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Simulating quantum many-body systems is a highly demanding task since the required resources grow exponentially with the dimension of the system. In the case of fermionic systems, this is even harder since nonlocal interactions emerge due…

Tensor Network States are ans\"atze for the efficient description of quantum many-body systems. Their success for one dimensional problems, together with the fact that they do not suffer from the sign problem and can address the simulation…

High Energy Physics - Lattice · Physics 2022-09-21 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan Kühn

Neural-network quantum states have recently emerged as a powerful method for solving quantum many-body problems, with notable successes in lattice systems. Here, we extend this approach to strongly interacting few-body problems in…

Quantum Gases · Physics 2026-04-07 Sora Yokoi , Shimpei Endo , Hiroki Saito

We solve the nuclear two-body and three-body bound states via quantum simulations of pionless effective field theory on a lattice in position space. While the employed lattice remains small, the usage of local Hamiltonians including two-…

Nuclear Theory · Physics 2026-03-26 Chenyi Gu , Matthias Heinz , Oriel Kiss , Thomas Papenbrock

Several proposals for quantum computation utilize a lattice type architecture with qubits trapped by a periodic potential. For systems undergoing many body interactions described by the Bose-Hubbard Hamiltonian, the ground state of the…

Quantum Physics · Physics 2015-06-26 Guido Pupillo , Ana Maria Rey , Gavin Brennen , Carl J. Williams , Charles W. Clark

We present a quantum algorithm for simulating complex many-body systems and finding their ground states, combining the use of tensor networks and density matrix renormalization group (DMRG) techniques. The algorithm is based on von…

Quantum Physics · Physics 2026-03-06 Younes Javanmard

We present a hybrid numerical approach to simulate quantum many body problems on two spatial dimensional quantum lattice models via the non-Abelian ab initio version of the density matrix renormalization group method on state-of-the-art…

Strongly Correlated Electrons · Physics 2024-06-05 Andor Menczer , Kornél Kapás , Miklós Antal Werner , Örs Legeza

Quantum state tomography (QST) allows for the reconstruction of quantum states through measurements and some inference technique under the assumption of repeated state preparations. Bayesian inference provides a promising platform to…

Quantum Physics · Physics 2025-05-22 Hanson H. Nguyen , Kody J. H. Law , Joseph M. Lukens

In this work, we present a quantum Markov chain algorithm for many-body systems that utilizes a special phase of matter known as the Many-Body Localized (MBL) phase. We show how the properties of the MBL phase enable one to address the…

Quantum Physics · Physics 2026-05-05 Mauro D'Arcangelo , Younes Javanmard , Natalie Pearson

Computing dynamical distributions in quantum many-body systems represents one of the paradigmatic open problems in theoretical condensed matter physics. Despite the existence of different techniques both in real-time and frequency space,…

Disordered Systems and Neural Networks · Physics 2021-08-04 Rouven Koch , Jose L. Lado

Quantum computers have a potential for solving quantum chemistry problems with higher accuracy than classical computers. Quantum computing quantum Monte Carlo (QC-QMC) is a QMC with a trial state prepared in quantum circuit, which is…

Quantum Physics · Physics 2024-06-07 Shu Kanno , Hajime Nakamura , Takao Kobayashi , Shigeki Gocho , Miho Hatanaka , Naoki Yamamoto , Qi Gao

For the first time, we implement the deep-neural-network-based variational Monte Carlo approach for the multiquark bound states, whose complexity surpasses that of electron or nucleon systems due to strong SU(3) color interactions. We…

High Energy Physics - Phenomenology · Physics 2026-02-20 Wei-Lin Wu , Lu Meng , Shi-Lin Zhu

Studying general quantum many-body systems is one of the major challenges in modern physics because it requires an amount of computational resources that scales exponentially with the size of the system.Simulating the evolution of a state,…

Quantum Physics · Physics 2018-07-03 Andrea Rocchetto , Edward Grant , Sergii Strelchuk , Giuseppe Carleo , Simone Severini

The Hubbard model is an important tool to understand the electrical properties of various materials. More specifically, on the honeycomb lattice it is used to describe graphene predicting a quantum phase transition from a semimetal to a…

Strongly Correlated Electrons · Physics 2023-03-31 Johann Ostmeyer

Due to the exponential growth of the Hilbert space dimension with system size, the simulation of quantum many-body systems has remained a persistent challenge until today. Here, we review a relatively new class of variational states for the…

Disordered Systems and Neural Networks · Physics 2024-07-29 Hannah Lange , Anka Van de Walle , Atiye Abedinnia , Annabelle Bohrdt

Recently, artificial intelligence for science has made significant inroads into various fields of natural science research. In the field of quantum many-body computation, researchers have developed numerous ground state solvers based on…

Strongly Correlated Electrons · Physics 2026-02-26 Jia-Qi Wang , Rong-Qiang He , Zhong-Yi Lu

Based on the scheme of variational Monte Carlo sampling, we develop an accurate and efficient two-dimensional tensor-network algorithm to simulate quantum lattice models. We find that Monte Carlo sampling shows huge advantages in dealing…

Strongly Correlated Electrons · Physics 2021-06-28 Wen-Yuan Liu , Yi-Zhen Huang , Shou-Shu Gong , Zheng-Cheng Gu

We introduce a variational Monte Carlo framework that combines neural-network quantum states with the Lorentz integral transform technique to compute the dynamical properties of self-bound quantum many-body systems in continuous Hilbert…

Nuclear Theory · Physics 2025-04-30 Elad Parnes , Nir Barnea , Giuseppe Carleo , Alessandro Lovato , Noemi Rocco , Xilin Zhang

Numerically simulating spinful, fermionic systems is of great interest from the perspective of condensed matter physics. However, the exponential growth of the Hilbert space dimension with system size renders an exact parameterization of…

Strongly Correlated Electrons · Physics 2025-09-10 Hannah Lange , Fabian Döschl , Juan Carrasquilla , Annabelle Bohrdt

The ongoing quest for understanding nonequilibrium dynamics of complex quantum systems underpins the foundation of statistical physics as well as the development of quantum technology. Quantum many-body scarring has recently opened a window…

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