Tensor network algorithms: A route map

MC Bañuls - Annual Review of Condensed Matter Physics, 2023 - annualreviews.org
Tensor networks provide extremely powerful tools for the study of complex classical and
quantum many-body problems. Over the past two decades, the increment in the number of …

Developments in the tensor network—from statistical mechanics to quantum entanglement

K Okunishi, T Nishino, H Ueda - Journal of the Physical Society of …, 2022 - journals.jps.jp
Tensor networks (TNs) have become one of the most essential building blocks for various
fields of theoretical physics such as condensed matter theory, statistical mechanics …

The ITensor software library for tensor network calculations

M Fishman, S White, EM Stoudenmire - SciPost Physics Codebases, 2022 - scipost.org
ITensor is a system for programming tensor network calculations with an interface modeled
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …

Deep-learning density functional perturbation theory

H Li, Z Tang, J Fu, WH Dong, N Zou, X Gong, W Duan… - Physical Review Letters, 2024 - APS
Calculating perturbation response properties of materials from first principles provides a vital
link between theory and experiment, but is bottlenecked by the high computational cost …

Kohn-Sham equations as regularizer: Building prior knowledge into machine-learned physics

L Li, S Hoyer, R Pederson, R Sun, ED Cubuk, P Riley… - Physical review …, 2021 - APS
Including prior knowledge is important for effective machine learning models in physics and
is usually achieved by explicitly adding loss terms or constraints on model architectures …

Modern applications of machine learning in quantum sciences

A Dawid, J Arnold, B Requena, A Gresch… - arxiv preprint arxiv …, 2022 - arxiv.org
In this book, we provide a comprehensive introduction to the most recent advances in the
application of machine learning methods in quantum sciences. We cover the use of deep …

A perspective on sustainable computational chemistry software development and integration

R Di Felice, ML Mayes, RM Richard… - Journal of chemical …, 2023 - ACS Publications
The power of quantum chemistry to predict the ground and excited state properties of
complex chemical systems has driven the development of computational quantum chemistry …

Decomposition of matrix product states into shallow quantum circuits

MS Rudolph, J Chen, J Miller, A Acharya… - Quantum Science …, 2023 - iopscience.iop.org
Tensor networks (TNs) are a family of computational methods built on graph-structured
factorizations of large tensors, which have long represented state-of-the-art methods for the …

Classically optimized Hamiltonian simulation

C Mc Keever, M Lubasch - Physical review research, 2023 - APS
Hamiltonian simulation is a promising application for quantum computers to achieve a
quantum advantage. We present classical algorithms based on tensor network methods to …

Quantum state preparation using tensor networks

AA Melnikov, AA Termanova, SV Dolgov… - Quantum Science …, 2023 - iopscience.iop.org
Quantum state preparation is a vital routine in many quantum algorithms, including solution
of linear systems of equations, Monte Carlo simulations, quantum sampling, and machine …