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The field of quantum computation currently lacks a formal proof of experimental feasibility. Qubits are fragile and sophisticated quantum error correction is required to achieve reliable quantum computation. The surface code is a promising…

Quantum Physics · Physics 2012-12-04 Austin G. Fowler

Topological subsystem codes can combine the advantages of both topological codes and subsystem codes. Suchara et al. proposed a framework based on hypergraphs for construction of such codes. They also studied the performance of some…

Quantum Physics · Physics 2018-06-01 Vinuta V. Gayatri , Pradeep Kiran Sarvepalli

The usual scenario in fault tolerant quantum computation involves certain amount of qubits encoded in each code block, transversal operations between them and destructive measurements of ancillary code blocks. We introduce a new approach in…

Quantum Physics · Physics 2015-05-13 H. Bombin , M. A. Martin-Delgado

Fault-tolerant quantum computing (FTQC) is emerging as the architectural regime in which practical large-scale quantum workloads will execute. In this setting, however, multiprogramming is no longer a matter of partitioning a flat pool of…

Quantum Physics · Physics 2026-04-30 Archisman Ghosh , Avimita Chatterjee , Swaroop Ghosh

Quantum error correction is a crucial technology for fault tolerant quantum computing. On superconducting platforms, hardware defects in large scale quantum processors can disrupt the regular lattice structure of topological codes and…

Quantum Physics · Physics 2026-04-08 Tian-Hao Wei , Jia-Xuan Zhang , Jia-Ning Li , Wei-Cheng Kong , Yu-Chun Wu , Guo-Ping Guo

Quantum Error Correction (QEC) is essential for future quantum computers due to its ability to exponentially suppress physical errors. The surface code is a leading error-correcting code candidate because of its local topological structure,…

We introduce tile codes, a simple yet powerful way of constructing quantum codes that are local on a planar 2D-lattice. Tile codes generalize the usual surface code by allowing for a bit more flexibility in terms of locality and stabilizer…

Runtime optimization of the quantum computing within a given computational resource is important to achieve practical quantum advantage. In this paper, we propose a runtime reduction protocol for the lattice surgery, which utilizes the soft…

Quantum Physics · Physics 2025-10-27 Yutaro Akahoshi , Riki Toshio , Jun Fujisaki , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

A central challenge for the scaling of quantum computing systems is the need to control all qubits in the system without a large overhead. A solution for this problem in classical computing comes in the form of so called crossbar…

Quantum Physics · Physics 2018-03-28 Jonas Helsen , Mark Steudtner , Menno Veldhorst , Stephanie Wehner

In this paper, we formally describe the three challenges of mapping surface code on superconducting devices, and present a comprehensive synthesis framework to overcome these challenges. The proposed framework consists of three…

Quantum Physics · Physics 2021-11-30 Anbang Wu , Gushu Li , Hezi Zhang , Gian Giacomo Guerreschi , Yufei Ding , Yuan Xie

Logical gates constitute the building blocks of fault-tolerant quantum computation. While quantum error-corrected memories have been extensively studied in the literature, explicit constructions and detailed analyses of thresholds and…

Atomic, molecular and optical (AMO) approaches to quantum computing are promising due to their increased connectivity, long coherence times and apparent scalability. However, they have a significantly reduced cadence of syndrome extraction…

Quantum Physics · Physics 2025-05-30 Mark L. Turner , Earl T. Campbell , Ophelia Crawford , Neil I. Gillespie , Joan Camps

To build a fault-tolerant quantum computer, it is necessary to implement a quantum error correcting code. Such codes rely on the ability to extract information about the quantum error syndrome while not destroying the quantum information…

We study how well topological quantum codes can tolerate coherent noise caused by systematic unitary errors such as unwanted $Z$-rotations. Our main result is an efficient algorithm for simulating quantum error correction protocols based on…

Quantum Physics · Physics 2018-11-01 Sergey Bravyi , Matthias Englbrecht , Robert Koenig , Nolan Peard

Quantum technologies have the potential to solve certain computationally hard problems with polynomial or super-polynomial speedups when compared to classical methods. Unfortunately, the unstable nature of quantum information makes it prone…

Recently, usage of detecting regions facilitated the discovery of new circuits for fault-tolerantly implementing the surface code. Building on these ideas, we present LUCI, a framework for constructing fault-tolerant circuits flexible…

Quantum Physics · Physics 2026-03-10 Dripto M. Debroy , Matt McEwen , Craig Gidney , Noah Shutty , Adam Zalcman

Spatially-coupled (SC) codes are a family of graph-based codes that have attracted significant attention thanks to their capacity approaching performance and low decoding latency. An SC code is constructed by partitioning an underlying…

Information Theory · Computer Science 2018-02-20 Homa Esfahanizadeh , Ahmed Hareedy , Lara Dolecek

The surface code is one of the leading quantum error correction codes for realizing large-scale fault-tolerant quantum computing (FTQC). One major challenge in realizing surface-code-based FTQC is the extremely large number of qubits…

Quantum Physics · Physics 2026-05-19 Kohei Fujiu , Shota Nagayama , Shin Nishio , Hideaki Kawaguchi , Takahiko Satoh

Qubit shuttling has become an indispensable ingredient for scaling leading quantum computing platforms, including semiconductor spin, neutral-atom, and trapped-ion qubits, enabling both crosstalk reduction and tighter integration of control…

Quantum Physics · Physics 2026-03-16 Zhu Sun , Zhenyu Cai

Quantum error correction is a cornerstone of reliable quantum computing, with surface codes emerging as a prominent method for protecting quantum information. Surface codes are efficient for Clifford gates but require magic state…

Quantum Physics · Physics 2025-03-13 Avimita Chatterjee , Archisman Ghosh , Swaroop Ghosh
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