Quantum chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

A high-bias, low-variance introduction to machine learning for physicists

P Mehta, M Bukov, CH Wang, AGR Day, C Richardson… - Physics reports, 2019 - Elsevier
Abstract Machine Learning (ML) is one of the most exciting and dynamic areas of modern
research and application. The purpose of this review is to provide an introduction to the core …

Variational quantum Monte Carlo method with a neural-network ansatz for open quantum systems

A Nagy, V Savona - Physical review letters, 2019 - APS
The possibility to simulate the properties of many-body open quantum systems with a large
number of degrees of freedom (dof) is the premise to the solution of several outstanding …

Constructing exact representations of quantum many-body systems with deep neural networks

G Carleo, Y Nomura, M Imada - Nature communications, 2018 - nature.com
Obtaining accurate properties of many-body interacting quantum matter is a long-standing
challenge in theoretical physics and chemistry, rooting into the complexity of the many-body …

Correlation-enhanced neural networks as interpretable variational quantum states

A Valenti, E Greplova, NH Lindner, SD Huber - Physical Review Research, 2022 - APS
Variational methods have proven to be excellent tools to approximate the ground states of
complex many-body Hamiltonians. Generic tools such as neural networks are extremely …

Making trotters sprint: A variational imaginary time ansatz for quantum many-body systems

MJS Beach, RG Melko, T Grover, TH Hsieh - Physical Review B, 2019 - APS
We introduce a variational wave function for many-body ground states that involves
imaginary-time evolution with two different Hamiltonians in an alternating fashion with …

Self-learning projective quantum Monte Carlo simulations guided by restricted Boltzmann machines

S Pilati, EM Inack, P Pieri - Physical Review E, 2019 - APS
The projective quantum Monte Carlo (PQMC) algorithms are among the most powerful
computational techniques to simulate the ground-state properties of quantum many-body …

Boltzmann machines and quantum many-body problems

Y Nomura - Journal of Physics: Condensed Matter, 2023 - iopscience.iop.org
Analyzing quantum many-body problems and elucidating the entangled structure of
quantum states is a significant challenge common to a wide range of fields. Recently, a …

Machine learning quantum states—extensions to fermion–boson coupled systems and excited-state calculations

Y Nomura - Journal of the Physical Society of Japan, 2020 - journals.jps.jp
To analyze quantum many-body Hamiltonians, recently, machine learning techniques have
been shown to be quite useful and powerful. However, the applicability of such machine …

Transforming generalized Ising models into Boltzmann machines

N Yoshioka, Y Akagi, H Katsura - Physical Review E, 2019 - APS
We find an exact mapping from the generalized Ising models with many-spin interactions to
equivalent Boltzmann machines, ie, the models with only two-spin interactions between …