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Quantum error-correcting codes (QECCs) are necessary for fault-tolerant quantum computation. Surface codes are a class of topological QECCs that have attracted significant attention due to their exceptional error-correcting capabilities and…

Information Theory · Computer Science 2024-11-11 Jifan Liang , Qianfan Wang , Lvzhou Li , Xiao Ma

Scalable characterization of quantum processors is crucial for mitigating noise and imperfections. While randomized measurement protocols enable efficient access to local observables, inferring a globally consistent description of…

Quantum Physics · Physics 2026-03-10 Zidu Liu , Dominik S. Wild

We explored decoding methods for the surface code under depolarizing noise by mapping the problem into the Ising model optimization. We consider two kinds of mapping with and without a soft constraint and also various optimization solvers,…

Distributed architectures are a route to scalable quantum computing, but the performance of fault-tolerant operations across noisy inter-module links remains poorly characterized. We present circuit-level simulations of two key distributed…

Quantum Physics · Physics 2026-05-04 John Stack , Ming Wang , Frank Mueller

Local decoders, also known as cellular-automaton decoders, offer a promising path toward real-time quantum error correction by replacing centralized classical decoding, with inherent hardware constraints, by a natively parallel and…

Quantum Physics · Physics 2025-09-17 Louis Paletta , Anthony Leverrier , Mazyar Mirrahimi , Christophe Vuillot

Transformers process tokens in parallel but are temporally shallow: at position $t$, each layer attends to key-value pairs computed based on the previous layer, yielding a depth capped by the number of layers. Recurrent models offer…

Machine Learning · Computer Science 2026-04-24 Costin-Andrei Oncescu , Depen Morwani , Samy Jelassi , Alexandru Meterez , Mujin Kwun , Sham Kakade

Color codes present distinct advantages for fault-tolerant quantum computing, such as high encoding rates and the transversal implementation of Clifford gates. However, existing matching-based decoders for the color codes such as the…

Quantum Physics · Physics 2025-11-18 Yantong Liu , Junjie Wu , Lingling Lao

Recent developments in the field of deep learning have motivated many researchers to apply these methods to problems in quantum information. Torlai and Melko first proposed a decoder for surface codes based on neural networks. Since then,…

Achieving reliable performance on early fault-tolerant quantum hardware will depend on protocols that manage noise without incurring prohibitive overhead. We propose a novel framework that integrates quantum computation with the…

Quantum Physics · Physics 2026-03-10 IlKwon Sohn , Changyeol Lee , Wooyeong Song , Kwangil Bae , Wonhyuk Lee

Large Language Models (LLMs) enable various applications on edge devices such as smartphones, wearables, and embodied robots. However, their deployment often depends on expensive cloud-based APIs, creating high operational costs, which…

Robotics · Computer Science 2025-05-29 Yeshwanth Venkatesha , Souvik Kundu , Priyadarshini Panda

Numerical investigation of compressible flows faces two main challenges. In order to accurately describe the flow characteristics, high-resolution nonlinear numerical schemes are needed to capture discontinuities and resolve wide…

Computational Physics · Physics 2020-12-09 Nils Hoppe , Stefan Adami , Nikolaus A. Adams

We present a fault-tolerant universal quantum computing architecture based on a code concatenation of biased-noise qubits and the parity architecture. The parity architecture can be understood as an LDPC code tailored specifically to obtain…

Quantum Physics · Physics 2025-12-01 Anette Messinger , Valentin Torggler , Berend Klaver , Michael Fellner , Wolfgang Lechner

Partitioning a graph into blocks of "roughly equal" weight while cutting only few edges is a fundamental problem in computer science with a wide range of applications. In particular, the problem is a building block in applications that…

Data Structures and Algorithms · Computer Science 2021-05-06 Lars Gottesbüren , Tobias Heuer , Peter Sanders , Christian Schulz , Daniel Seemaier

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

Recently, a parallel decoding framework of $G_N$-coset codes was proposed. High throughput is achieved by decoding the independent component polar codes in parallel. Various algorithms can be employed to decode these component codes,…

Information Theory · Computer Science 2020-04-22 Xianbin Wang , Jiajie Tong , Huazi Zhang , Shengchen Dai , Rong Li , Jun Wang

Quantum error correction is essential for bridging the gap between the error rates of physical devices and the extremely low logical error rates required for quantum algorithms. Recent error-correction demonstrations on superconducting…

Quantum Physics · Physics 2026-03-20 Nathan Lacroix , Alexandre Bourassa , Francisco J. H. Heras , Lei M. Zhang , Johannes Bausch , Andrew W. Senior , Thomas Edlich , Noah Shutty , Volodymyr Sivak , Andreas Bengtsson , Matt McEwen , Oscar Higgott , Dvir Kafri , Jahan Claes , Alexis Morvan , Zijun Chen , Adam Zalcman , Sid Madhuk , Rajeev Acharya , Laleh Aghababaie Beni , Georg Aigeldinger , Ross Alcaraz , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Juan Atalaya , Ryan Babbush , Brian Ballard , Joseph C. Bardin , Alexander Bilmes , Sam Blackwell , Jenna Bovaird , Dylan Bowers , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Ben Chiaro , Liang-Ying Chih , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Sean Demura , Laura De Lorenzo , Agustin Di Paolo , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Gonzalo Garcia , Robert Gasca , Élie Genois , William Giang , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Jonathan A. Gross , Tan Ha , Steve Habegger , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Stephen Heslin , Paula Heu , Reno Hiltermann , Jeremy Hilton , Sabrina Hong , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Evan Jeffrey , Zhang Jiang , Xiaoxuan Jin , Chaitali Joshi , Pavol Juhas , Andreas Kabel , Hui Kang , Amir H. Karamlou , Kostyantyn Kechedzhi , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Bryce Kobrin , Alexander N. Korotkov , Fedor Kostritsa , John Mark Kreikebaum , Vladislav D. Kurilovich , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Justin Ledford , Kenny Lee , Brian J. Lester , Loïck Le Guevel , Wing Yan Li , Yin Li , Alexander T. Lill , William P. Livingston , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Ashley Maloney , Salvatore Mandrà , Leigh S. Martin , Orion Martin , Cameron Maxfield , Jarrod R. McClean , Seneca Meeks , Anthony Megrant , Kevin C. Miao , Reza Molavi , Sebastian Molina , Shirin Montazeri , Ramis Movassagh , Charles Neill , Michael Newman , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Murphy Y. Niu , Logan Oas , William D. Oliver , Raymond Orosco , Kristoffer Ottosson , Alex Pizzuto , Rebecca Potter , Orion Pritchard , Chris Quintana , Ganesh Ramachandran , Matthew J. Reagor , Rachel Resnick , David M. Rhodes , Gabrielle Roberts , Eliott Rosenberg , Emma Rosenfeld , Elizabeth Rossi , Pedram Roushan , Kannan Sankaragomathi , Henry F. Schurkus , Michael J. Shearn , Aaron Shorter , Vladimir Shvarts , Spencer Small , W. Clarke Smith , Sofia Springer , George Sterling , Jordan Suchard , Aaron Szasz , Alex Sztein , Douglas Thor , Eifu Tomita , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Catherine Vollgraff Heidweiller , Steven Waltman , Jonathan Waltz , Shannon X. Wang , Brayden Ware , Travis Weidel , Theodore White , Kristi Wong , Bryan W. K. Woo , Maddy Woodson , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist , Hartmut Neven , Pushmeet Kohli , Alex Davies , Sergio Boixo , Julian Kelly , Cody Jones , Craig Gidney , Kevin J. Satzinger

Spatially-Coupled (SC)-LDPC codes are known to have outstanding error-correction performance and low decoding latency. Whereas previous works on LDPC and SC-LDPC codes mostly take either an asymptotic or a finite-length design approach, in…

Information Theory · Computer Science 2022-09-02 Homa Esfahanizadeh , Eshed Ram , Yuval Cassuto , Lara Dolecek

Real-time generative game engines represent a paradigm shift in interactive simulation, promising to replace traditional graphics pipelines with neural world models. However, existing approaches are fundamentally constrained by the ``Memory…

Artificial Intelligence · Computer Science 2026-02-03 Wei Zeng , Xuchen Li , Ruili Feng , Zhen Liu , Fengwei An , Jian Zhao

The surface code, with a simple modification, exhibits ultra-high error correction thresholds when the noise is biased towards dephasing. Here, we identify features of the surface code responsible for these ultra-high thresholds. We provide…

Sequential models, such as Recurrent Neural Networks and Neural Ordinary Differential Equations, have long suffered from slow training due to their inherent sequential nature. For many years this bottleneck has persisted, as many thought…

Machine Learning · Computer Science 2024-01-17 Yi Heng Lim , Qi Zhu , Joshua Selfridge , Muhammad Firmansyah Kasim