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Topological error-correcting codes, such as surface codes and color codes, are promising because quantum operations are realized by two-dimensionally (2D) arrayed quantum bits (qubits). However, physical wiring of electrodes to qubits is…

Quantum Physics · Physics 2017-09-06 Tetsufumi Tanamoto , Hayato Goto

Recent experimental progress in realizing surface code on hardware, including demonstrations of break-even logical memory on devices with up to hundreds of physical qubits, has materially advanced the prospects for fault-tolerant quantum…

Large scale quantum circuits are required to exploit the advantages of quantum computers. Despite significant advancements in quantum hardware, scalability remains a challenge, with errors accumulating as more qubits and gates are added. To…

Quantum Physics · Physics 2025-10-29 Younghun Kim , Hansol Kim , Jeongsoo Kang , Wonjae Choi , Younghun Kwon

Spin qubits in silicon quantum dot arrays are a promising quantum computation platform for long-term scalability due to their small qubit footprint and compatibility with advanced semiconductor manufacturing. However, spin qubit devices…

Quantum Physics · Physics 2026-03-11 Jason D. Chadwick , Willers Yang , Joshua Viszlai , Frederic T. Chong

The fragile nature of quantum information limits our ability to construct large quantities of quantum bits suitable for quantum computing. An important goal, therefore, is to minimize the amount of resources required to implement quantum…

Quantum Physics · Physics 2013-04-11 Adam Paetznick , Austin G. Fowler

More computational resources (i.e., more physical qubits and qubit connections) on a superconducting quantum processor not only improve the performance but also result in more complex chip architecture with lower yield rate. Optimizing both…

Quantum Physics · Physics 2019-12-02 Gushu Li , Yufei Ding , Yuan Xie

Quantum networks serve as the means to transmit information, encoded in quantum bits or qubits, between quantum processors that are physically separated. Given the instability of qubits, the design of such networks is challenging,…

Quantum Physics · Physics 2023-10-23 Tianjie Hu , Jindi Wu , Qun Li

In this work we introduce two code families, which we call the heavy hexagon code and heavy square code. Both code families are implemented by assigning physical data and ancilla qubits to both vertices and edges of low degree graphs. Such…

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

Current quantum processors are fragile, noisy and fairly limited in both quantity and quality with tens of qubits and physical error rates of around 10^-3. To realize practical quantum applications, however, error rates need to be below…

Quantum Physics · Physics 2025-04-25 Hany Ali

The performance of quantum error correction schemes depends sensitively on the physical realizations of the qubits and the implementations of various operations. For example, in quantum dot spin qubits, readout is typically much slower than…

Quantum computers are expected to scale in size to close the gap that currently exists between quantum algorithms and quantum hardware. To this end, quantum compilation techniques must scale along with the hardware constraints, shifting the…

Quantum Physics · Physics 2025-01-22 Pau Escofet , Alejandro Gonzalvo , Eduard Alarcón , Carmen G. Almudéver , Sergi Abadal

As quantum computers scale toward millions of physical qubits, it becomes essential to robustly encode individual logical qubits to ensure fault tolerance under realistic noise. A high-quality foundational encoding allows future compilation…

As the leading candidate of quantum error correction codes, surface code suffers from significant overhead, such as execution time. Reducing the circuit's execution time not only enhances its execution efficiency but also improves fidelity.…

Quantum Physics · Physics 2023-12-27 Mingzheng Zhu , Hao Fu , Jun Wu , Chi Zhang , Wei Xie , Xiang-Yang Li

In this work we propose a high-quality decomposition approach for qubit routing by swap insertion. This optimization problem arises in the context of compiling quantum algorithms onto specific quantum hardware. Our approach decomposes the…

Quantum Physics · Physics 2023-05-15 Friedrich Wagner , Andreas Bärmann , Frauke Liers , Markus Weissenbäck

In some physical implementations of quantum computers, 2-qubit operations can be applied only on certain pairs of qubits. Compilation of a quantum circuit into one compliant to such qubit connectivity constraint results in an increase of…

Quantum Physics · Physics 2025-06-04 Pei Yuan , Shengyu Zhang

Spin qubits in quantum dots provide a promising platform for realizing large-scale quantum processors since they have a small characteristic size of a few tens of nanometers. One difficulty of controlling e.g., a few thousand qubits on a…

Mesoscale and Nanoscale Physics · Physics 2025-03-20 Dávid Pataki , András Pályi

The surface code is a quantum error-correcting code for one logical qubit, protected by spatially localized parity checks in two dimensions. Due to fundamental constraints from spatial locality, storing more logical qubits requires either…

Quantum Physics · Physics 2024-10-15 Yifan Hong , Matteo Marinelli , Adam M. Kaufman , Andrew Lucas

Erasure qubits offer a promising avenue toward reducing the overhead of quantum error correction (QEC) protocols. However, they require additional operations, such as erasure checks, that may add extra noise and increase runtime of QEC…

Quantum Physics · Physics 2026-01-15 Shouzhen Gu , Yotam Vaknin , Alex Retzker , Aleksander Kubica

Compiling a high-level quantum circuit down to a low-level description that can be executed on state-of-the-art quantum computers is a crucial part of the software stack for quantum computing. One step in compiling a quantum circuit to some…

Quantum Physics · Physics 2023-04-20 Tom Peham , Lukas Burgholzer , Robert Wille