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Superconducting qubits, while promising for scalability and long coherence times, contain more than two energy levels, and therefore are susceptible to errors generated by the leakage of population outside of the computational subspace.…

Quantum Physics · Physics 2015-02-23 Joydip Ghosh , Austin G. Fowler

To produce an operable quantum computer that is made with imperfect hardware, we must design and test scalable quantum error correcting codes that are suited for the devices we can build and, in unison, develop decoding strategies that…

Modular architectures offer a scalable path toward fault-tolerant quantum computing by interconnecting smaller quantum processing units (QPUs) provided that high-rate, fault-tolerant interfaces can be realized across modules. We present a…

Quantum Physics · Physics 2026-05-05 Frederik K. Marqversen , Gefen Baranes , Maxim Sirotin , Johannes Borregaard

Flag-style fault-tolerance has become a linchpin in the realization of small fault-tolerant quantum-error correction experiments. The flag protocol's utility hinges on low qubit overhead, which is typically much smaller than in other…

Quantum Physics · Physics 2023-12-05 Dhruv Bhatnagar , Matthew Steinberg , David Elkouss , Carmen G. Almudever , Sebastian Feld

We consider an approach to fault tolerant quantum computing based on a simple error detecting code operating as the substrate for a conventional surface code. We develop a customised decoder to process the information about the likely…

Quantum Physics · Physics 2019-12-11 Xiaosi Xu , Qi Zhao , Xiao Yuan , Simon C. Benjamin

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

Implementing algorithms on a fault-tolerant quantum computer will require fast decoding throughput and latency times to prevent an exponential increase in buffer times between the applications of gates. In this work we begin by quantifying…

Quantum error correction (QEC) is an essential concept for any quantum information processing device. Typically, QEC is designed with minimal assumptions about the noise process; this generic assumption exacts a high cost in efficiency and…

Quantum Physics · Physics 2007-06-26 Andrew S. Fletcher

Quantum error correction (QEC) is essential for quantum computing to mitigate the effect of errors on qubits, and surface code (SC) is one of the most promising QEC methods. Decoding SCs is the most computational expensive task in the…

Quantum Physics · Physics 2022-09-02 Yosuke Ueno , Masaaki Kondo , Masamitsu Tanaka , Yasunari Suzuki , Yutaka Tabuchi

Quantum error correction (QEC) and fault-tolerant (FT) mechanisms are essential for reliable quantum computing. However, QEC considerably increases the computation size up to four orders of magnitude. Moreover, FT implementation has…

Quantum Physics · Physics 2018-09-20 L. Lao , B. van Wee , I. Ashraf , J. van Someren , N. Khammassi , K. Bertels , C. G. Almudever

Quantum error correction is necessary for large-scale quantum computing. A promising quantum error correcting code is the surface code. For this code, fault-tolerant quantum computing (FTQC) can be performed via lattice surgery, i.e.,…

Quantum Physics · Physics 2024-09-04 Daniel Bochen Tan , Murphy Yuezhen Niu , Craig Gidney

Quantum error correction is a fundamental primitive of fault-tolerant quantum computing. But in order for error correction to proceed, one must first prepare the codespace of the underlying error-correcting code. A popular method for…

Quantum Physics · Physics 2025-10-08 Yifan Hong

The implementation of large-scale fault-tolerant quantum computers calls for the integration of millions of physical qubits, with error rates of physical qubits significantly below 1%. This outstanding engineering challenge may benefit from…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Jeroen Danon , Anasua Chatterjee , András Gyenis , Ferdinand Kuemmeth

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

The storage and processing of quantum information are susceptible to external noise, resulting in computational errors that are inherently continuous A powerful method to suppress these effects is to use quantum error correction. Typically,…

Fault-tolerant quantum computation traditionally incurs substantial resource overhead, with both qubit and time overheads scaling polylogarithmically with the size of the computation. While prior work by Gottesman showed that constant qubit…

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

Quantum error correction (QEC) is a cornerstone of quantum computing, enabling reliable information processing in the presence of noise. Sparse stabilizer codes -- referred to generally as quantum low-density parity-check (QLDPC) codes --…

Quantum Physics · Physics 2025-10-20 Bane Vasic , Valentin Savin , Michele Pacenti , Shantom Borah , Nithin Raveendran

Quantum error correcting codes protect quantum information, allowing for large quantum computations provided that physical error rates are sufficiently low. We combine post-selection with surface code error correction through the use of a…

Quantum Physics · Physics 2024-12-23 Samuel C. Smith , Benjamin J. Brown , Stephen D. Bartlett

It is well understood that a two-dimensional grid of locally-interacting qubits is a promising platform for achieving fault tolerant quantum computing. However in the near-future, it may prove less challenging to develop lower dimensional…

Quantum Physics · Physics 2024-11-28 Adam Siegel , Armands Strikis , Michael Fogarty

Quantum error correction is rapidly seeing first experimental implementations, but there is a significant gap between asymptotically optimal error-correcting codes and codes that are experimentally feasible. Quantum LDPC codes range from…