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We consider experimentally feasible chains of trapped ions with pseudo-spin 1/2, and find models that can potentially be used to implement error-resistant quantum computation. Similar in spirit to classical neural networks, the…

Quantum Physics · Physics 2009-10-20 Sibylle Braungardt , Aditi Sen De , Ujjwal Sen , Maciej Lewenstein

Quantization replaces floating point arithmetic with integer arithmetic in deep neural network models, providing more efficient on-device inference with less power and memory. In this work, we propose a framework for formally verifying…

Machine Learning · Computer Science 2023-12-29 Pei Huang , Haoze Wu , Yuting Yang , Ieva Daukantas , Min Wu , Yedi Zhang , Clark Barrett

The overhead of quantum error correction (QEC) poses a major bottleneck for realizing fault-tolerant computation. To reduce this overhead, we exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into…

Quantum Physics · Physics 2025-09-30 Shouzhen Gu , Alex Retzker , Aleksander Kubica

Modern distributed storage systems often use erasure codes to protect against disk and node failures to increase reliability, while trying to meet the latency requirements of the applications and clients. Storage systems may have caches at…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-24 Vaneet Aggarwal , Yih-Farn R. Chen , Tian Lan , Yu Xiang

The ultimate goal of any sparse coding method is to accurately recover from a few noisy linear measurements, an unknown sparse vector. Unfortunately, this estimation problem is NP-hard in general, and it is therefore always approached with…

Polar codes can theoretically achieve very competitive Frame Error Rates. In practice, their performance may depend on the chosen decoding procedure, as well as other parameters of the communication system they are deployed upon. As a…

Machine Learning · Computer Science 2021-05-12 Mathieu Léonardon , Vincent Gripon

This paper investigates the construction of linear network codes for broadcasting a set of data packets to a number of users. The links from the source to the users are modeled as independent erasure channels. Users are allowed to inform…

Information Theory · Computer Science 2013-12-10 Chi Wan Sung , Linyu Huang , Ho Yuet Kwan , Kenneth W. Shum

In distributed computing systems, it is well recognized that worker nodes that are slow (called stragglers) tend to dominate the overall job execution time. Coded computation utilizes concepts from erasure coding to mitigate the effect of…

Information Theory · Computer Science 2018-09-18 Anindya B. Das , Li Tang , Aditya Ramamoorthy

Erasure coding (EC) affords data redundancy for large-scale systems. XOR-based EC is an easy-to-implement method for optimizing EC. This paper addresses a significant performance gap between the state-of-the-art XOR-based EC approach (with…

Programming Languages · Computer Science 2021-08-06 Yuya Uezato

The increasing demand for data storage has prompted the exploration of new techniques, with molecular data storage being a promising alternative. In this work, we develop coding schemes for a new storage paradigm that can be represented as…

Information Theory · Computer Science 2025-10-30 Boaz Moav , Ryan Gabrys , Eitan Yaakobi

We present a novel distributed computing framework that is robust to slow compute nodes, and is capable of both approximate and exact computation of linear operations. The proposed mechanism integrates the concepts of randomized sketching…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-06 Burak Bartan , Mert Pilanci

Sparse codes in neuroscience have been suggested to offer certain computational advantages over other neural representations of sensory data. To explore this viewpoint, a sparse code is used to represent natural images in an optimal control…

Machine Learning · Computer Science 2021-01-08 Peter N. Loxley

The inherent heavy computation of deep neural networks prevents their widespread applications. A widely used method for accelerating model inference is quantization, by replacing the input operands of a network using fixed-point values.…

Computer Vision and Pattern Recognition · Computer Science 2020-05-28 Hongwei Xie , Shuo Zhang , Huanghao Ding , Yafei Song , Baitao Shao , Conggang Hu , Ling Cai , Mingyang Li

Surface codes are among the best candidates to ensure the fault-tolerance of a quantum computer. In order to avoid the accumulation of errors during a computation, it is crucial to have at our disposal a fast decoding algorithm to quickly…

Quantum Physics · Physics 2020-07-15 Nicolas Delfosse , Gilles Zémor

We study the channel coding problem when errors and uncertainty occur in the encoding process. For simplicity we assume the channel between the encoder and the decoder is perfect. Focusing on linear block codes, we model the encoding…

Information Theory · Computer Science 2013-05-17 Jad Hachem , I-Hsiang Wang , Christina Fragouli , Suhas Diggavi

Erasure codes have been widely considered a promising solution to enhance data reliability at low storage costs. However, in modern geo-distributed storage systems, erasure codes may incur high data access latency as they require data…

Information Theory · Computer Science 2020-12-08 Kaiyang Liu , Jun Peng , Jingrong Wang , Jianping Pan

In solving partial differential equations (PDEs), machine learning utilizing physical laws has received considerable attention owing to advantages such as mesh-free solutions, unsupervised learning, and feasibility for solving…

Machine Learning · Computer Science 2026-03-25 Tetsuro Tsuchino , Motoki Shiga

Large-scale machine learning and data mining applications require computer systems to perform massive matrix-vector and matrix-matrix multiplication operations that need to be parallelized across multiple nodes. The presence of straggling…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-01 Ankur Mallick , Malhar Chaudhari , Utsav Sheth , Ganesh Palanikumar , Gauri Joshi

Over recent years, deep learning-based computer vision systems have been applied to images at an ever-increasing pace, oftentimes representing the only type of consumption for those images. Given the dramatic explosion in the number of…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Nam Le , Honglei Zhang , Francesco Cricri , Ramin Ghaznavi-Youvalari , Esa Rahtu

The decoding of error syndromes of surface codes with classical algorithms may slow down quantum computation. To overcome this problem it is possible to implement decoding algorithms based on artificial neural networks. This work reports a…

Quantum Physics · Physics 2026-04-21 Simone Bordoni , Stefano Giagu