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Scalable quantum computing can only be achieved if qubits are manipulated fault-tolerantly. Topological error correction - a novel method which combines topological quantum computing and quantum error correction - possesses the highest…

This is a comprehensive review on fault-tolerant topological quantum computation with the surface codes. The basic concepts and useful tools underlying fault-tolerant quantum computation, such as universal quantum computation, stabilizer…

Quantum Physics · Physics 2015-04-08 Keisuke Fujii

Many quantum operations are expected to exhibit bias in the structure of their errors. Recent works have shown that a fixed bias can be exploited to improve error tolerance by statically arranging the errors in beneficial configurations. In…

Quantum Physics · Physics 2023-03-29 Hector Bombín , Chris Dawson , Naomi Nickerson , Mihir Pant , Jordan Sullivan

Geometric quantum computation offers a practical strategy toward robust quantum computation due to its inherently error tolerance. However, the rigorous geometric conditions lead to complex and/or error-disturbed quantum controls,…

Quantum Physics · Physics 2022-07-28 Tao Chen , Zheng-Yuan Xue , Z. D. Wang

(Abridged.) This thesis investigates scalable fault-tolerant quantum computation through the development of bosonic quantum codes, quantum LDPC codes, and decoding protocols that connect continuous-variable and discrete-variable error…

Quantum Physics · Physics 2025-12-18 Timo Hillmann

We present the first detailed simulation of a measurement based quantum computation based on Gottesman-Kitaev-Preskill (GKP) qubits within a quad-rail lattice (QRL) cluster state involving over 100 GKP modes. This was enabled by the…

We consider the problem of fault-tolerant quantum computation in the presence of slow error diagnostics, either caused by measurement latencies or slow decoding algorithms. Our scheme offers a few improvements over previously existing…

Quantum Physics · Physics 2018-01-08 Christopher Chamberland , Pavithran Iyer , David Poulin

Scaling up quantum computers to attain substantial speedups over classical computing requires fault tolerance. Conventionally, protocols for fault-tolerant quantum computation demand excessive space overheads by using many physical qubits…

Quantum Physics · Physics 2025-01-29 Hayata Yamasaki , Masato Koashi

There is a pressing need for more accurate computational simulations of the opto-electronic properties of defects in materials to aid in the development of quantum sensing platforms. In this work, we explore how quantum computers could be…

Continuous-variable quantum computing architectures based upon the Gottesmann-Kitaev-Preskill (GKP) encoding have emerged as a promising candidate because one can achieve fault-tolerance with a probabilistic supply of GKP states and…

Quantum Physics · Physics 2024-02-07 Matthew P. Stafford , Nicolas C. Menicucci

The advancement of information processing into the realm of quantum mechanics promises a transcendence in computational power that will enable problems to be solved which are completely beyond the known abilities of any "classical"…

Quantum Physics · Physics 2010-03-16 Parsa Bonderson , Sankar Das Sarma , Michael Freedman , Chetan Nayak

Bosonic quantum error correction codes encode logical qubits in the Hilbert space of one or multiple harmonic oscillators. A prominent class of bosonic codes is that of Gottesman-Kitaev-Preskill (GKP) codes of which implementations have…

Quantum Physics · Physics 2025-02-28 Leon H. Bohnmann , David F. Locher , Johannes Zeiher , Markus Müller

We describe a concrete device roadmap towards a fault-tolerant quantum computing architecture based on noise-resilient, topologically protected Majorana-based qubits. Our roadmap encompasses four generations of devices: a single-qubit…

Quantum Physics · Physics 2025-07-22 David Aasen , Morteza Aghaee , Zulfi Alam , Mariusz Andrzejczuk , Andrey Antipov , Mikhail Astafev , Lukas Avilovas , Amin Barzegar , Bela Bauer , Jonathan Becker , Juan M. Bello-Rivas , Umesh Bhaskar , Alex Bocharov , Srini Boddapati , David Bohn , Jouri Bommer , Parsa Bonderson , Jan Borovsky , Leo Bourdet , Samuel Boutin , Tom Brown , Gary Campbell , Lucas Casparis , Srivatsa Chakravarthi , Rui Chao , Benjamin J. Chapman , Sohail Chatoor , Anna Wulff Christensen , Patrick Codd , William Cole , Paul Cooper , Fabiano Corsetti , Ajuan Cui , Wim van Dam , Tareq El Dandachi , Sahar Daraeizadeh , Adrian Dumitrascu , Andreas Ekefjärd , Saeed Fallahi , Luca Galletti , Geoff Gardner , Raghu Gatta , Haris Gavranovic , Michael Goulding , Deshan Govender , Flavio Griggio , Ruben Grigoryan , Sebastian Grijalva , Sergei Gronin , Jan Gukelberger , Jeongwan Haah , Marzie Hamdast , Esben Bork Hansen , Matthew Hastings , Sebastian Heedt , Samantha Ho , Justin Hogaboam , Laurens Holgaard , Kevin Van Hoogdalem , Jinnapat Indrapiromkul , Henrik Ingerslev , Lovro Ivancevic , Sarah Jablonski , Thomas Jensen , Jaspreet Jhoja , Jeffrey Jones , Kostya Kalashnikov , Ray Kallaher , Rachpon Kalra , Farhad Karimi , Torsten Karzig , Seth Kimes , Vadym Kliuchnikov , Maren Elisabeth Kloster , Christina Knapp , Derek Knee , Jonne Koski , Pasi Kostamo , Jamie Kuesel , Brad Lackey , Tom Laeven , Jeffrey Lai , Gijs de Lange , Thorvald Larsen , Jason Lee , Kyunghoon Lee , Grant Leum , Kongyi Li , Tyler Lindemann , Marijn Lucas , Roman Lutchyn , Morten Hannibal Madsen , Nash Madulid , Michael Manfra , Signe Brynold Markussen , Esteban Martinez , Marco Mattila , Jake Mattinson , Robert McNeil , Antonio Rodolph Mei , Ryan V. Mishmash , Gopakumar Mohandas , Christian Mollgaard , Michiel de Moor , Trevor Morgan , George Moussa , Anirudh Narla , Chetan Nayak , Jens Hedegaard Nielsen , William Hvidtfelt Padkær Nielsen , Frédéric Nolet , Mike Nystrom , Eoin O'Farrell , Keita Otani , Adam Paetznick , Camille Papon , Andres Paz , Karl Petersson , Luca Petit , Dima Pikulin , Diego Olivier Fernandez Pons , Sam Quinn , Mohana Rajpalke , Alejandro Alcaraz Ramirez , Katrine Rasmussen , David Razmadze , Ben Reichardt , Yuan Ren , Ken Reneris , Roy Riccomini , Ivan Sadovskyy , Lauri Sainiemi , Juan Carlos Estrada Saldaña , Irene Sanlorenzo , Simon Schaal , Emma Schmidgall , Cristina Sfiligoj , Marcus P. da Silva , Shilpi Singh , Sarat Sinha , Mathias Soeken , Patrick Sohr , Tomas Stankevic , Lieuwe Stek , Patrick Strøm-Hansen , Eric Stuppard , Aarthi Sundaram , Henri Suominen , Judith Suter , Satoshi Suzuki , Krysta Svore , Sam Teicher , Nivetha Thiyagarajah , Raj Tholapi , Mason Thomas , Dennis Tom , Emily Toomey , Josh Tracy , Matthias Troyer , Michelle Turley , Matthew D. Turner , Shivendra Upadhyay , Ivan Urban , Alexander Vaschillo , Dmitrii Viazmitinov , Dominik Vogel , Zhenghan Wang , John Watson , Alex Webster , Joseph Weston , Timothy Williamson , Georg W. Winkler , David J. van Woerkom , Brian Paquelet Wütz , Chung Kai Yang , Richard Yu , Emrah Yucelen , Jesús Herranz Zamorano , Roland Zeisel , Guoji Zheng , Justin Zilke , Andrew Zimmerman

We study an architecture for fault-tolerant measurement-based quantum computation (FT-MBQC) over optically-networked trapped-ion modules. The architecture is implemented with a finite number of modules and ions per module, and leverages…

Quantum Physics · Physics 2026-05-26 Nitish K. Chandra , Saikat Guha , Kaushik P. Seshadreesan

Advances in quantum technologies are accelerating the demand for optical quantum state sensors that combine high precision, versatility, and scalability within a unified hardware platform. Quantum reservoir computing offers a powerful route…

In this paper we numerically investigate the fault-tolerant threshold for optical cluster-state quantum computing. We allow both photon loss noise and depolarizing noise (as a general proxy for all local noise), and obtain a threshold…

Quantum Physics · Physics 2009-11-11 Christopher M. Dawson , Henry L. Haselgrove , Michael A. Nielsen

We propose a fault-tolerant quantum computer architecture for trapped-ion devices, which we call the walking cat architecture. Our blueprint includes a compiler, a detailed description of all the quantum error-correction protocols, a…

Bosonic codes offer noise resilience for quantum information processing. Good performance often comes at a price of complex decoding schemes, limiting their practicality. Here, we propose using a Gottesman-Kitaev-Preskill (GKP) code to…

Quantum Physics · Physics 2023-11-28 Kosuke Fukui , Takaya Matsuura , Nicolas C. Menicucci

Fault-tolerant quantum error correction provides a strategy to protect information processed by a quantum computer against noise which would otherwise corrupt the data. A fault-tolerant universal quantum computer must implement a universal…

Continuous-variable quantum-computing (CVQC) is the most scalable implementation of QC to date but requires non-Gaussian resources to allow exponential speedup and quantum correction, using error encoding such as Gottesman-Kitaev-Preskill…

Quantum Physics · Physics 2020-06-05 Miller Eaton , Rajveer Nehra , Olivier Pfister