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The sign problem in Full Configuration Interaction Quantum Monte Carlo (FCIQMC) without annihilation can be understood as an instability of the psi-particle population to the ground state of the matrix obtained by making all off-diagonal…

The entanglement entropy probing novel phases and phase transitions numerically via quantum Monte Carlo has made great achievements in large-scale interacting spin/boson systems. In contrast, the numerical exploration in interacting fermion…

统计力学 · 物理学 2025-05-15 Weilun Jiang , Gaopei Pan , Zhe Wang , Bin-Bin Mao , Heng Shen , Zheng Yan

The tunneling decay event of a metastable state in a fully connected quantum spin model can be simulated efficiently by path integral quantum Monte Carlo (QMC) [Isakov $et~al.$, Phys. Rev. Lett. ${\bf 117}$, 180402 (2016).]. This is because…

量子物理 · 物理学 2017-11-01 Zhang Jiang , Vadim N. Smelyanskiy , Sergio Boixo , Hartmut Neven

Contact-implicit trajectory optimization (CITO) is an effective method to plan complex trajectories for various contact-rich systems including manipulation and locomotion. CITO formulates a mathematical program with complementarity…

机器人学 · 计算机科学 2024-07-25 Mengchao Zhang , Devesh K. Jha , Arvind U. Raghunathan , Kris Hauser

We propose a new class of interacting Markov chain Monte Carlo (MCMC) algorithms designed for increasing the efficiency of a modified multiple-try Metropolis (MTM) algorithm. The extension with respect to the existing MCMC literature is…

统计计算 · 统计学 2014-03-19 Roberto Casarin , Radu V. Craiu , Fabrizio Leisen

An iterative configuration interaction (iCI)-based multiconfigurational self-consistent field (SCF) theory, iCISCF, is proposed to handle systems that require large complete active spaces (CAS). The success of iCISCF stems from three…

化学物理 · 物理学 2021-06-21 Yang Guo , Ning Zhang , Yibo Lei , Wenjian Liu

We develop the self-learning Monte Carlo (SLMC) method, a general-purpose numerical method recently introduced to simulate many-body systems, for studying interacting fermion systems. Our method uses a highly-efficient update algorithm,…

强关联电子 · 物理学 2017-06-14 Junwei Liu , Huitao Shen , Yang Qi , Zi Yang Meng , Liang Fu

High-order perturbative $\textit{ab initio}$ calculations are challenging due to the rapidly growing configuration space and the difficulty of assessing convergence. In this letter, we introduce perturbation theory quantum Monte Carlo…

核理论 · 物理学 2026-05-06 Xin Zhen , Rongzhe Hu , Junchen Pei , Furong Xu

A recent direction in quantum computing for molecular electronic structure sees the use of quantum devices as configuration sampling machines integrated within high-performance computing (HPC) platforms. This appeals to the strengths of…

量子物理 · 物理学 2026-05-18 Tim Weaving , Angus Mingare , Alexis Ralli , Peter V. Coveney

The recently proposed many-body expanded full configuration interaction (MBE-FCI) method is extended to excited states and static first-order properties different from total, ground state correlation energies. Results are presented for…

化学物理 · 物理学 2020-10-20 Janus J. Eriksen , Jürgen Gauss

In this paper we propose an extension to the Fuzzy Cognitive Maps (FCMs) that aims at aggregating a number of reasoning tasks into a one parallel run. The described approach consists in replacing real-valued activation levels of concepts…

人工智能 · 计算机科学 2015-12-31 Piotr Szwed

Over the course of the past few decades, the field of computational chemistry has managed to manifest itself as a key complement to more traditional lab-oriented chemistry. This is particularly true in the wake of the recent renaissance of…

化学物理 · 物理学 2018-10-16 Janus J. Eriksen , Jürgen Gauss

We develop a quantum Monte Carlo method to estimate the ground-state energy of a fermionic many-particle system in the configuration-interaction shell model approach. The fermionic sign problem is circumvented by using a guiding wave…

核理论 · 物理学 2015-06-15 Abhishek Mukherjee , Y. Alhassid

The directed-loop quantum Monte Carlo method is generalized to the case of retarded interactions. Using the path integral, fermion-boson or spin-boson models are mapped to actions with retarded interactions by analytically integrating out…

强关联电子 · 物理学 2017-09-06 Manuel Weber , Fakher F. Assaad , Martin Hohenadler

We present the formulation and implementation of the Integral-Screened Configuration-Interaction method (ISCI). The ISCI is a minimal-operational count integral-driven direct Configuration-Interaction (CI) method with a simple and rigorous…

化学物理 · 物理学 2016-09-27 Lasse Kragh Sørensen , Sebastian Bauch , Lars Bojer Madsen

We introduce QC-CBT-AFQMC, a hybrid algorithm that incorporates computational basis tomography (CBT) into the quantum-classical auxiliary-field quantum Monte Carlo (QC-AFQMC) method proposed by Huggins et al. [Nature 603, 416-420 (2022)],…

量子物理 · 物理学 2025-12-30 Viktor Khinevich , Wataru Mizukami

We introduce a Markov Chain Monte Carlo (MCMC) algorithm that dramatically accelerates the simulation of quantum many-body systems, a grand challenge in computational science. State-of-the-art methods for these problems are severely limited…

强关联电子 · 物理学 2025-10-17 Deqian Kong , Shi Feng , Jianwen Xie , Ying Nian Wu

Solving the ground state of quantum many-body systems remains a fundamental challenge in physics and chemistry. Recent advancements in quantum hardware have opened new avenues for addressing this challenge. Inspired by the quantum-enhanced…

量子物理 · 物理学 2025-06-10 Longfei Chang , Zhendong Li , Wei-Hai Fang

Quantum Monte Carlo belongs to the most accurate simulation techniques for quantum many-particle systems. However, for fermions, these simulations are hampered by the sign problem that prohibits simulations in the regime of strong…

计算物理 · 物理学 2020-10-28 A. Yilmaz , K. Hunger , T. Dornheim , S. Groth , M. Bonitz

Modern quantum Monte Carlo (QMC) methods often capture electron correlation through both explicitly correlating Jastrow factors and small to mid-sized configuration interaction (CI) expansions. Here, we study the additional optimization…

化学物理 · 物理学 2023-02-08 Scott M. Garner , Eric Neuscamman