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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 network without manually bookkeeping tensor indices. The…

Mathematical Software · Computer Science 2023-03-07 Matthew Fishman , Steven R. White , E. Miles Stoudenmire

TensorFlow is an interface for expressing machine learning algorithms, and an implementation for executing such algorithms. A computation expressed using TensorFlow can be executed with little or no change on a wide variety of heterogeneous…

Tensor networks are a popular and computationally efficient approach to simulate general quantum systems on classical computers and, in a broader sense, a framework for dealing with high-dimensional numerical problems. This paper presents a…

Quantum Physics · Physics 2024-12-30 Marcos Díez García , Antonio Márquez Romero

The tensor cross interpolation (TCI) algorithm is a rank-revealing algorithm for decomposing low-rank, high-dimensional tensors into tensor trains/matrix product states (MPS). TCI learns a compact MPS representation of the entire object…

Large-scale tensor network simulations are crucial for developing robust complexity-theoretic bounds on classical quantum simulation, enabling circuit cutting approaches, and optimizing circuit compilation, all of which aid efficient…

Quantum Physics · Physics 2026-01-09 Aaron C. Hoyt , Jonathan S. Bersson , Sean Garner , Chenxu Liu , Ang Li

TensorCircuit is an open source quantum circuit simulator based on tensor network contraction, designed for speed, flexibility and code efficiency. Written purely in Python, and built on top of industry-standard machine learning frameworks,…

Numerical tensor calculus comprise basic tensor operations such as the entrywise addition and contraction of higher-order tensors. We present, TLib, flexible tensor framework with generic tensor functions and tensor classes that assists…

Mathematical Software · Computer Science 2017-11-30 Cem Bassoy

Tensor networks (TNs) and neural networks (NNs) are two fundamental data modeling approaches. TNs were introduced to solve the curse of dimensionality in large-scale tensors by converting an exponential number of dimensions to polynomial…

Machine Learning · Computer Science 2025-03-18 Maolin Wang , Yu Pan , Zenglin Xu , Guangxi Li , Xiangli Yang , Danilo Mandic , Andrzej Cichocki

Deploying deep learning models on various devices has become an important topic. The wave of hardware specialization brings a diverse set of acceleration primitives for multi-dimensional tensor computations. These new acceleration…

Machine Learning · Computer Science 2022-10-31 Siyuan Feng , Bohan Hou , Hongyi Jin , Wuwei Lin , Junru Shao , Ruihang Lai , Zihao Ye , Lianmin Zheng , Cody Hao Yu , Yong Yu , Tianqi Chen

We present TTC, an open-source parallel compiler for multidimensional tensor transpositions. In order to generate high-performance C++ code, TTC explores a number of optimizations, including software prefetching, blocking, loop-reordering,…

Mathematical Software · Computer Science 2016-03-09 Paul Springer , Jeff R. Hammond , Paolo Bientinesi

TensorNetwork is an open source library for implementing tensor network algorithms. Tensor networks are sparse data structures originally designed for simulating quantum many-body physics, but are currently also applied in a number of other…

The evolution of architectures, programming models, and algorithms is driving communication towards greater asynchrony and concurrency, usually in multithreaded environments. We present LCI, a communication library designed for efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-26 Jiakun Yan , Marc Snir

TensorNetwork is an open source library for implementing tensor network algorithms in TensorFlow. We describe a tree tensor network (TTN) algorithm for approximating the ground state of either a periodic quantum spin chain (1D) or a lattice…

Strongly Correlated Electrons · Physics 2019-05-07 Ashley Milsted , Martin Ganahl , Stefan Leichenauer , Jack Hidary , Guifre Vidal

We present TensorCircuit-NG, a next-generation quantum software platform designed to bridge the gap between quantum physics, artificial intelligence, and high-performance computing. Moving beyond the scope of traditional circuit simulators,…

In the rapidly evolving field of quantum computing, tensor networks serve as an important tool due to their multifaceted utility. In this paper, we review the diverse applications of tensor networks and show that they are an important…

TensorFlow is an open-source framework for deep learning dataflow and contains application programming interfaces (APIs) of voice analysis, natural language process, and computer vision. Especially, TensorFlow object detection API in…

Image and Video Processing · Electrical Eng. & Systems 2020-06-12 Heemoon Yoon , Sang-Hee Lee , Mira Park

It is a critical challenge to simultaneously gain high interpretability and efficiency with the current schemes of deep machine learning (ML). Tensor network (TN), which is a well-established mathematical tool originating from quantum…

Quantum Physics · Physics 2023-11-21 Shi-Ju Ran , Gang Su

This book serves as an introductory yet thorough guide to tensor networks and their applications in quantum computation and quantum information, designed for advanced undergraduate and graduate-level readers. In Part I, foundational topics…

Quantum Physics · Physics 2025-03-07 Mario Collura , Guglielmo Lami , Nishan Ranabhat , Alessandro Santini

Asynchronous Many-Task Systems (AMTs) exhibit different communication patterns from traditional High-Performance Computing (HPC) applications, characterized by asynchrony, concurrency, and multithreading. Existing communication libraries…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-20 Jiakun Yan , Marc Snir

We introduce a tensor network library designed for classical and quantum physics simulations called Cytnx (pronounced as sci-tens). This library provides almost an identical interface and syntax for both C++ and Python, allowing users to…

Mathematical Software · Computer Science 2025-03-19 Kai-Hsin Wu , Chang-Teng Lin , Ke Hsu , Hao-Ti Hung , Manuel Schneider , Chia-Min Chung , Ying-Jer Kao , Pochung Chen
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