Gauging tensor networks with belief propagation
Effectively compressing and optimizing tensor networks requires reliable methods for fixing
the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new …
the latent degrees of freedom of the tensors, known as the gauge. Here we introduce a new …
Optimizing tensor network contraction using reinforcement learning
Quantum Computing (QC) stands to revolutionize computing, but is currently still limited. To
develop and test quantum algorithms today, quantum circuits are often simulated on …
develop and test quantum algorithms today, quantum circuits are often simulated on …
The first-kind flexible tensor SVD: innovations in multi-sensor data fusion processing
High-order tensors, as a powerful tool for representation of higher-order data, have garnered
much attention across various applications including image data, data mining, and big data …
much attention across various applications including image data, data mining, and big data …
Algorithms for tensor network contraction ordering
F Schindler, AS Jermyn - Machine Learning: Science and …, 2020 - iopscience.iop.org
Contracting tensor networks is often computationally demanding. Well-designed contraction
sequences can dramatically reduce the contraction cost. We explore the performance of …
sequences can dramatically reduce the contraction cost. We explore the performance of …
Fast search of the optimal contraction sequence in tensor networks
Tensor network and tensor computation are widely applied in scientific and engineering
domains like quantum physics, electronic design automation, and machine learning. As one …
domains like quantum physics, electronic design automation, and machine learning. As one …
On the optimal linear contraction order of tree tensor networks, and beyond
The contraction cost of a tensor network depends on the contraction order. However, the
optimal contraction ordering problem is known to be NP-hard. We show that the linear …
optimal contraction ordering problem is known to be NP-hard. We show that the linear …
NP-Hardness of Tensor Network Contraction Ordering
We study the optimal order (or sequence) of contracting a tensor network with a minimal
computational cost. We conclude 2 different versions of this optimal sequence: that minimize …
computational cost. We conclude 2 different versions of this optimal sequence: that minimize …
On the Optimal Linear Contraction Order for Tree Tensor Networks
M Stoian - arXiv preprint arXiv:2209.12332, 2022 - arxiv.org
Tensor networks are nowadays the backbone of classical simulations of quantum many-
body systems and quantum circuits. Most tensor methods rely on the fact that we can …
body systems and quantum circuits. Most tensor methods rely on the fact that we can …
Tensor Network Simulations with Global SU (2) Symmetry
P Schmoll - 2020 - openscience.ub.uni-mainz.de
Die theoretische Beschreibung und Untersuchung von Quanten-Vielteilchensystemen ist ein
essentieller Bestandteil der Erforschung von Quantensystemen bei niedrigen Temperaturen …
essentieller Bestandteil der Erforschung von Quantensystemen bei niedrigen Temperaturen …