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High-efficiency deep learning (DL) models are necessary not only to facilitate their use in devices with limited resources but also to improve resources required for training. Convolutional neural networks (ConvNets) typically exert severe…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Christos Kyrkou

Quantum phase estimation (QPE) is a promising quantum algorithm for obtaining molecular ground-state energies with chemical accuracy. However, its computational cost, dominated by the Hamiltonian 1-norm $\lambda$ and the cost of the block…

Quantum error-correcting codes protect fragile quantum information by encoding it redundantly, but identifying codes that perform well in practice with minimal overhead remains difficult due to the combinatorial search space and the high…

Quantum Physics · Physics 2026-01-27 Yihua Chengyu , Richard Meister , Conor Carty , Sheng-Ku Lin , Roberto Bondesan

Real-time decoding of quantum error correction (QEC) is essential for enabling fault-tolerant quantum computation. A practical decoder must operate with high accuracy at low latency, while remaining robust to spatial and temporal variations…

Quantum Physics · Physics 2026-01-23 Samuel Stein , Shuwen Kan , Chenxu Liu , Adrian Harkness , Sean Garner , Zefan Du , Yufei Ding , Ying Mao , Ang Li

The weighted essentially non-oscillatory (WENO) schemes are a popular class of high order accurate numerical methods for solving hyperbolic partial differential equations (PDEs). However when the spatial dimensions are high, the number of…

Numerical Analysis · Mathematics 2020-07-21 Xiaozhi Zhu , Yong-Tao Zhang

Large language models (LLMs) have revolutionized natural language processing, albeit at the cost of immense memory and computation requirements. Post-training quantization (PTQ) is becoming the de facto method to reduce the memory footprint…

Machine Learning · Computer Science 2024-10-28 Yuhang Li , Priyadarshini Panda

Polarization-adjusted convolutional (PAC) codes can approach the theoretical bound for block error rate (BLER) performance at short-to-medium codeword length. PAC codes have excellent BLER performance using Monte Carlo (MC) rate-profiles…

Information Theory · Computer Science 2023-04-25 Shirong Jiang , Jiahao Wang , Chunfang Xia , Xiang Li

The success of deep learning (DL) is often achieved with large models and high complexity during both training and post-training inferences, hindering training in resource-limited settings. To alleviate these issues, this paper introduces a…

Machine Learning · Computer Science 2025-01-20 En-hui Yang , Shayan Mohajer Hamidi

Quantum error correction codes (QECCs) play a central role in both quantum communications and quantum computation. Practical quantum error correction codes, such as stabilizer codes, are generally structured to suit a specific use, and…

Quantum Physics · Physics 2023-10-30 Diogo Cruz , Francisco A. Monteiro , Bruno C. Coutinho

This note is a stripped down version of a published paper on the Potts partition function, where we concentrate solely on the linear coding aspect of our approach. It is meant as a resource for people interested in coding theory but who do…

Information Theory · Computer Science 2008-03-17 Joseph Geraci , Frank Van Bussel

While loop reordering and fusion can make big impacts on the constant-factor performance of dense tensor programs, the effects on sparse tensor programs are asymptotic, often leading to orders of magnitude performance differences in…

Mathematical Software · Computer Science 2023-10-13 Willow Ahrens , Fredrik Kjolstad , Saman Amarasinghe

We introduce CL-QAS, a continual quantum architecture search framework that mitigates the challenges of costly amplitude encoding and catastrophic forgetting in variational quantum circuits. The method uses Tensor-Train encoding to…

Quantum Physics · Physics 2026-01-13 Jun Qi , Chao-Han Huck Yang , Pin-Yu Chen , Javier Tejedor , Ling Li , Min-Hsiu Hsieh

Fast and accurate quantum error correction (QEC) decoding is crucial for scalable fault-tolerant quantum computation. Most-Likely-Error (MLE) decoding, while being near-optimal, is intractable on general quantum Low-Density Parity-Check…

Quantum Physics · Physics 2025-10-06 Yue Wu , Binghong Li , Kathleen Chang , Shruti Puri , Lin Zhong

The growing number of parameters and computational demands of large language models (LLMs) present significant challenges for their efficient deployment. Recently, there is an increasing interest in quantizing weights to extremely low…

Machine Learning · Computer Science 2025-02-18 Cheng Zhang , Jeffrey T. H. Wong , Can Xiao , George A. Constantinides , Yiren Zhao

The key-value (KV) cache accelerates LLMs decoding by storing KV tensors from previously generated tokens. It reduces redundant computation at the cost of increased memory usage. To mitigate this overhead, existing approaches compress KV…

Machine Learning · Computer Science 2025-07-30 Hao Wang , Ligong Han , Kai Xu , Akash Srivastava

This study considers the control problem with signal temporal logic (STL) specifications. Prior works have adopted smoothing techniques to address this problem within a feasible time frame and solve the problem by applying sequential…

Systems and Control · Electrical Eng. & Systems 2024-01-30 Yoshinari Takayama , Kazumune Hashimoto , Toshiyuki Ohtsuka

The matrix quantization entails representing matrix elements in a more space-efficient form to reduce storage usage, with dequantization restoring the original matrix for use. We formulate the Quantization Error Minimization (QEM) problem…

Machine Learning · Computer Science 2024-09-09 Yanshu Wang , Wang Li , Zhaoqian Yao , Tong Yang

The Weighted Tree Augmentation Problem (WTAP) is a fundamental well-studied problem in the field of network design. Given an undirected tree $G=(V,E)$, an additional set of edges $L \subseteq V\times V$ disjoint from $E$ called…

Data Structures and Algorithms · Computer Science 2016-09-16 David Adjiashvili

Quantum state tomography (QST) is the process of reconstructing the complete state of a quantum system (mathematically described as a density matrix) through a series of different measurements. These measurements are performed on a number…

Quantum Physics · Physics 2025-01-08 Hailan Ma , Zhenhong Sun , Daoyi Dong , Dong Gong

We perform an extended numerical search for practical fermion-to-qubit encodings with error correcting properties. Ideally, encodings should strike a balance between a number of the seemingly incompatible attributes, such as having a high…

Quantum Physics · Physics 2024-05-29 Fedor Simkovic , Martin Leib , Francisco Revson F. Pereira