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Quantum Phase Estimation (QPE) stands as a pivotal quantum computing subroutine that necessitates an inverse Quantum Fourier Transform (QFT). However, it is imperative to recognize that enhancing the precision of the estimation inevitably…

量子物理 · 物理学 2023-11-09 Chen-Yu Liu , Chu-Hsuan Abraham Lin , Kuan-Cheng Chen

Particle-based kinetic Monte Carlo simulations of neutral particles is one of the major computational bottlenecks in tokamak scrape-off layer simulations. This computational cost comes from the need to resolve individual collision events in…

计算工程、金融与科学 · 计算机科学 2026-03-27 Oskar Lappi , Emil Løvbak , Thijs Steel , Giovanni Samaey

Many-electron problems pose some of the greatest challenges in computational science, with important applications across many fields of modern science. Fermionic quantum Monte Carlo (QMC) methods are among the most powerful approaches to…

We assess numerical stabilization methods employed in fermion many-body quantum Monte Carlo simulations. In particular, we empirically compare various matrix decomposition and inversion schemes to gain control over numerical instabilities…

计算物理 · 物理学 2020-07-14 Carsten Bauer

QMCPACK has enabled cutting-edge materials research on supercomputers for over a decade. It scales nearly ideally but has low single-node efficiency due to the physics-based abstractions using array-of-structures objects, causing…

分布式、并行与集群计算 · 计算机科学 2017-08-10 Amrita Mathuriya , Ye Luo , Raymond C. Clay , Anouar Benali , Luke Shulenburger , Jeongnim Kim

Quantum impurity solvers have a broad range of applications in theoretical studies of strongly correlated electron systems. Especially, they play a key role in dynamical mean-field theory calculations of correlated lattice models and…

强关联电子 · 物理学 2015-06-23 Li Huang , Yilin Wang , Zi Yang Meng , Liang Du , Philipp Werner , Xi Dai

Various strategies to implement efficiently QMC simulations for large chemical systems are presented. These include: i.) the introduction of an efficient algorithm to calculate the computationally expensive Slater matrices. This novel…

性能 · 计算机科学 2019-05-28 Anthony Scemama , Michel Caffarel , Emmanuel Oseret , William Jalby

Imaginary Time Evolution (QITE) approximates this evolution on quantum hardware but suffers from high circuit depth and numerous measurements. In this work we introduce Adaptive-time Compressed QITE (ACQ), a novel algorithm that reduces…

In simple ferromagnetic quantum Ising models characterized by an effective double-well energy landscape the characteristic tunneling time of path-integral Monte Carlo (PIMC) simulations has been shown to scale as the incoherent…

统计力学 · 物理学 2018-03-13 E. M. Inack , G. Giudici , T. Parolini , G. Santoro , S. Pilati

Quantum Monte Carlo (QMC) methods are powerful approaches for solving electronic structure problems. Although they often provide high-accuracy solutions, the precision of most QMC methods is ultimately limited by a trial wave function that…

量子物理 · 物理学 2025-03-13 Nick S. Blunt , Laura Caune , Javiera Quiroz-Fernandez

We assess the utility of Hartree-Fock (HF) trial wavefunctions in performing phaseless auxiliary-field quantum Monte Carlo (ph-AFQMC) on the uniform electron gas (UEG) model. The combination of ph-AFQMC with spin-restricted HF…

化学物理 · 物理学 2019-08-20 Joonho Lee , Fionn D. Malone , Miguel A. Morales

Quantum computing is a promising way to systematically solve the longstanding computational problem, the ground state of a many-body fermion system. Many efforts have been made to realise certain forms of quantum advantage in this problem,…

量子物理 · 物理学 2023-08-09 Xiaosi Xu , Ying Li

In this paper, we present a very fast Monte Carlo scheme for additive processes: the computational time is of the same order of magnitude of standard algorithms for Brownian motions. We analyze in detail numerical error sources and propose…

计算金融 · 定量金融 2023-07-17 Michele Azzone , Roberto Baviera

We engineer a new probabilistic Monte-Carlo algorithm for isomorphism testing. Most notably, as opposed to all other solvers, it implicitly exploits the presence of symmetries without explicitly computing them. We provide extensive…

数据结构与算法 · 计算机科学 2020-11-19 Markus Anders , Pascal Schweitzer

Residual entropy, which reflects the degrees of freedom in a system at absolute zero temperature, is crucial for understanding quantum and classical ground states. Despite its key role in explaining low-temperature phenomena and ground…

统计力学 · 物理学 2025-02-20 Zenan Dai , Xiao Yan Xu

Cutting edge classical computing today relies on a combination of CPU-based computing with a strong reliance on accelerators. In particular, high-performance computing (HPC) and machine learning (ML) rely heavily on acceleration via GPUs…

量子物理 · 物理学 2026-03-11 Atulya Mahesh , Swastik Mittal , Frank Mueller

We present efficient solutions of recently developed potential integral equations (PIEs) using a low-frequency implementation of the multilevel fast multipole algorithm (MLFMA). PIEs enable accurate solutions of low-frequency problems…

计算物理 · 物理学 2018-06-13 Ugur Meric Gur , Ozgur Ergul

We present peapods (github.com/PeaBrane/peapods), an open-source Python package for Monte Carlo simulation of Ising spin systems with arbitrary coupling constants on periodic Bravais lattices with user-specified neighbor offsets. The…

统计力学 · 物理学 2026-03-05 Yan Ru Pei

We present ComCTQMC, a GPU accelerated quantum impurity solver. It uses the continuous-time quantum Monte Carlo (CTQMC) algorithm wherein the partition function is expanded in terms of the hybridisation function (CT-HYB). ComCTQMC supports…

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