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Selected configuration interaction (SCI) methods are currently enjoying a resurgence due to several recent developments which improve either the overall computational efficiency or the compactness of the resulting SCI vector. These recent…

Strongly Correlated Electrons · Physics 2020-12-18 Vibin Abraham , Nicholas J. Mayhall

Many-body simulations of quantum systems is an active field of research that involves many different methods targeting various computing platforms. Many methods commonly employed, particularly coupled cluster methods, have been adapted to…

Chemical Physics · Physics 2023-06-14 David B. Williams-Young , Norm M. Tubman , Carlos Mejuto-Zaera , Wibe A. de Jong

The combinatorial scaling of configuration interaction (CI) has long restricted its applicability to only the simplest molecular systems. Here, we report the first numerically exact CI calculation exceeding one quadrillion ($10^{15}$)…

Chemical Physics · Physics 2025-12-16 Agam Shayit , Can Liao , Shiv Upadhyay , Hang Hu , Tianyuan Zhang , Eugene DePrince , Chao Yang , Xiaosong Li

Recent advances in selected CI, including the adaptive sampling configuration interaction (ASCI) algorithm and its heat bath extension, have made the ASCI approach competitive with the most accurate techniques available, and hence an…

Although selected configuration interaction (SCI) algorithms can tackle much larger Hilbert spaces than the conventional full CI (FCI) method, the scaling of their computational cost with respect to the system size remains inherently…

Chemical Physics · Physics 2024-12-02 Abdallah Ammar , Anthony Scemama , Pierre-François Loos , Emmanuel Giner

The interplay between advances in stochastic and deterministic algorithms has recently led to development of interesting new selected configuration interaction (SCI) methods for solving the many body Schr\"{o}dinger equation. The…

Strongly Correlated Electrons · Physics 2018-08-08 Norm M. Tubman , Daniel S. Levine , Diptarka Hait , Martin Head-Gordon , K. Birgitta Whaley

The task of computing wavefunctions that are accurate, yet simple enough mathematical objects to use for reasoning has long been a challenge in quantum chemistry. The difficulty in drawing physical conclusions from a wavefunction is often…

Chemical Physics · Physics 2024-03-12 Nicole M. Braunscheidel , Arnab Bachhar , Nicholas J. Mayhall

In a recent paper [JCTC, 2020, 16, 6098], we introduced a new approach for accurately approximating full CI ground states in large electronic active-spaces, called Tensor Product Selected CI (TPSCI). In TPSCI, a large orbital active space…

Chemical Physics · Physics 2023-08-07 Nicole M. Braunscheidel , Vibin Abraham , Nicholas J. Mayhall

Selected configuration interaction (sCI) methods including second-order perturbative corrections provide near full CI (FCI) quality energies with only a small fraction of the determinants of the FCI space. Here, we introduce both a…

Chemical Physics · Physics 2018-08-09 Yann Garniron , Anthony Scemama , Emmanuel Giner , Michel Caffarel , Pierre-François Loos

Transition metal complexes present significant challenges for electronic structure theory due to strong electron correlation arising from partially filled $d$-orbitals. We compare our recently developed Tensor Product Selected Configuration…

Chemical Physics · Physics 2025-08-19 Arnab Bachhar , Nicholas J. Mayhall

AI-driven methods have demonstrated considerable success in tackling the central challenge of accurately solving the Schr\"odinger equation for complex many-body systems. Among neural network quantum state (NNQS) approaches, the NNQS-SCI…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-28 Daran Sun , Bowen Kan , Haoquan Long , Hairui Zhao , Haoxu Li , Yicheng Liu , Pengyu Zhou , Ankang Feng , Wenjing Huang , Yida Gu , Zhenyu Li , Honghui Shang , Yunquan Zhang , Dingwen Tao , Ninghui Sun , Guangming Tan

Recently, a new distributed implementation of the full configuration interaction (FCI) method has been reported [Gao et al. J. Chem Theory Comput. 2024, 20, 1185]. Thanks to a hybrid parallelization scheme, the authors were able to compute…

In this work, we develop a mathematical framework for a Selected Configuration Interaction (SCI) algorithm within a bi-orthogonal basis for transcorrelated (TC) calculations. The bi-orthogonal basis used here serves as the equivalent of the…

Chemical Physics · Physics 2023-06-22 Abdallah Ammar , Anthony Scemama , Emmanuel Giner

Electronic resonances are metastable states that can decay by electron loss. They are ubiquitous across various fields of science, such as chemistry, physics, and biology. However, current theoretical and computational models for resonances…

Chemical Physics · Physics 2025-04-15 Yann Damour , Anthony Scemama , Fábris Kossoski , Pierre-François Loos

We present the quantum-selected configuration interaction-tailored coupled-cluster (QSCI-TCC) method, a hybrid quantum-classical scheme that tailors coupled-cluster (CC) theory with a quantum-selected configuration interaction (QSCI) wave…

Chemical Physics · Physics 2025-06-23 Luca Erhart , Yuichiro Yoshida , Wataru Mizukami

The accurate description of electron correlation is a central challenge in computational chemistry, with selected configuration interaction (SCI) emerging as a powerful tool to approach the full CI limit. While recent machine learning (ML)…

Chemical Physics · Physics 2026-05-12 Wan Nie , Songwei Liu , Yingying Yu , Zhiwen Wang , and Jun Yang

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…

Quantum Physics · Physics 2026-05-18 Tim Weaving , Angus Mingare , Alexis Ralli , Peter V. Coveney

Even when starting with a very poor initial guess, the iterative configuration interaction (iCI) approach can converge from above to full CI very quickly by constructing and diagonalizing a small Hamiltonian matrix at each…

Chemical Physics · Physics 2020-01-07 Ning Zhang , Wenjian Liu , Mark R. Hoffmann

Semi-supervised medical image segmentation is an effective method for addressing scenarios with limited labeled data. Existing methods mainly rely on frameworks such as mean teacher and dual-stream consistency learning. These approaches…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Kaiwen Huang , Yizhe Zhang , Yi Zhou , Tianyang Xu , Tao Zhou

To avoid the combinatorial computational cost of configuration interaction (CI), we have previously introduced the symmetric tensor decomposition CI (STD-CI) method, where we take advantage of the antisymmetric nature of the electronic wave…

Chemical Physics · Physics 2015-06-24 Wataru Uemura , Shusuke Kasamatsu , Osamu Sugino
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