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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 …
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
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 …
fields of theoretical physics such as condensed matter theory, statistical mechanics …
The ITensor software library for tensor network calculations
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 …
on tensor diagram notation, which allows users to focus on the connectivity of a tensor …
Deep-learning density functional perturbation theory
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 …
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
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 …
is usually achieved by explicitly adding loss terms or constraints on model architectures …
Modern applications of machine learning in quantum sciences
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 …
application of machine learning methods in quantum sciences. We cover the use of deep …
A perspective on sustainable computational chemistry software development and integration
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 …
complex chemical systems has driven the development of computational quantum chemistry …
Decomposition of matrix product states into shallow quantum circuits
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 …
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 advantage. We present classical algorithms based on tensor network methods to …
Quantum state preparation using tensor networks
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 …
of linear systems of equations, Monte Carlo simulations, quantum sampling, and machine …