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Learning latent representations from complex data is central to modern machine learning, spanning temporal, multimodal, and partially observed systems. In such settings, representations are better understood as latent states capturing…

机器学习 · 计算机科学 2026-05-18 Gwenolé Quellec

Multireference density functional theory (MR-DFT) provides a pivotal microscopic framework for the description of the ground state properties, low-lying nuclear spectra and transition properties of atomic nuclei. Conventionally, practical…

核理论 · 物理学 2026-05-05 Xin. Zhang , Kouichi. Hagino

We present a spin-free, size-extensive, and size-consistent coupled cluster method based on a generalised normal ordered exponential ansatz. This approach is a natural generalisation of single-reference coupled cluster theory for arbitrary…

化学物理 · 物理学 2025-07-21 Nicholas Lee , David P. Tew

Arguably the most widely used approaches for obtaining highly accurate molecular ground-state energies are coupled cluster methods. Despite introducing two layers of approximation, a linear and a nonlinear one, coupled cluster methods…

数值分析 · 数学 2026-05-22 Jonas Beck , Benjamin Stamm

A unitary coupled-cluster (UCC)-based self-consistent electron propagator theory (EPT) is proposed for the description of electron-detached and electron-attached states. Two practical schemes, termed IP/EA-UCC3 and IP/EA-qUCCSD, are…

化学物理 · 物理学 2026-03-03 Yu Zhang , Junzi Liu

We extend the definition of generalized parity $P$, charge-conjugation $C$ and time-reversal $T$ operators to nondiagonalizable pseudo-Hermitian Hamiltonians, and we use these generalized operators to describe the full set of symmetries of…

量子物理 · 物理学 2009-11-10 A. Blasi , G. Scolarici , L. Solombrino

A one-way quantum computer works by only performing a sequence of one-qubit measurements on a particular entangled multi-qubit state, the cluster state. No non-local operations are required in the process of computation. Any quantum logic…

量子物理 · 物理学 2023-11-11 Robert Raussendorf , Daniel E. Browne , Hans J. Briegel

A model subspace configuration interaction method is developed to obtain chemically accurate electron correlations by diagonalising a very compact effective Hamiltonian of realistic molecule. The construction of the effective Hamiltonian is…

化学物理 · 物理学 2022-10-18 Jiasheng Li , Jun Yang

We consider evaluation of matrix elements with the coupled-cluster method. Such calculations formally involve infinite number of terms and we devise a method of partial summation (dressing) of the resulting series. Our formalism is built…

原子物理 · 物理学 2009-11-10 Andrei Derevianko , Sergey Porsev

A general quantum many-body theory in configuration space is developed by extending the traditional coupled cluter method (CCM) to a variational formalism. Two independent sets of distribution functions are introduced to evaluate the…

强关联电子 · 物理学 2009-11-07 Y. Xian

In this work we present an extension of the popular selected configuration interaction (SCI) algorithms to the Transcorrelated (TC) framework. Although we used in this work the recently introduced one-parameter correlation factor [E. Giner,…

强关联电子 · 物理学 2022-10-19 Abdallah Ammar , Anthony Scemama , Emmanuel Giner

A diagonalizable non-Hermitian Hamiltonian having a real spectrum may be used to define a unitary quantum system, if one modifies the inner product of the Hilbert space properly. We give a comprehensive and essentially self-contained review…

量子物理 · 物理学 2015-05-13 Ali Mostafazadeh

This paper proposes an intrinsic or background-independent quantum framework based on entangled state rather than absolute quantum state, it describes a quantum relative state between the under-study quantum system and the quantum measuring…

量子物理 · 物理学 2026-03-13 M. J. Luo

A brief overview is given of recent developments and fresh ideas at the intersection of PT and/or CPT-symmetric quantum mechanics with supersymmetric quantum mechanics (SUSY QM). We study the consequences of the assumption that the "charge"…

高能物理 - 理论 · 物理学 2009-11-10 B. Bagchi , A. Banerjee , E. Caliceti , F. Cannata , H. B. Geyer , C. Quesne , M. Znojil

We reveal limitations of several standard coupled-cluster (CC) methods with perturbation-theorybased noniterative or approximate iterative treatments of triple excitations when applied to thedetermination of highly accurate potential energy…

化学物理 · 物理学 2021-10-04 Jan Schnabel , Lan Cheng , Andreas Köhn

Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

机器学习 · 计算机科学 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

This paper examines the features of a generalized position-dependent mass Hamiltonian in a supersymmetric framework in which the constraints of pseudo-Hermiticity and CPT are naturally embedded. Different representations of the charge…

量子物理 · 物理学 2013-02-27 B. Bagchi , A. Banerjee , A. Ganguly

Classical simulation of quantum physics is a central approach to investigating physical phenomena. Quantum computers enhance computational capabilities beyond those of classical resources, but it remains unclear to what extent existing…

量子物理 · 物理学 2025-01-28 Adrián Pérez-Salinas , Patrick Emonts , Jordi Tura , Vedran Dunjko

We review the basics of the coupled-cluster expansion formalism for numerical solutions of the many-body problem, and we outline the principles of an approach directed towards an adequate inclusion of continuum effects in the associated…

核理论 · 物理学 2009-11-10 Bogdan Mihaila

The controller state and reference governor (CSRG) is an add-on scheme for nominal closed-loop systems with dynamic controllers which supervises the controller internal state and the reference input to the closed-loop system to enforce…

系统与控制 · 电气工程与系统科学 2020-10-06 Nan Li , Anouck Girard , Ilya Kolmanovsky