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Logical qubits encoded into a quantum code exhibit improved error rates when the physical error rates are sufficiently low, below the pseudothreshold. Logical error rates and pseudothresholds can be estimated for specific circuits and noise…

Quantum Physics · Physics 2024-02-14 Malcolm S. Carroll , James R. Wootton , Andrew W. Cross

In this short review, I draw attention to new developments in the theory of fault tolerance in quantum computation that may give concrete direction to future work in the development of superconducting qubit systems. The basics of quantum…

Quantum Physics · Physics 2015-05-13 David P. DiVincenzo

We present a resource analysis for generating high-fidelity logical magic states on silicon spin-qubit platforms. We consider a range of architectures, including a shuttling-based SpinBus design, a dense nearest-neighbor layout, and a…

FP-Growth algorithm is a Frequent Pattern Min- ing (FPM) algorithm that has been extensively used to study correlations and patterns in large scale datasets. While several researchers have designed distributed memory FP-Growth algorithms,…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-10-18 Sameh Shohdy , Abhinav Vishnu , Gagan Agrawal

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

Quantum Physics · Physics 2007-10-07 Jaeyoon Cho

Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder displays sub-optimal performance in practice and requires very…

Quantum Physics · Physics 2021-04-21 Antoine Grospellier , Lucien Grouès , Anirudh Krishna , Anthony Leverrier

Basic Linear Algebra Subprograms (BLAS) is a core library in scientific computing and machine learning. This paper presents FT-BLAS, a new implementation of BLAS routines that not only tolerates soft errors on the fly, but also provides…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-09 Yujia Zhai , Elisabeth Giem , Quan Fan , Kai Zhao , Jinyang Liu , Zizhong Chen

Prompt-based methods have achieved promising results in most few-shot text classification tasks. However, for readability assessment tasks, traditional prompt methods lackcrucial linguistic knowledge, which has already been proven to be…

Computation and Language · Computer Science 2024-04-11 Ziyang Wang , Sanwoo Lee , Hsiu-Yuan Huang , Yunfang Wu

Fault-tolerant quantum computation in photonic architectures requires efficient preparation of high-fidelity logical magic states under realistic constraints of finite squeezing and photon loss. We present LiDMaS (Lightweight Density-Matrix…

Quantum Physics · Physics 2026-02-27 Dennis Delali Kwesi Wayo

Large neural networks achieve state-of-the-art performance on many tasks, yet their sheer size hinders deployment on resource-constrained devices. Among existing compression approaches, cross-layer parameter sharing remains relatively…

Machine Learning · Computer Science 2026-05-26 Cem Üyük , Mike Lasby , Mohamed Yassin , Utku Evci , Yani Ioannou

It has been an open question in deep learning if fault-tolerant computation is possible: can arbitrarily reliable computation be achieved using only unreliable neurons? In the grid cells of the mammalian cortex, analog error correction…

Machine Learning · Computer Science 2025-03-26 Alexander Zlokapa , Andrew K. Tan , John M. Martyn , Ila R. Fiete , Max Tegmark , Isaac L. Chuang

Supervised talking head forgery detection faces severe generalization challenges due to the continuous evolution of generators. By reducing reliance on generator-specific forgery patterns, self-supervised detectors offer stronger…

Computer Vision and Pattern Recognition · Computer Science 2026-05-06 Ke Liu , Jiwei Wei , Shuchang Zhou , Yutong Xiao , Ruikun Chai , Yitong Qin , Yuyang Zhou , Yang Yang

For planar architectures surface code-based quantum error correction is one of the most promising approaches to fault-tolerant quantum computation. This is partially due to the variety of fault-tolerant logical protocols that can be…

Quantum Physics · Physics 2025-09-22 Áron Márton , Luis Colmenarez , Lukas Bödeker , Markus Müller

Characterizing how quantum error correction circuits behave under realistic hardware noise is essential for testing the premises that enable scalable fault tolerance. Logical error rates conditioned on syndrome outcomes are needed to enable…

Quantum Physics · Physics 2025-08-12 Matthew Girling , Ben Criger , Cristina Cirstoiu

The Fast Fourier Transform (FFT), as a core computation in a wide range of scientific applications, is increasingly threatened by reliability issues. In this paper, we introduce TurboFFT, a high-performance FFT implementation equipped with…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-07 Shixun Wu , Yujia Zhai , Jinyang Liu , Jiajun Huang , Zizhe Jian , Huangliang Dai , Sheng Di , Zizhong Chen , Franck Cappello

A major challenge in practical quantum computation is the ineludible errors caused by the interaction of quantum systems with their environment. Fault-tolerant schemes, in which logical qubits are encoded by several physical qubits, enable…

Quantum Physics · Physics 2020-12-17 Kai Sun , Jin-Shi Xu , Xiao-Ye Xu , Yong-Jian Han , Chuan-Feng Li , Guang-Can Guo

The surface code is one of the most promising candidates for combating errors in large scale fault-tolerant quantum computation. A fault-tolerant decoder is a vital part of the error correction process---it is the algorithm which computes…

Quantum Physics · Physics 2015-09-15 Fern H. E. Watson , Hussain Anwar , Dan E. Browne

This paper proposes two approaches for reducing the impact of the error floor phenomenon when decoding quantum low-density parity-check codes with belief propagation based algorithms. First, a low-complexity syndrome-based linear…

Information Theory · Computer Science 2024-01-22 Sana Javed , Francisco Garcia-Herrero , Bane Vasic , Mark F. Flanagan

We introduce a framework called spacetime concatenation for fault-tolerant compilation of syndrome extraction circuits of stabilizer codes. Spacetime concatenation enables efficient compilation of syndrome extraction circuits into dynamical…

Quantum Physics · Physics 2026-01-21 Yichen Xu , Arpit Dua

Error correcting codes protect quantum information and form the basis of fault tolerant quantum computing. Leading proposals for fault-tolerant quantum computation require codes with an exceedingly rare property, a transverse non-Clifford…

Quantum Physics · Physics 2015-10-12 Earl T. Campbell
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