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Over the past decade, the Python-based Simulations of Chemistry Framework (PySCF) has developed into a widely used open-source platform for electronic structure theory and quantum chemical method development. This article reviews the major…

Chemical Physics · Physics 2026-04-09 Qiming Sun , Matthew R Hermes , Xiaojie Wu , Huanchen Zhai , Xing Zhang , Abdelrahman M. Ahmed , Juan José Aucar , Oliver J. Backhouse , Samragni Banerjee , Peng Bao , Nikolay A. Bogdanov , Kyle Bystrom , Frédéric Chapoton , Ning-Yuan Chen , Ivan Yu. Chernyshov , Helen S. Clifford , Sander Cohen-Janes , Zhi-Hao Cui , Yann D. Damour , Nike Dattani , Linus Bjarne Dittmer , Sebastian Ehlert , Janus Juul Eriksen , Francesco A. Evangelista , Simon A. Ewing , Ardavan Farahvash , Kevin Focke , Yang Gao , Kevin E. Gasperich , Nathan Gillispie , Jonas Greiner , Matthew R. Hennefarth , Jan Hermann , Christopher Hillenbrand , Joonatan Huhtasalo , Basil Ibrahim , Bhavnesh Jangid , Alireza Nejati Javaremi , Andrew J. Jenkins , Yu Jin , Daniel S. King , Derk Pieter Kooi , Jo S. Kurian , Henrik R. Larsson , Bryan Tak Gwong Lau , Seunghoon Lee , Susi Lehtola , Chenghan Li , Hao Li , Jiachen Li , Rui Li , Shuhang Li , Aleksandr O. Lykhin , Ankit Mahajan , Nastasia Mauger , Pablo del Mazo-Sevillano , Jonathan Moussa , Kousuke Nakano , Verena A. Neufeld , Linqing Peng , Hung Q. Pham , Peter Pinski , Pavel Pokhilko , Zhichen Pu , Yubing Qian , Stephen Jon Quiton , Wanja T. Schulze , Thais R. Scott , Aniruddha Seal , James D. Serna , James E. T. Smith , Kori E. Smyser , Terrence Stahl , Chong Sun , Kevin J. Sung , Egor Trushin , Shiv Upadhyay , Ethan A. Vo , Thijs Vogels , Shirong Wang , Tai Wang , Xiao Wang , Xubo Wang , Yuanheng Wang , Mark Williamson , Junjie Yang , Hong-Zhou Ye , Chia-Nan Yeh , Haiyang Yu , Jincheng Yu , Victor Wen-zhe Yu , Chaoqun Zhang , Dayou Zhang , Yichi Zhang , Zijun Zhao , Zehao Zhou , Andrew J. Zhu , Tianyu Zhu , Timothy C. Berkelbach , Laura Gagliardi , Sandeep Sharma , Alexander Sokolov , Garnet Kin-Lic Chan

The unitary coupled cluster (UCC) approximation is one of the more promising wave-function ans\"atze for electronic structure calculations on quantum computers via the variational quantum eigensolver algorithm. However, for large systems…

Quantum Physics · Physics 2021-09-30 Jia Chen , Hai-Ping Cheng , James K. Freericks

We use the benefits and components of classical computers every day. However, there are many types of problems which, as they grow in size, their computational complexity grows larger than classical computers will ever be able to solve.…

Quantum computing, an innovative computing system carrying prominent processing rate, is meant to be the solutions to problems in many fields. Among these realms, the most intuitive application is to help chemical researchers correctly…

Quantum Physics · Physics 2022-12-29 Qingchun Wang , Huan-Yu Liu , Qing-Song Li , Jianyu Zhao , Qiankun Gong , Ye Li , Yu-Chun Wu , Guo-Ping Guo

A diffusion probabilistic model (DPM) is a generative model renowned for its ability to produce high-quality outputs in tasks such as image and audio generation. However, training DPMs on large, high-dimensional datasets such as…

Quantum Physics · Physics 2025-11-05 Yunfei Wang , Ruoxi Jiang , Yingda Fan , Xiaowei Jia , Jens Eisert , Junyu Liu , Jin-Peng Liu

Kernel methods have proven to be powerful techniques for pattern analysis and machine learning (ML) in a variety of domains. However, many of their original or advanced implementations remain in Matlab. With the incredible rise and adoption…

Machine Learning · Computer Science 2020-05-28 Pradeep Reddy Raamana

We study cluster perturbation theory [Phys. Rev. Lett. \textbf{84}, 522 (2000)] when auxiliary field quantum Monte Carlo method is used for solving the cluster hamiltonian. As a case study, we calculate the spectral functions of the Hubbard…

Strongly Correlated Electrons · Physics 2007-05-23 Fei Lin , Erik S. Sorensen , Catherine Kallin , A. John Berlinsky

Quantum circuits constructed from Josephson junctions and superconducting electronics are key to many quantum computing and quantum optics applications. Designing these circuits involves calculating the Hamiltonian describing their quantum…

Quantum Physics · Physics 2020-02-05 Mario F. Gely , Gary A. Steele

Computing accurate yet efficient approximations to the solutions of the electronic Schr\"odinger equation has been a paramount challenge of computational chemistry for decades. Quantum Monte Carlo methods are a promising avenue of…

Chemical Physics · Physics 2023-09-25 Zeno Schätzle , Bernát Szabó , Matĕj Mezera , Jan Hermann , Frank Noé

While quantum computing provides an exponential advantage in solving system of linear equations, there is little work to solve system of nonlinear equations with quantum computing. We propose quantum Newton's method (QNM) for solving…

Quantum Physics · Physics 2025-12-29 Cheng Xue , Yu-Chun Wu , Guo-Ping Guo

Quantum computing is a promising paradigm based on quantum theory for performing fast computations. Quantum algorithms are expected to surpass their classical counterparts in terms of computational complexity for certain tasks, including…

This paper presents the latest improvements introduced in Version 4 of the UQpy, Uncertainty Quantification with Python, library. In the latest version, the code was restructured to conform with the latest Python coding conventions,…

The one-way quantum computer (QCc) is a universal scheme of quantum computation consisting only of one-qubit measurements on a particular entangled multi-qubit state, the cluster state. The computational model underlying the QCc is…

Quantum Physics · Physics 2007-05-23 R. Raussendorf , H. J. Briegel

We propose the QHyper library, which is aimed at researchers working on computational experiments with a variety of quantum combinatorial optimization solvers. The library offers a simple and extensible interface for formulating…

Mathematical Software · Computer Science 2024-09-25 Tomasz Lamża , Justyna Zawalska , Kacper Jurek , Mariusz Sterzel , Katarzyna Rycerz

We present a next-generation version of EDIpack, a flexible, high-performance numerical library using Lanczos-based exact diagonalization to solve generic quantum impurity problems, such as those introduced in Dynamical Mean-Field Theory to…

Quantum computing (QC) has gained popularity due to its unique capabilities that are quite different from that of classical computers in terms of speed and methods of operations. This paper proposes hybrid models and methods that…

Quantum Physics · Physics 2019-11-12 Akshay Ajagekar , Travis Humble , Fengqi You

We introduce the ParClusterers Benchmark Suite (PCBS) -- a collection of highly scalable parallel graph clustering algorithms and benchmarking tools that streamline comparing different graph clustering algorithms and implementations. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Shangdi Yu , Jessica Shi , Jamison Meindl , David Eisenstat , Xiaoen Ju , Sasan Tavakkol , Laxman Dhulipala , Jakub Łącki , Vahab Mirrokni , Julian Shun

Here we present a quantum algorithm for clustering data based on a variational quantum circuit. The algorithm allows to classify data into many clusters, and can easily be implemented in few-qubit Noisy Intermediate-Scale Quantum (NISQ)…

Quantum Physics · Physics 2024-01-08 Pablo Bermejo , Roman Orus

The Python package pylimer-tools is a comprehensive toolkit for computational studies of polymer networks, particularly bead-spring networks. The package provides functionality to generate polymer networks using Monte Carlo (MC) procedures…

Soft Condensed Matter · Physics 2025-08-18 Tim Bernhard , Fabian Schwarz , Andrei A. Gusev

As wide-field surveys yield ever more precise measurements, cosmology has entered a phase of high precision requiring highly accurate and fast theoretical predictions. At the heart of most cosmological model predictions is a numerical…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-18 Alexandre Refregier , Lukas Gamper , Adam Amara , Lavinia Heisenberg