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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,…

Quantum error correction (QEC) is indispensable for scalable quantum computing, but implementing it with minimal hardware overhead remains a central challenge. Large spin systems with collective degrees of freedom offer a promising route to…

Quantum Physics · Physics 2026-03-18 Charlotte Franke , Dorian A. Gangloff

Active quantum error correction using qubit stabilizer codes has emerged as a promising, but experimentally challenging, engineering program for building a universal quantum computer. In this review we consider the formalism of qubit…

Quantum Physics · Physics 2015-04-13 Barbara M. Terhal

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

Given a quantum gate circuit, how does one execute it in a fault-tolerant architecture with as little overhead as possible? In this paper, we discuss strategies for surface-code quantum computing on small, intermediate and large scales.…

Quantum Physics · Physics 2019-03-07 Daniel Litinski

We discuss the scalability of superconducting quantum computers, especially in a wiring problem. The number of wiring inside a cryostat is almost proportional to the number of qubits in current wiring architectures. We introduce regularity,…

Quantum Physics · Physics 2021-06-22 Yutaka Tabuchi , Shuhei Tamate , Shinichi Yorozu

Spin qubits in semiconductor quantum dots represent a prominent family of solid-state qubits in the effort to build a quantum computer. They are formed when electrons or holes are confined in a static potential well in a semiconductor,…

Mesoscale and Nanoscale Physics · Physics 2022-04-12 Shannon Harvey

Donor-based spin qubit offers a promising silicon quantum computing route for building large-scale qubit arrays, attributed to its long coherence time and advancements in nanoscale donor placement. However, the state-of-the-art device…

Mesoscale and Nanoscale Physics · Physics 2024-12-31 Shihang Zhang , Yu He , Peihao Huang

Coherent spatial transport or shuttling of a single electron spin through semiconductor nanostructures is an important ingredient in many spintronic and quantum computing applications. In this work we analyze the possible errors in…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Xiao Li , Edwin Barnes , Jason P. Kestner , S. Das Sarma

The development of robust architectures capable of large-scale fault-tolerant quantum computation should consider both their quantum error-correcting codes, and the underlying physical qubits upon which they are built, in tandem. Following…

Quantum Physics · Physics 2021-10-19 Andrew S. Darmawan , Benjamin J. Brown , Arne L. Grimsmo , David K. Tuckett , Shruti Puri

Quantum optimal control theory allows to design accurate quantum gates. We employ it to design high-fidelity two-bit gates for Josephson charge qubits in the presence of both leakage and noise. Our protocol considerably increases the…

Quantum Physics · Physics 2009-11-13 Simone Montangero , Tommaso Calarco , Rosario Fazio

Fault-tolerant quantum error correction is essential for implementing quantum algorithms of significant practical importance. In this work, we propose a highly effective use of the surface-GKP code, i.e., the surface code consisting of…

Quantum Physics · Physics 2022-02-01 Kyungjoo Noh , Christopher Chamberland , Fernando G. S. L. Brandão

Noise and errors are inevitable parts of any practical implementation of a quantum computer. As a result, large-scale quantum computation will require ways to detect and correct errors on quantum information. Here, we present such a quantum…

Fault-tolerant quantum computing is crucial for realizing large-scale quantum computation, and the interplay between hardware architecture and quantum error-correcting codes is a key consideration. We present a comparative study of two…

Fault-tolerant quantum operation is a key requirement for the development of quantum computing. This has been realized in various solid-state systems including isotopically purified silicon which provides a nuclear spin free environment for…

Mesoscale and Nanoscale Physics · Physics 2016-08-17 K. Takeda , J. Kamioka , T. Otsuka , J. Yoneda , T. Nakajima , M. R. Delbecq , S. Amaha , G. Allison , T. Kodera , S. Oda , S. Tarucha

A scalable and programmable quantum computer holds the potential to solve computationally intensive tasks that classical computers cannot accomplish within a reasonable time frame, achieving quantum advantage. However, the vulnerability of…

Quantum Physics · Physics 2025-03-04 Younghun Kim , Martin Sevior , Muhammad Usman

A key virtue of spin qubits is their sub-micron footprint, enabling a single silicon chip to host the millions of qubits required to execute useful quantum algorithms with error correction. With each physical qubit needing multiple control…

We discuss stabilizer quantum-error correction codes implemented in a single multi-level qudit to avoid resource escalation typical of multi-qubit codes. These codes can be customized to the specific physical errors on the qudit,…

Quantum Physics · Physics 2024-10-16 Matteo Mezzadri , Alessandro Chiesa , Luca Lepori , Stefano Carretta

We present a scheme for correcting for crosstalk- and noise-induced errors in exchange-coupled singlet-triplet semiconductor double quantum dot qubits. While exchange coupling allows the coupling strength to be controlled independently of…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Donovan Buterakos , Robert E. Throckmorton , S. Das Sarma

We realize Surface Code quantum memories for nearest-neighbor qubits with always-on Ising interactions. This is done by utilizing multi-qubit gates that mimic the functionality of several gates. The previously proposed Surface Code memories…

Quantum Physics · Physics 2019-10-22 Sahar Daraeizadeh , Sarah Mostame , Preethika Kumar Eslami , Marek Perkowski , Xiaoyu Song