Tensor networks for interpretable and efficient quantum-inspired machine learning

SJ Ran, G Su - Intelligent Computing, 2023 - spj.science.org
It is a critical challenge to simultaneously achieve high interpretability and high efficiency
with the current schemes of deep machine learning (ML). The tensor network (TN), a well …

Learning ground states of quantum hamiltonians with graph networks

D Kochkov, T Pfaff, A Sanchez-Gonzalez… - arXiv preprint arXiv …, 2021 - arxiv.org
Solving for the lowest energy eigenstate of the many-body Schrodinger equation is a
cornerstone problem that hinders understanding of a variety of quantum phenomena. The …

Entanglement transitions from restricted Boltzmann machines

R Medina, R Vasseur, M Serbyn - Physical Review B, 2021 - APS
The search for novel entangled phases of matter has lead to the recent discovery of a new
class of “entanglement transitions,” exemplified by random tensor networks and monitored …

Boundary and domain wall theories of 2d generalized quantum double model

Z Jia, D Kaszlikowski, S Tan - Journal of High Energy Physics, 2023 - Springer
A bstract The generalized quantum double lattice realization of 2d topological orders based
on Hopf algebras is discussed in this work. Both left-module and right-module constructions …

What Makes Data Suitable for a Locally Connected Neural Network? A Necessary and Sufficient Condition Based on Quantum Entanglement.

N De La Vega, N Razin… - Advances in Neural …, 2024 - proceedings.neurips.cc
The question of what makes a data distribution suitable for deep learning is a fundamental
open problem. Focusing on locally connected neural networks (a prevalent family of …

Deep learning of many-body observables and quantum information scrambling

N Mohseni, J Shi, T Byrnes, MJ Hartmann - Quantum, 2024 - quantum-journal.org
Abstract Machine learning has shown significant breakthroughs in quantum science, where
in particular deep neural networks exhibited remarkable power in modeling quantum many …

Quantum tensor network in machine learning: An application to tiny object classification

F Kong, XY Liu, R Henao - arXiv preprint arXiv:2101.03154, 2021 - arxiv.org
Tiny object classification problem exists in many machine learning applications like medical
imaging or remote sensing, where the object of interest usually occupies a small region of …

Clustering neural quantum states via diffusion maps

Y Teng, S Sachdev, MS Scheurer - Physical Review B, 2023 - APS
We discuss and demonstrate an unsupervised machine-learning procedure to detect
topological order in quantum many-body systems. Using a restricted Boltzmann machine to …

Provable learning of quantum states with graphical models

L Zhao, N Guo, MX Luo, P Rebentrost - arXiv preprint arXiv:2309.09235, 2023 - arxiv.org
The complete learning of an $ n $-qubit quantum state requires samples exponentially in $ n
$. Several works consider subclasses of quantum states that can be learned in polynomial …

Entanglement-structured LSTM boosts chaotic time series forecasting

X Meng, T Yang - Entropy, 2021 - mdpi.com
Traditional machine-learning methods are inefficient in capturing chaos in nonlinear
dynamical systems, especially when the time difference Δ t between consecutive steps is so …