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Quantum error detection can produce unbiased expectation values that exponentially converge to noiseless results as the code distance is increased. Despite this, its performance as an error mitigation technique is relatively understudied on…

量子物理 · 物理学 2026-05-05 Yanis Le Fur , Ethan Egger , Hong-Ye Hu , Vincent Russo , William J. Zeng , Ryan LaRose

The surface code, one of the leading candidates for quantum error correction, is known to protect encoded quantum information against stochastic, i.e., incoherent errors. The protection against coherent errors, such as from unwanted gate…

量子物理 · 物理学 2025-10-28 Jan Behrends , Benjamin Béri

Artificial Neural Networks (ANNs) are a promising approach to the decoding problem of Quantum Error Correction (QEC), but have observed consistent difficulty when generalising performance to larger QEC codes. Recent scalability-focused…

量子物理 · 物理学 2026-05-08 Spiro Gicev , Lloyd C. L. Hollenberg , Muhammad Usman

To produce an operable quantum computer that is made with imperfect hardware, we must design and test scalable quantum error correcting codes that are suited for the devices we can build and, in unison, develop decoding strategies that…

Quantum computers have the potential to change the way we solve computational problems. Due to the noisy nature of qubits, the need arises to correct physical errors occurring during computation. The surface code is a promising candidate…

量子物理 · 物理学 2024-05-06 Gyorgy P. Geher , Ophelia Crawford , Earl T. Campbell

It is well understood that a two-dimensional grid of locally-interacting qubits is a promising platform for achieving fault tolerant quantum computing. However in the near-future, it may prove less challenging to develop lower dimensional…

量子物理 · 物理学 2024-11-28 Adam Siegel , Armands Strikis , Michael Fogarty

Hypergraph product codes are a class of constant-rate quantum low-density parity-check (LDPC) codes equipped with a linear-time decoder called small-set-flip (SSF). This decoder displays sub-optimal performance in practice and requires very…

量子物理 · 物理学 2021-04-21 Antoine Grospellier , Lucien Grouès , Anirudh Krishna , Anthony Leverrier

The network paradigm for quantum computing involves interconnecting many modules to form a scalable machine. Typically it is assumed that the links between modules are prone to noise while operations within modules have significantly higher…

量子物理 · 物理学 2016-10-05 Ying Li , Simon C. Benjamin

Whether it is at the fabrication stage or during the course of the quantum computation, e.g. because of high-energy events like cosmic rays, the qubits constituting an error correcting code may be rendered inoperable. Such defects may…

量子物理 · 物理学 2023-07-26 Adam Siegel , Armands Strikis , Thomas Flatters , Simon Benjamin

Hook errors are a major challenge in implementing logical operations with the surface code, because they can reduce the fault distance below the code distance. This motivates syndrome-extraction circuits that suppress hook-error effects for…

量子物理 · 物理学 2026-03-03 Yuga Hirai , Shota Ikari , Yosuke Ueno , Yasunari Suzuki

Two-dimensional color codes are a promising candidate for fault-tolerant quantum computing, as they have high encoding rates, transversal implementation of logical Clifford gates, and resource-efficient magic state preparation schemes.…

量子物理 · 物理学 2025-01-29 Seok-Hyung Lee , Andrew Li , Stephen D. Bartlett

Large-scale, fault-tolerant quantum computations will be enabled by quantum error-correcting codes (QECC). This work presents the first systematic technique to test the accuracy and effectiveness of different QECC decoding schemes by…

量子物理 · 物理学 2023-11-22 Arshpreet Singh Maan , Alexandru Paler

Quantum computers must be able to function in the presence of decoherence. The simplest strategy for decoherence reduction is dynamical decoupling (DD), which requires no encoding overhead and works by converting quantum gates into…

量子物理 · 物理学 2018-12-05 Bibek Pokharel , Namit Anand , Benjamin Fortman , Daniel Lidar

Biased-noise qubits, in which one type of error (e.g. $X$- and $Y$-type errors) is significantly suppressed relative to the other (e.g. $Z$-type errors), can significantly reduce the overhead of quantum error correction. Codes such as the…

量子物理 · 物理学 2026-01-19 Peter Shanahan , Diego Ruiz

Scalable realisation of quantum computing is reliant on the development of fault tolerant devices. Analysis of quantum error correction protocols typically considers incoherent noise models or noise-free syndrome measurements. While this is…

量子物理 · 物理学 2026-05-29 Ben Harper , Azar C. Nakhl , Martin Sevior , Muhammad Usman

Surface codes exploit topological protection to increase error resilience in quantum computing devices and can in principle be implemented in existing hardware. They are one of the most promising candidates for active error correction, not…

量子物理 · 物理学 2016-09-22 Bettina Heim , Krysta M. Svore , Matthew B. Hastings

The XZZX code is a variant of the surface code tailored to address biased noise in realistic quantum devices. We propose a simulated annealing (SA) decoder for the XZZX code. Our SA decoder is amenable to parallelization because its MCMC…

量子物理 · 物理学 2026-03-06 Tatsuya Sakashita

The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources,…

量子物理 · 物理学 2025-04-16 Zeyuan Zhou , Andrew Ji , Yongshan Ding

Quantum error correction codes (QECCs) are critical for realizing reliable quantum computing by protecting fragile quantum states against noise and errors. However, limited research has analyzed the noise resilience of QECCs to help select…

量子物理 · 物理学 2025-04-22 Avimita Chatterjee , Subrata Das , Swaroop Ghosh

Connecting multiple processors via quantum interconnect technologies could help overcome scalability issues in single-processor quantum computers. Transmission via these interconnects can be performed more efficiently using quantum…