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The typical time-independent view of quantum error correction (QEC) codes hides significant freedom in the decomposition into circuits that are executable on hardware. Using the concept of detecting regions, we design time-dynamic QEC…

Quantum Physics · Physics 2023-11-08 Matt McEwen , Dave Bacon , Craig Gidney

Quantum computing platforms are evolving to a point where placing high numbers of qubits into a single core comes with certain difficulties such as fidelity, crosstalk, and high power consumption of dense classical electronics. Utilizing…

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…

Quantum Physics · Physics 2014-10-21 Adam Paetznick

We describe a space-time optimized circuit for the table lookup subroutine from lattice-surgery surface code primitives respecting 2D grid connectivity. Table lookup circuits are ubiquitous in quantum computing, allowing the presented…

Quantum Physics · Physics 2023-11-27 Thomas Häner , Vadym Kliuchnikov , Martin Roetteler , Mathias Soeken

We propose a measurement-based FTQC (MB-FTQC) architecture for high-connectivity platforms such as trapped ions and neutral atoms. The key idea is to use verified logical ancillas combined with Knill's error-correcting teleportation,…

Quantum Physics · Physics 2025-12-10 Yohei Ibe , Yutaka Hirano , Yasuo Ozu , Toru Kawakubo , Keisuke Fujii

Surface codes can protect quantum information stored in qubits from local errors as long as the per-operation error rate is below a certain threshold. Here we propose holonomic surface codes by harnessing the quantum holonomy of the system.…

Quantum Physics · Physics 2018-03-07 Jiang Zhang , Simon J. Devitt , J. Q. You , Franco Nori

We present an architecture-algorithm co-design study of the Optimistic Quantum Fourier Transform (OQFT) under a surface-code fault-tolerant execution model for reconfigurable neutral-atom hardware. Analyzing the OQFT structure, particularly…

Quantum Physics · Physics 2026-05-18 Pedro L. S. Lopes

Quantum computation holds the promise of solving certain complex problems exponentially faster than classical computers. However, the high prevalent noise in current quantum devices impedes the accurate execution of even basic algorithms.…

Quantum Physics · Physics 2026-05-13 Prithviraj Prabhu

Spin qubits in silicon quantum dots are one of the most promising building blocks for large scale quantum computers thanks to their high qubit density and compatibility with the existing semiconductor technologies. High fidelity…

In this work, we introduce a method to construct fault-tolerant measurement-based quantum computation (MBQC) architectures and numerically estimate their performance over various types of networks. A possible application of such a paradigm…

Quantum Physics · Physics 2025-05-07 Yves van Montfort , Sébastian de Bone , David Elkouss

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama

We propose two distinct methods of improving quantum computing protocols based on surface codes. First, we analyze the use of dislocations instead of holes to produce logical qubits, potentially reducing spacetime volume required.…

Quantum Physics · Physics 2015-10-05 M. B. Hastings , A. Geller

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

With the advent of exascale computing, effective load balancing in massively parallel software applications is critically important for leveraging the full potential of high performance computing systems. Load balancing is the distribution…

Quantum Physics · Physics 2025-01-30 Omer Rathore , Alastair Basden , Nicholas Chancellor , Halim Kusumaatmaja

Quantum Error Correction (QEC) codes form the foundation of Fault-Tolerant Quantum Computing (FTQC) and predominantly use the Clifford+T gate set. Recently, Clifford operations have become the key performance bottleneck in implementing QEC.…

Quantum Physics · Physics 2026-05-26 Meng Wang , Chenxu Liu , Samuel Stein , Yufei Ding , Poulami Das , Prashant J. Nair , Ang Li

To make practical quantum algorithms work, large-scale quantum processors protected by error-correcting codes are required to resist noise and ensure reliable computational outcomes. However, a major challenge arises from defects in…

Fault-tolerant quantum computation demands significant resources: large numbers of physical qubits must be checked for errors repeatedly to protect quantum data as logic gates are implemented in the presence of noise. We demonstrate that an…

Quantum Physics · Physics 2024-12-23 Felix Thomsen , Markus S. Kesselring , Stephen D. Bartlett , Benjamin J. Brown

Fault-tolerant logic gates will consume a large proportion of the resources of a two-dimensional quantum computing architecture. Here we show how to perform a fault-tolerant non-Clifford gate with the surface code; a quantum…

Quantum Physics · Physics 2021-04-20 Benjamin J. Brown

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

The preparation of a quantum state using a noisy quantum computer (gate noise strength $\delta$), will necessarily affect an O($\delta$)-fraction of the qubits, no matter which protocol is used. Here, we show that fault-tolerant quantum…

Quantum Physics · Physics 2026-02-20 Matthias Christandl , Omar Fawzi , Ashutosh Goswami