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Optimized quantum control can enhance the performance and noise resilience of quantum metrology. However, the optimization quickly becomes intractable when multiple control operations are applied sequentially. In this work, we propose…

Quantum Physics · Physics 2024-12-19 Qiushi Liu , Yuxiang Yang

Tensor analytics lays mathematical basis for the prosperous promotion of multiway signal processing. To increase computing throughput, mainstream processors transform tensor convolutions to matrix multiplications to enhance parallelism of…

Emerging Technologies · Computer Science 2023-01-11 Shaofu Xu , Jing Wang , Sicheng Yi , Weiwen Zou

Ternary quantization has emerged as a powerful technique for reducing both computational and memory footprint of large language models (LLM), enabling efficient real-time inference deployment without significantly compromising model…

Hardware Architecture · Computer Science 2025-09-18 Zhirui Huang , Rui Ma , Shijie Cao , Ran Shu , Ian Wang , Ting Cao , Chixiao Chen , Yongqiang Xiong

Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the last two decades, the increment in the number of techniques and applications has been relentless, and especially…

Quantum Physics · Physics 2023-03-29 Mari Carmen Bañuls

The efficient simulation of complex quantum systems remains a central challenge due to the exponential growth of Hilbert space with system size. Tensor network methods have long been established as powerful approximation schemes, and their…

Computational Physics · Physics 2026-03-16 Min Chen , Minzhao Liu , Changhun Oh , Liang Jiang , Yuri Alexeev , Junyu Liu

TensorDash is a hardware level technique for enabling data-parallel MAC units to take advantage of sparsity in their input operand streams. When used to compose a hardware accelerator for deep learning, TensorDash can speedup the training…

Hardware Architecture · Computer Science 2022-03-28 Mostafa Mahmoud , Isak Edo , Ali Hadi Zadeh , Omar Mohamed Awad , Gennady Pekhimenko , Jorge Albericio , Andreas Moshovos

Tensor networks are a very powerful data structure tool originating from quantum system simulations. In recent years, they have seen increased use in machine learning, mostly in trainings with gradient-based techniques, due to their…

Quantum Physics · Physics 2024-12-24 Sergi Masot-Llima , Artur Garcia-Saez

We present a polynomial time algorithm to approximately scale tensors of any format to arbitrary prescribed marginals (whenever possible). This unifies and generalizes a sequence of past works on matrix, operator and tensor scaling. Our…

Data Structures and Algorithms · Computer Science 2020-03-10 Peter Bürgisser , Cole Franks , Ankit Garg , Rafael Oliveira , Michael Walter , Avi Wigderson

Tensor cores are specialized processing units within GPUs that have demonstrated significant efficiency gains in compute-bound applications such as Deep Learning Training by accelerating dense matrix operations. Given their success,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-04 Lingqi Zhang , Jiajun Huang , Sheng Di , Satoshi Matsuoka , Mohamed Wahib

Tensor accelerators now represent a growing share of compute resources in modern CPUs and GPUs. However, they are hard to program, leading developers to use vendor-provided kernel libraries that support tensor accelerators. As a result, the…

Programming Languages · Computer Science 2026-02-12 Yihong Zhang , Derek Gerstmann , Andrew Adams , Maaz Bin Safeer Ahmad

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

Tensor contraction operations in computational chemistry consume significant fractions of computing time on large-scale computing platforms. The widespread use of tensor contractions between large multi-dimensional tensors in describing…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-11 Erdal Mutlu , Ajay Panyala , Nitin Gawande , Abhishek Bagusetty , Jinsung Kim , Karol Kowalski , Nicholas Bauman , Bo Peng , Jiri Brabec , Sriram Krishnamoorthy

Efficient tensor computation is a cornerstone of modern deep learning (DL) workloads, yet existing approaches struggle to achieve flexible and performant design and implementation of tensor layouts -- mappings between logical tensors and…

In this work, we develop an optimization framework for problems whose solutions are well-approximated by Hierarchical Tucker (HT) tensors, an efficient structured tensor format based on recursive subspace factorizations. By exploiting the…

Numerical Analysis · Mathematics 2014-05-12 Curt Da Silva , Felix J. Herrmann

Deep learning is slowly, but steadily, hitting a memory bottleneck. While the tensor computation in top-of-the-line GPUs increased by 32x over the last five years, the total available memory only grew by 2.5x. This prevents researchers from…

Machine Learning · Computer Science 2021-04-06 Aashaka Shah , Chao-Yuan Wu , Jayashree Mohan , Vijay Chidambaram , Philipp Krähenbühl

Tensor train (TT) decomposition provides a space-efficient representation for higher-order tensors. Despite its advantage, we face two crucial limitations when we apply the TT decomposition to machine learning problems: the lack of…

Machine Learning · Statistics 2017-08-03 Masaaki Imaizumi , Takanori Maehara , Kohei Hayashi

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

Recent innovations in Transformer-based large language models have significantly advanced the field of general-purpose neural language understanding and generation. With billions of trainable parameters, deployment of these large models…

Hardware Architecture · Computer Science 2024-10-11 Haocheng Xu , Faraz Tahmasebi , Ye Qiao , Hongzheng Tian , Hyoukjun Kwon , Sitao Huang

The NVIDIA Volta GPU microarchitecture introduces a specialized unit, called "Tensor Core" that performs one matrix-multiply-and-accumulate on 4x4 matrices per clock cycle. The NVIDIA Tesla V100 accelerator, featuring the Volta…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-18 Stefano Markidis , Steven Wei Der Chien , Erwin Laure , Ivy Bo Peng , Jeffrey S. Vetter

In this paper, we propose TensorFHE, an FHE acceleration solution based on GPGPU for real applications on encrypted data. TensorFHE utilizes Tensor Core Units (TCUs) to boost the computation of Number Theoretic Transform (NTT), which is the…

Hardware Architecture · Computer Science 2023-01-02 Shengyu Fan , Zhiwei Wang , Weizhi Xu , Rui Hou , Dan Meng , Mingzhe Zhang