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In this thesis we examine a variety of techniques for reducing the resources required for fault-tolerant quantum computation. First, we show how to simplify universal encoded computation by using only transversal gates and standard error…

量子物理 · 物理学 2014-10-21 Adam Paetznick

We investigate a family of fault-tolerant quantum error correction schemes based on the concatenation of small error detection or error correction codes with the three-dimensional cluster state. We propose fault-tolerant state preparation…

量子物理 · 物理学 2023-08-23 Zhaoyi Li , Isaac Kim , Patrick Hayden

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure…

量子物理 · 物理学 2011-02-22 David S. Wang , Austin G. Fowler , Lloyd C. L. Hollenberg

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…

We present a theoretical framework for state-adaptive quantum error correction that bridges the gap between quantum computing and error correction paradigms. By incorporating knowledge of quantum states into the error correction process, we…

量子物理 · 物理学 2026-02-02 D. -S. Wang

Current experiments are taking the first steps toward noise-resilient logical qubits. Crucially, a quantum computer must not merely store information, but also process it. A fault-tolerant computational procedure ensures that errors do not…

量子物理 · 物理学 2018-11-13 Earl T. Campbell , Barbara M. Terhal , Christophe Vuillot

We investigate the thermodynamic limits on scaling fault-tolerant quantum computers due to heating from quantum error correction (QEC). Quantum computers require error correction, which accounts for 99.9% of the qubit demand and generates…

量子物理 · 物理学 2025-01-03 Mykhailo Bilokur , Sarang Gopalakrishnan , Shayan Majidy

Quantum error correction plays an important role in fault-tolerant quantum information processing. It is usually difficult to experimentally realize quantum error correction, as it requires multiple qubits and quantum gates with high…

量子物理 · 物理学 2020-11-10 Qihao Guo , Yuan-Yuan Zhao , Markus Grassl , Xinfang Nie , Guo-Yong Xiang , Tao Xin , Zhang-Qi Yin , Bei Zeng

Building reliable quantum computers requires protecting fragile quantum states from inevitable environmental noise and operational errors. While quantum error correction codes like the Steane $[\![7,1,3]\!]$ code provide elegant theoretical…

量子物理 · 物理学 2026-01-14 Soham Bhadra , Diyansha Singh , Angana Chowdhury

Quantum computation must be performed in a fault-tolerant manner to be realizable in practice. Recent progress has uncovered quantum error-correcting codes with sparse connectivity requirements and constant qubit overhead. Existing schemes…

量子物理 · 物理学 2026-04-20 Dominic J. Williamson , Theodore J. Yoder

Steane's seven-qubit quantum code is a natural choice for fault-tolerance experiments because it is small and just two extra qubits are enough to correct errors. However, the two-qubit error-correction technique, known as "flagged" syndrome…

量子物理 · 物理学 2020-12-07 Ben W. Reichardt

Threshold theorems for fault-tolerant quantum computing assume that errors are of certain types. But how would one detect whether errors of the "wrong" type occur in one's experiment, especially if one does not even know what type of error…

量子物理 · 物理学 2015-06-16 Lucia Schwarz , Steven van Enk

Blind quantum computation is an appealing use of quantum information technology because it can conceal both the client's data and the algorithm itself from the server. However, problems need to be solved in the practical use of blind…

量子物理 · 物理学 2021-11-23 Chia-Hung Chien , Rodney Van Meter , Sy-Yen Kuo

We present a blueprint for building a fault-tolerant universal quantum computer with Rydberg atoms. Our scheme, which is based on the surface code, uses individually-addressable optically-trapped atoms as qubits and exploits…

量子物理 · 物理学 2017-11-21 James M. Auger , Silvia Bergamini , Dan E. Browne

We use a combination of analytical and numerical techniques to calculate the noise threshold and resource requirements for a linear optical quantum computing scheme based on parity-state encoding. Parity-state encoding is used at the lowest…

量子物理 · 物理学 2013-05-29 A. J. F. Hayes , H. L. Haselgrove , Alexei Gilchrist , T. C. Ralph

The stabilization of a quantum computer by repeated error correction can be reduced almost entirely to repeated preparation of blocks of qubits in quantum codeword states. These are multi-particle entangled states with a high degree of…

量子物理 · 物理学 2007-05-23 Andrew M. Steane

A major goal for fault-tolerant quantum computation (FTQC) is to reduce the overhead needed for error correction. One approach is to use block codes that encode multiple qubits, which can achieve significantly higher rates for the same code…

量子物理 · 物理学 2015-04-16 Todd A. Brun , Yi-Cong Zheng , Kung-Chuan Hsu , Joshua Job , Ching-Yi Lai

The hope of the quantum computing field is that quantum architectures are able to scale up and realize fault-tolerant quantum computing. Due to engineering challenges, such ''cheap'' error correction may be decades away. In the meantime, we…

量子物理 · 物理学 2025-02-17 Rutuja Kshirsagar , Amara Katabarwa , Peter D. Johnson

Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an…

量子物理 · 物理学 2026-04-17 Nico Meyer , Christopher Mutschler , Dominik Seuß , Andreas Maier , Daniel D. Scherer

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…

量子物理 · 物理学 2025-01-29 Hayata Yamasaki , Masato Koashi