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Tensor Network States are ans\"atze for the efficient description of quantum many-body systems. Their success for one dimensional problems, together with the fact that they do not suffer from the sign problem and can address the simulation…

High Energy Physics - Lattice · Physics 2022-09-21 Mari Carmen Bañuls , Krzysztof Cichy , J. Ignacio Cirac , Karl Jansen , Stefan Kühn

The increasing demand for real-time, low-latency artificial intelligence applications has propelled the use of Field-Programmable Gate Arrays (FPGAs) for Convolutional Neural Network (CNN) implementations. FPGAs offer reconfigurability,…

Hardware Architecture · Computer Science 2025-10-06 Philippe Magalhães , Virginie Fresse , Benoît Suffran , Olivier Alata

We show that protein sequences can be thought of as sentences in natural language processing and can be parsed using the existing Quantum Natural Language framework into parameterized quantum circuits of reasonable qubits, which can be…

By conceiving physical systems as 3D many-body point clouds, geometric graph neural networks (GNNs), such as SE(3)/E(3) equivalent GNNs, have showcased promising performance. In particular, their effective message-passing mechanics make…

Machine Learning · Computer Science 2024-01-30 Weitao Du , Shengchao Liu , Xuecang Zhang

Recurrent neural networks (RNN) such as long-short-term memory (LSTM) networks are essential in a multitude of daily live tasks such as speech, language, video, and multimodal learning. The shift from cloud to edge computation intensifies…

Machine Learning · Computer Science 2020-06-11 Alejandro Murua , Ramchalam Ramakrishnan , Xinlin Li , Rui Heng Yang , Vahid Partovi Nia

The recently introduced locally orderless tensor network (LoTeNet) for supervised image classification uses matrix product state (MPS) operations on grids of transformed image patches. The resulting patch representations are combined back…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Raghavendra Selvan , Silas Ørting , Erik B Dam

This paper examines the use of tensor networks, which can efficiently represent high-dimensional quantum states, in language modeling. It is a distillation and continuation of the work done in (van der Poel, 2023). To do so, we will…

Machine Learning · Computer Science 2024-03-21 Constantijn van der Poel , Dan Zhao

With the tremendous success of deep learning, there exists imminent need to deploy deep learning models onto edge devices. To tackle the limited computing and storage resources in edge devices, model compression techniques have been widely…

Machine Learning · Computer Science 2020-10-20 Sung-En Chang , Yanyu Li , Mengshu Sun , Weiwen Jiang , Runbin Shi , Xue Lin , Yanzhi Wang

Deep neural networks ( DNNs ) are becoming a key enabling technology for many application domains. However, on-device inference on battery-powered, resource-constrained embedding systems is often infeasible due to prohibitively long…

Machine Learning · Computer Science 2019-11-13 Vicent Sanz Marco , Ben Taylor , Zheng Wang , Yehia Elkhatib

The interplay of quantum and classical simulation and the delicate divide between them is in the focus of massively parallelized tensor network state (TNS) algorithms designed for high performance computing (HPC). In this contribution, we…

Quantum Physics · Physics 2023-05-10 Andor Menczer , Örs Legeza

Tensor networks are a compressed format for multi-dimensional data. One-dimensional tensor networks -- often referred to as tensor trains (TT) or matrix product states (MPS) -- are increasingly being used as a numerical ansatz for continuum…

Quantum Physics · Physics 2025-12-09 Joseph Tindall , E. Miles Stoudenmire , Ryan Levy

CNNs have been shown to maintain reasonable classification accuracy when quantized to lower precisions. Quantizing to sub 8-bit activations and weights can result in accuracy falling below an acceptable threshold. Techniques exist for…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-02 Philip Colangelo , Nasibeh Nasiri , Asit Mishra , Eriko Nurvitadhi , Martin Margala , Kevin Nealis

Tensor networks are efficient representations of high-dimensional tensors with widespread applications in quantum many-body physics. Recently, they have been adapted to the field of machine learning, giving rise to an emergent research…

Quantum Physics · Physics 2023-01-11 Zidu Liu , Li-Wei Yu , L. -M. Duan , Dong-Ling Deng

The hybrid tensor network (HTN) method is a general framework allowing for the construction of an effective wavefunction with the combination of classical tensors and quantum tensors, i.e., amplitudes of quantum states. In particular,…

Quantum Physics · Physics 2025-08-08 Hiroyuki Harada , Yasunari Suzuki , Bo Yang , Yuuki Tokunaga , Suguru Endo

Tensor network states are an indispensable tool for the simulation of strongly correlated quantum many-body systems. In recent years, tree tensor network states (TTNS) have been successfully used for two-dimensional systems and to benchmark…

Quantum Physics · Physics 2026-01-23 Thomas Barthel

Deep neural networks (DNN) have achieved remarkable success in computer vision (CV). However, training and inference of DNN models are both memory and computation intensive, incurring significant overhead in terms of energy consumption and…

Computer Vision and Pattern Recognition · Computer Science 2021-05-26 Tao Luo , Wai Teng Tang , Matthew Kay Fei Lee , Chuping Qu , Weng-Fai Wong , Rick Goh

We present an algorithm for supervised learning using tensor networks, employing a step of preprocessing the data by coarse-graining through a sequence of wavelet transformations. We represent these transformations as a set of tensor…

Machine Learning · Statistics 2020-01-24 Justin Reyes , Miles Stoudenmire

We propose a restricted class of tensor network state, built from number-state preserving tensors, for supervised learning tasks. This class of tensor network is argued to be a natural choice for classifiers as (i) they map classical data…

Quantum Physics · Physics 2019-05-17 Glen Evenbly

Embedded Field-Programmable Gate Arrays (eFPGAs) allow for the design of hardware accelerators of edge Machine Learning (ML) applications at a lower power budget compared with traditional FPGA platforms. However, the limited eFPGA logic and…

Hardware Architecture · Computer Science 2025-02-13 Tousif Rahman , Gang Mao , Bob Pattison , Sidharth Maheshwari , Marcos Sartori , Adrian Wheeldon , Rishad Shafik , Alex Yakovlev

The groundbreaking performance of deep neural networks (NNs) promoted a surge of interest in providing a mathematical basis to deep learning theory. Low-rank tensor decompositions are specially befitting for this task due to their close…

Machine Learning · Computer Science 2025-12-18 Ricardo Borsoi , Konstantin Usevich , Marianne Clausel