE provides a compact ansatz for the bosonic wave function whose gradient is proportional to the residual of a contracted Schrödinger equation. We apply the CQE to a bosonic system

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29

Riga, Jeanne M., and Craig C. Martens. "Simulation of environmental effects on coherent quantum dynamics in many-body systems." Journal of Chemical Physics 120, no. 15 (2004): 6863–73. http://dx.doi.org/10.1063/1.1651472.

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30

GILLAN, M. J., and F. CHRISTODOULOS. "THE PATH-INTEGRAL QUANTUM SIMULATION OF HYDROGEN IN METALS." International Journal of Modern Physics C 04, no. 02 (1993): 287–97. http://dx.doi.org/10.1142/s0129183193000306.

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The path-integral method for simulating quantum many-body systems is outlined, emphasising the recently developed quantum transition state theory (QTST) for calculating transition rates. Recent applications of path-integral simulation to metal-hydrogen systems are described. It is shown how QTST applied through path-integral simulation allows the calculation of the temperature-dependent diffusion coefficient of hydrogen and its isotopes in metals. The new methods show that the change of activation energy experimentally observed in some systems arises from the cross-over between quantum and cla

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31

MUN, Jongchul, Jeewoo PARK, Yong-il SHIN, and Jae-yoon CHOI. "Quantum Simulation Using Ultracold Neutral Atoms." Physics and High Technology 34, no. 6 (2025): 10–18. https://doi.org/10.3938/phit.34.017.

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Recent experimental advances in laser cooling and trapping have enabled the creation of atomic gases at ultra-low temperatures in the nano-Kelvin regime, offering a highly controllable and versatile platform for quantum simulation of diverse many-body quantum phenomena. In this review, we provide an overview of quantum simulation using ultracold neutral atoms and highlight our recent research efforts in this area, along with a discussion of promising future directions.

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32

Kiczynski, M., S. K. Gorman, H. Geng, et al. "Engineering topological states in atom-based semiconductor quantum dots." Nature 606, no. 7915 (2022): 694–99. http://dx.doi.org/10.1038/s41586-022-04706-0.

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AbstractThe realization of controllable fermionic quantum systems via quantum simulation is instrumental for exploring many of the most intriguing effects in condensed-matter physics1–3. Semiconductor quantum dots are particularly promising for quantum simulation as they can be engineered to achieve strong quantum correlations. However, although simulation of the Fermi–Hubbard model4 and Nagaoka ferromagnetism5 have been reported before, the simplest one-dimensional model of strongly correlated topological matter, the many-body Su–Schrieffer–Heeger (SSH) model6–11, has so far remained elusive—

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33

Weidenmüller, H. A. "Transport equations for driven many-body quantum systems." Journal of Physics A: Mathematical and Theoretical 55, no. 18 (2022): 184001. http://dx.doi.org/10.1088/1751-8121/ac2f8d.

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Abstract Transport equations for autonomous driven fermionic quantum systems are derived with the help of statistical assumptions, and of the Markov approximation. The statistical assumptions hold if the system consists of subsystems within which equilibration is sufficiently fast. The Markov approximation holds if the level density in each subsystem is sufficiently smooth in energy. The transport equation describes both, relaxation of occupation probability among subsytems at equal energy that leads to thermalization, and the transport of the system to higher energy caused by the driving forc

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34

Sumeet, Srinivasa Prasannaa V, Bhanu Pratap Das, and Bijaya Kumar Sahoo. "Assessing the Precision of Quantum Simulation of Many-Body Effects in Atomic Systems Using the Variational Quantum Eigensolver Algorithm." Quantum Reports 4, no. 2 (2022): 173–92. http://dx.doi.org/10.3390/quantum4020012.

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The emerging field of quantum simulation of many-body systems is widely recognized as a very important application of quantum computing. A crucial step towards its realization in the context of many-electron systems requires a rigorous quantum mechanical treatment of the different interactions. In this pilot study, we investigate the physical effects beyond the mean-field approximation, known as electron correlation, in the ground state energies of atomic systems using the classical-quantum hybrid variational quantum eigensolver algorithm. To this end, we consider three isoelectronic species,

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35

TAKAHASHI, Yoshiro. "Quantum simulation of quantum many-body systems with ultracold two-electron atoms in an optical lattice." Proceedings of the Japan Academy, Series B 98, no. 4 (2022): 141–60. http://dx.doi.org/10.2183/pjab.98.010.

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36

Greenaway, Sean, Adam Smith, Florian Mintert, and Daniel Malz. "Analogue Quantum Simulation with Fixed-Frequency Transmon Qubits." Quantum 8 (February 22, 2024): 1263. http://dx.doi.org/10.22331/q-2024-02-22-1263.

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We experimentally assess the suitability of transmon qubits with fixed frequencies and fixed interactions for the realization of analogue quantum simulations of spin systems. We test a set of necessary criteria for this goal on a commercial quantum processor using full quantum process tomography and more efficient Hamiltonian tomography. Significant single qubit errors at low amplitudes are identified as a limiting factor preventing the realization of analogue simulations on currently available devices. We additionally find spurious dynamics in the absence of drive pulses, which we identify wi

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37

Chen, Xuwen, and Yan Guo. "On the weak coupling limit of quantum many-body dynamics and the quantum Boltzmann equation." Kinetic & Related Models 8, no. 3 (2015): 443–65. http://dx.doi.org/10.3934/krm.2015.8.443.

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38

Yan, Zhiguang, Yu-Ran Zhang, Ming Gong, et al. "Strongly correlated quantum walks with a 12-qubit superconducting processor." Science 364, no. 6442 (2019): 753–56. http://dx.doi.org/10.1126/science.aaw1611.

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Quantum walks are the quantum analogs of classical random walks, which allow for the simulation of large-scale quantum many-body systems and the realization of universal quantum computation without time-dependent control. We experimentally demonstrate quantum walks of one and two strongly correlated microwave photons in a one-dimensional array of 12 superconducting qubits with short-range interactions. First, in one-photon quantum walks, we observed the propagation of the density and correlation of the quasiparticle excitation of the superconducting qubit and quantum entanglement between qubit

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39

Yuan, Xiao, Suguru Endo, Qi Zhao, Ying Li, and Simon C. Benjamin. "Theory of variational quantum simulation." Quantum 3 (October 7, 2019): 191. http://dx.doi.org/10.22331/q-2019-10-07-191.

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The variational method is a versatile tool for classical simulation of a variety of quantum systems. Great efforts have recently been devoted to its extension to quantum computing for efficiently solving static many-body problems and simulating real and imaginary time dynamics. In this work, we first review the conventional variational principles, including the Rayleigh-Ritz method for solving static problems, and the Dirac and Frenkel variational principle, the McLachlan's variational principle, and the time-dependent variational principle, for simulating real time dynamics. We focus on the s

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40

Zhang, Dan-Wei, and Xu-Chen Yang. "Simulation of the many-body dynamical quantum Hall effect in an optical lattice." Quantum Information Processing 15, no. 5 (2016): 1909–20. http://dx.doi.org/10.1007/s11128-016-1252-9.

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41

Kivlichan, Ian D., Nathan Wiebe, Ryan Babbush, and Alán Aspuru-Guzik. "Bounding the costs of quantum simulation of many-body physics in real space." Journal of Physics A: Mathematical and Theoretical 50, no. 30 (2017): 305301. http://dx.doi.org/10.1088/1751-8121/aa77b8.

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Chachkarova, Elena, Terence Tse, Yordan Yordanov, Yao Wei, and Cedric Weber. "Quantum Embedding of Non-Local Quantum Many-Body Interactions in an Prototypal Anti-Tumor Vaccine Metalloprotein on Near-Term Quantum Computing Hardware." International Journal of Molecular Sciences 26, no. 4 (2025): 1550. https://doi.org/10.3390/ijms26041550.

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The world obeys quantum physics and quantum computing presents an alternative way to map physical problems to systems that follow the same laws. Such computation fundamentally constitutes a better way to understand the most challenging quantum problems. One such problem is the accurate simulation of highly correlated quantum systems. Still, modern-day quantum hardware has limitations and only allows for the modeling of simple systems. Here, we present for the first time a quantum computer model simulation of a complex hemocyanin molecule, which is an important respiratory protein involved in v

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43

Gray, Johnnie, and Stefanos Kourtis. "Hyper-optimized tensor network contraction." Quantum 5 (March 15, 2021): 410. http://dx.doi.org/10.22331/q-2021-03-15-410.

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Tensor networks represent the state-of-the-art in computational methods across many disciplines, including the classical simulation of quantum many-body systems and quantum circuits. Several applications of current interest give rise to tensor networks with irregular geometries. Finding the best possible contraction path for such networks is a central problem, with an exponential effect on computation time and memory footprint. In this work, we implement new randomized protocols that find very high quality contraction paths for arbitrary and large tensor networks. We test our methods on a vari

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44

Raghunandan, Meghana, Fabian Wolf, Christian Ospelkaus, Piet O. Schmidt, and Hendrik Weimer. "Initialization of quantum simulators by sympathetic cooling." Science Advances 6, no. 10 (2020): eaaw9268. http://dx.doi.org/10.1126/sciadv.aaw9268.

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Simulating computationally intractable many-body problems on a quantum simulator holds great potential to deliver insights into physical, chemical, and biological systems. While the implementation of Hamiltonian dynamics within a quantum simulator has already been demonstrated in many experiments, the problem of initialization of quantum simulators to a suitable quantum state has hitherto remained mostly unsolved. Here, we show that already a single dissipatively driven auxiliary particle can efficiently prepare the quantum simulator in a low-energy state of largely arbitrary Hamiltonians. We

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45

Taylor, Jacob, Sumit Goswami, Valentin Walther, Michael Spanner, Christoph Simon, and Khabat Heshami. "Simulation of many-body dynamics using Rydberg excitons." Quantum Science and Technology, May 18, 2022. http://dx.doi.org/10.1088/2058-9565/ac70f4.

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Abstract The recent observation of high-lying Rydberg states of excitons in semiconductors with relatively high binding energy motivates exploring their applications in quantum nonlinear optics and quantum information processing. Here, we study Rydberg excitation dynamics of a mesoscopic array of excitons to demonstrate its application in simulation of quantum many-body dynamics. We show that the Z2-ordered phase can be reached using physical parameters available for cuprous oxide (Cu2O) by optimizing driving laser parameters such as duration, intensity, and frequency. In an example, we study

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46

Fauseweh, Benedikt, and Jian-Xin Zhu. "Digital quantum simulation of non-equilibrium quantum many-body systems." Quantum Information Processing 20, no. 4 (2021). http://dx.doi.org/10.1007/s11128-021-03079-z.

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47

Gu Zhao-Long and Li Jian-Xin. "Topological order and fractionalized excitations in quantum many-body systems." Acta Physica Sinica, 2024, 0. http://dx.doi.org/10.7498/aps.73.20240222.

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The Landau Fermi liquid theory and the Ginzburg-Landau phase transition theory stand as two pivotal cornerstones in traditional condensed matter physics, achieving significant success in addressing crucial physical phenomena such as BCS superconductors and liquid helium superfluids. However, marked by the discoveries of the quantum Hall effect and high-temperature superconductivity in the 1980s, it gradually became evident that for a broad class of novel quantum states, such as fractional quantum Hall states and quantum spin liquids, their properties transcend the Landau Fermi liquid theory an

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48

Riera, Marc, Christopher Knight, Ethan F. Bull-Vulpe, et al. "MBX: A many-body energy and force calculator for data-driven many-body simulations." Journal of Chemical Physics 159, no. 5 (2023). http://dx.doi.org/10.1063/5.0156036.

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Many-Body eXpansion (MBX) is a C++ library that implements many-body potential energy functions (PEFs) within the “many-body energy” (MB-nrg) formalism. MB-nrg PEFs integrate an underlying polarizable model with explicit machine-learned representations of many-body interactions to achieve chemical accuracy from the gas to the condensed phases. MBX can be employed either as a stand-alone package or as an energy/force engine that can be integrated with generic software for molecular dynamics and Monte Carlo simulations. MBX is parallelized internally using Open Multi-Processing and can utilize M

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Weimer, Hendrik, Augustine Kshetrimayum, and Román Orús. "Simulation methods for open quantum many-body systems." Reviews of Modern Physics 93, no. 1 (2021). http://dx.doi.org/10.1103/revmodphys.93.015008.

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Berezutskii, A. V., I. A. Luchnikov, and A. K. Fedorov. "Simulating quantum circuits using the multi-scale entanglement renormalization ansatz." Physical Review Research 7, no. 1 (2025). https://doi.org/10.1103/physrevresearch.7.013063.

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Abstract:

Understanding the limiting capabilities of classical methods in simulating complex quantum systems is of paramount importance for quantum technologies. Although many advanced approaches have been proposed and recently used to challenge quantum advantage experiments, novel efficient methods for the approximate simulation of complex quantum systems are still in high demand. Here, we propose a scalable technique for approximate simulations of intermediate-size quantum circuits on the basis of the multi-scale entanglement renormalization ansatz (MERA) and Riemannian optimization. The MERA is a ten

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