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Fast, reliable logical operations are essential for realizing useful quantum computers. By redundantly encoding logical qubits into many physical qubits and using syndrome measurements to detect and correct errors, one can achieve low…

Quantum low-density parity-check (qLDPC) codes are a promising construction for drastically reducing the overhead of fault-tolerant quantum computing (FTQC) architectures. However, all of the known hardware implementations of these codes…

Neutral atom arrays have recently emerged as a promising platform for quantum information processing. One important remaining roadblock for the large-scale application of these systems is the ability to perform error-corrected quantum…

Quantum computing experiments are transitioning from running on physical qubits to using encoded, logical qubits. Fault-tolerant computation can identify and correct errors, and has the potential to enable the dramatically reduced logical…

Quantum computers have made extraordinary progress over the past decade, and significant milestones have been achieved along the path of pursuing universal fault-tolerant quantum computers. Quantum advantage, the tipping point heralding the…

Fault-tolerant quantum computations require alternating quantum and classical computations, where the classical computations prove vital in detecting and correcting errors in the quantum computation. Recently, interest in using these…

Quantum Physics · Physics 2025-09-09 Niels M. P. Neumann

We report on the fault-tolerant operation of logical qubits on a neutral atom quantum computer, with logical performance surpassing physical performance for multiple circuits including Bell states (12x error reduction), random circuits…

Large-scale quantum computers have the potential to hold computational capabilities beyond conventional computers for certain problems. However, the physical qubits within a quantum computer are prone to noise and decoherence, which must be…

Quantum Physics · Physics 2024-06-06 Luka Skoric , Dan E. Browne , Kenton M. Barnes , Neil I. Gillespie , Earl T. Campbell

One-way quantum computation is a promising approach to achieving universal, scalable, and fault-tolerant quantum computation. However, a main challenge lies in the creation of universal, scalable three-dimensional cluster states. Here, an…

Quantum Physics · Physics 2025-03-19 Peilin Du , Jing Zhang , Rongguo Yang

Quantum computers promise to solve problems that are intractable for classical computers, but qubits are vulnerable to many sources of error, limiting the depth of the circuits that can be reliably executed on today's quantum hardware.…

Quantum Physics · Physics 2025-08-04 Daniel Honciuc Menendez , Annie Ray , Michael Vasmer

Blind Quantum Computation (BQC) is a delegation computing protocol that allows a client to utilize a remote quantum server to implement desired quantum computations while keeping her inputs, outputs, and algorithms private. However, qubit…

Quantum Physics · Physics 2023-03-07 Qiang Zhao , John C. S. Lui

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

A quantum computer -- i.e., a computer capable of manipulating data in quantum superposition -- would find applications including factoring, quantum simulation and tests of basic quantum theory. Since quantum superpositions are fragile, the…

Quantum Physics · Physics 2007-05-23 Ben W. Reichardt

In order to achieve fault-tolerant quantum computation, we need to repeat the following sequence of four steps: First, perform 1 or 2 qubit quantum gates (in parallel if possible). Second, do a syndrome measurement on a subset of the…

Quantum Physics · Physics 2024-12-11 Harry Buhrman , Marten Folkertsma , Bruno Loff , Niels M. P. Neumann

Magic states are a foundational resource for universal quantum computation. To survive in a realistic noisy environment, magic states must be prepared fault-tolerantly and protected by a quantum error-correcting code. The recent discovery…

Quantum Physics · Physics 2026-02-02 Dominic J. Williamson

Standard approaches to quantum error correction for fault-tolerant quantum computing are based on encoding a single logical qubit into many physical ones, resulting in asymptotically zero encoding rates and therefore huge resource…

Quantum Physics · Physics 2024-09-06 Hayato Goto

It has been known that quantum error correction via concatenated codes can be done with exponentially small failure rate if the error rate for physical qubits is below a certain accuracy threshold. Other, unconcatenated codes with their own…

Quantum Physics · Physics 2008-12-18 Eric Dennis

Overcoming the influence of noise and imperfections in quantum devices is one of the main challenges for viable quantum applications. In this article, we present different protocols, which we denote as "superposed quantum error mitigation",…

Many current quantum error-correcting codes that achieve full fault tolerance suffer from having low ratios of logical to physical qubits and significant overhead. This makes them difficult to implement on current noisy intermediate-scale…

Quantum Physics · Physics 2026-05-22 Christopher Gerhard , Todd A. Brun

Experiments with superconducting quantum processors have successfully demonstrated the basic functions needed for quantum computation and evidence of utility, albeit without a sizable array of error-corrected qubits. The realization of the…