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We propose quantum-selected configuration interaction (QSCI), a class of hybrid quantum-classical algorithms for calculating the ground- and excited-state energies of many-electron Hamiltonians on noisy quantum devices. Suppose that an…

Quantum Physics · Physics 2023-02-23 Keita Kanno , Masaya Kohda , Ryosuke Imai , Sho Koh , Kosuke Mitarai , Wataru Mizukami , Yuya O. Nakagawa

Representing a strongly interacting multi-particle wave function in a finite product basis leads to errors. Simple rescaling of the contact interaction can preserve the low-lying energy spectrum and long-wavelength structure of wave…

Quantum Gases · Physics 2011-08-23 Thomas Ernst , David W. Hallwood , Jake Gulliksen , Hans-Dieter Meyer , Joachim Brand

We present a quantum algorithm for simulating the dynamics of a first-quantized Hamiltonian in real space based on the truncated Taylor series algorithm. We avoid the possibility of singularities by applying various cutoffs to the system…

Quantum Physics · Physics 2017-07-07 Ian D. Kivlichan , Nathan Wiebe , Ryan Babbush , Alan Aspuru-Guzik

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of…

Disordered Systems and Neural Networks · Physics 2022-03-01 Tang-You Huang , Yue Ban , E. Ya. Sherman , Xi Chen

Classical simulation of many-body quantum systems remains economical only when wavefunction amplitudes stay localized in the working basis. Fixed-basis sparse-state simulators scale memory as $\mathcal{O}(k)$ by keeping the largest…

Quantum Physics · Physics 2026-05-27 Ch Nihar Kartikeya , Anjana K , Bijita Sarma , Sangkha Borah

We address the motion planning problem for large multi-agent systems, utilizing Cosserat rod theory to model the dynamic behavior of vehicle formations. The problem is formulated as an optimal control problem over partial differential…

Optimization and Control · Mathematics 2024-06-13 Amirreza Fahim Golestaneh , Maxwell Hammond , Venanzio Cichella

Many-body localization (MBL) is an example of a dynamical phase of matter that avoids thermalization. While the MBL phase is robust to weak local perturbations, the fate of an MBL system coupled to a thermalizing quantum system that…

Disordered Systems and Neural Networks · Physics 2022-07-13 Pietro Brighi , Alexios A. Michailidis , Dmitry A. Abanin , Maksym Serbyn

The input of almost every machine learning algorithm targeting the properties of matter at the atomic scale involves a transformation of the list of Cartesian atomic coordinates into a more symmetric representation. Many of the most popular…

Machine Learning · Statistics 2022-01-11 Alexander Goscinski , Félix Musil , Sergey Pozdnyakov , Michele Ceriotti

Entangled quantum many-body systems can be used as sensors that enable the estimation of parameters with a precision larger than that achievable with ensembles of individual quantum detectors. Typically, the parameter estimation strategy…

Quantum Physics · Physics 2022-12-26 Yue Ban , Jorge Casanova , Ricardo Puebla

We generalize the hidden-fermion family of neural network quantum states to encompass both continuous and discrete degrees of freedom and solve the nuclear many-body Schr\"odinger equation in a systematically improvable fashion. We…

Nuclear Theory · Physics 2022-06-22 A. Lovato , C. Adams , G. Carleo , N. Rocco

While traditionally regarded as an obstacle to quantum coherence, recent breakthroughs in quantum optics have shown that the dissipative interaction of a qubit with its environment can be leveraged to protect quantum states and synthesize…

Quantum Physics · Physics 2025-07-08 Xin Li , Jamir Marino , Darrick E. Chang , Benedetta Flebus

We present an efficient low-rank updating algorithm for updating the trial wavefunctions used in Quantum Monte Carlo (QMC) simulations. The algorithm is based on low-rank updating of the Slater determinants. In particular, the computational…

Materials Science · Physics 2009-06-25 Phani K. V. V. Nukala , P. R. C. Kent

Quantum machine learning with quantum kernels for classification problems is a growing area of research. Recently, quantum kernel alignment techniques that parameterise the kernel have been developed, allowing the kernel to be trained and…

We describe how to use techniques from the field of Machine Learning to direct a variational energy minimization scheme to search for phase boundaries of a quantum many-body system. The modeled physical system presents states of finite…

Quantum Gases · Physics 2020-01-24 Steve Keeling

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…

Slater basis functions have desirable properties that can improve electronic structure simulations, but improved numerical integration methods are needed. This work builds upon the SlaterGPU library for evaluation of Hamiltonian matrix…

Chemical Physics · Physics 2025-10-20 Alexander Stark , Nathan Meier , Jeffrey Hatch , Joshua Kammeraad , Duy-Khoi Dang , Paul Zimmerman

In quantum many-body problems, one of the main difficulties comes from the description of non-negligible interactions which require, at least in principle, an exponential amount of information. Recently, in the context of spin glasses and…

Computational Physics · Physics 2019-02-25 Jean Michel Sellier

Characterizing multipartite quantum systems is crucial for quantum computing and many-body physics. The problem, however, becomes challenging when the system size is large and the properties of interest involve correlations among a large…

Quantum Physics · Physics 2024-04-03 Ya-Dong Wu , Yan Zhu , Yuexuan Wang , Giulio Chiribella

Stimulated by the successful descriptions of strongly correlated electron systems by fractionalized fermions, correspondence between interacting fermions and non-interacting multi-component fermions is formulated in examples of the Hubbard…

Strongly Correlated Electrons · Physics 2024-09-23 Masatoshi Imada

We present a novel approach for efficient preparation of electronic ground states, leveraging the optimizer ExcitationSolve [J\"ager et al., Comm. Phys. (2025)] and established variational quantum eigensolver-based operator selection…

Quantum Physics · Physics 2026-02-13 Max Haas , Thierry N. Kaldenbach , Thomas Hammerschmidt , Daniel Barragan-Yani