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 …
Review on novel methods for lattice gauge theories
MC Banuls, K Cichy - Reports on Progress in Physics, 2020 - iopscience.iop.org
Formulating gauge theories on a lattice offers a genuinely non-perturbative way of studying
quantum field theories, and has led to impressive achievements. In particular, it significantly …
quantum field theories, and has led to impressive achievements. In particular, it significantly …
Contracting projected entangled pair states is average-case hard
An accurate calculation of the properties of quantum many-body systems is one of the most
important yet intricate challenges of modern physics and computer science. In recent years …
important yet intricate challenges of modern physics and computer science. In recent years …
Tangent-space gradient optimization of tensor network for machine learning
The gradient-based optimization method for deep machine learning models suffers from
gradient vanishing and exploding problems, particularly when the computational graph …
gradient vanishing and exploding problems, particularly when the computational graph …
Fine grained tensor network methods
P Schmoll, SS Jahromi, M Hörmann, M Mühlhauser… - Physical Review Letters, 2020 - APS
We develop a strategy for tensor network algorithms that allows to deal very efficiently with
lattices of high connectivity. The basic idea is to fine grain the physical degrees of freedom …
lattices of high connectivity. The basic idea is to fine grain the physical degrees of freedom …
Thermal features of Heisenberg antiferromagnets on edge-versus corner-sharing triangular-based lattices: a message from spin waves
S Yamamoto, J Ohara - Journal of Physics Communications, 2023 - iopscience.iop.org
We propose a new scheme of modifying spin waves so as to describe the thermodynamic
properties of various noncollinear antiferromagnets with particular interest in a comparison …
properties of various noncollinear antiferromagnets with particular interest in a comparison …
Study of tensor network applications in complex networks
FSS Costa - 2022 - repositorio.ul.pt
Many-body quantum problems are still very complex to solve and today's solutions do not
take into account that the objects of the systems are entangled with each other. By using …
take into account that the objects of the systems are entangled with each other. By using …