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The four-legged cat code is a quantum error-correcting code designed to address the predominant error in bosonic modes: single-photon loss. It was the first such code to surpass the break-even point, thereby demonstrating the practical…

Fault-tolerant quantum computation critically depends on architectures uniting high encoding rates with physical implementability. Quantum low-density parity-check (qLDPC) codes, including bivariate bicycle (BB) codes, achieve dramatic…

Quantum Physics · Physics 2025-06-24 Yingli Yang , Guo Zhang , Ying Li

Quantum computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

Fault-tolerant modular quantum computing requires stabilizer measurements across the modules in a quantum network. For this, entangled states of high quality and rate must be distributed. Currently, two main types of entanglement…

Achieving scalable, fault-tolerant quantum computation requires quantum memory architectures that minimize error correction overhead while preserving coherence. This work presents a framework for high-dimensional qudit memory in…

Quantum Physics · Physics 2025-03-06 William Boone Samuels

We describe a method to execute globally controlled quantum information processing which admits a fault tolerant quantum error correction scheme. Our scheme nominally uses three species of addressable two-level systems which are arranged in…

Quantum Physics · Physics 2007-07-10 J. Fitzsimons , J. Twamley

The construction of a quantum computer remains a fundamental scientific and technological challenge, in particular due to unavoidable noise. Quantum states and operations can be protected from errors using protocols for fault-tolerant…

Scalable quantum information processing with integrated photonics requires quantum logic operations with high fidelity and robustness. Directional couplers, the fundamental elements enabling quantum interference and logic operations, are…

Recent advancements in quantum photonics have driven significant progress in photonic quantum computing (PQC), addressing challenges in scalability, efficiency, and fault tolerance. Experimental efforts have focused on integrated photonic…

Quantum Physics · Physics 2025-01-07 Dennis Delali Kwesi Wayo , Leonardo Goliatt , Darvish Ganji

Quantum states are very delicate, so it is likely some sort of quantum error correction will be necessary to build reliable quantum computers. The theory of quantum error-correcting codes has some close ties to and some striking differences…

Quantum Physics · Physics 2009-04-17 Daniel Gottesman

Quantum computers can be protected from noise by encoding the logical quantum information redundantly into multiple qubits using error correcting codes. When manipulating the logical quantum states, it is imperative that errors caused by…

As information carriers in quantum computing, photonic qubits have the advantage of undergoing negligible decoherence. However, the absence of any significant photon-photon interaction is problematic for the realization of non-trivial…

Usual scenarios of fault-tolerant computation are concerned with the fault-tolerant realization of quantum algorithms that compute classical functions, such as Shor's algorithm for factoring. In particular, this means that input and output…

Quantum Physics · Physics 2025-12-03 Matthias Christandl , Omar Fawzi , Ashutosh Goswami

Photonic quantum computing provides a promising route toward quantum computation by naturally supporting the measurement-based quantum computation (MBQC) model. In MBQC, programs are executed through measurements on a pre-generated graph…

Quantum Physics · Physics 2026-04-24 Xiangyu Ren , Yuexun Huang , Zhemin Zhang , Yuchen Zhu , Tsung-Yi Ho , Antonio Barbalace , Zhiding Liang

We show how to construct a large class of quantum error correcting codes, known as CSS codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger…

Quantum Physics · Physics 2016-08-17 A. Bolt , G. Duclos-Cianci , D. Poulin , T. M. Stace

Quantum error correction is necessary to perform large-scale quantum computations in the presence of noise and decoherence. As a result, several aspects of quantum error correction have already been explored. These have been primarily…

Quantum Physics · Physics 2021-08-05 Ariel Shlosberg , Anthony M. Polloreno , Graeme Smith

The design of time-independent local Hamiltonians that realise quantum algorithms is derived from the study of perfect state transfer. The novel features of this evolution are the perfect realisation of the computation, and the ability to…

Quantum Physics · Physics 2016-11-28 Alastair Kay

As there is no quantum error correction code with universal set of transversal gates, several approaches have been proposed which, in combination of transversal gates, make universal fault-tolerant quantum computation possible. Magic state…

Quantum Physics · Physics 2017-05-16 Eesa Nikahd , Morteza Saheb Zamani , Mehdi Sedighi

Foliated quantum codes are a resource for fault-tolerant measurement-based quantum error correction for quantum repeaters and for quantum computation. They represent a general approach to integrating a range of possible quantum error…

Quantum Physics · Physics 2018-12-05 A. Bolt , D. Poulin , T. M. Stace

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
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