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Scalable quantum error mitigation with phase-cycled dynamical decoupling

Weibin Ni, Zhijie Li, Guanyu Qu, Zhecheng Sun, Jiale Dai, Fazhan Shi, Lei Sun
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⚡ Quantum Brief
Researchers introduced a novel quantum error mitigation technique called Hadamard phase cycling, designed to address control errors in dynamical decoupling—a key method for suppressing qubit decoherence in NISQ-era devices. The method leverages group theory to create phase configurations in ensemble quantum circuits, filtering out erroneous outputs while scaling linearly with circuit depth, making it practical for near-term quantum hardware. Experiments demonstrated its effectiveness across multiple qubit platforms, including solid-state electron spins in paramagnetic molecules, nitrogen-vacancy centers, trapped ions, and superconducting transmons, correcting long-standing decoherence time overestimations. Unlike traditional dynamical decoupling sequences (e.g., UDD or CPMG), this approach mitigates both decoherence and control errors simultaneously, resolving a decades-old challenge in accurate qubit characterization. The integration of scalable error suppression and mitigation could accelerate progress toward fault-tolerant quantum computing by improving reliability in noisy, intermediate-scale quantum processors.
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Quantum Physics arXiv:2511.12227 (quant-ph) [Submitted on 15 Nov 2025] Title:Scalable quantum error mitigation with phase-cycled dynamical decoupling Authors:Weibin Ni, Zhijie Li, Guanyu Qu, Zhecheng Sun, Jiale Dai, Fazhan Shi, Lei Sun View a PDF of the paper titled Scalable quantum error mitigation with phase-cycled dynamical decoupling, by Weibin Ni and 6 other authors View PDF HTML (experimental) Abstract:The realization of quantum technologies in the Noisy Intermediate-Scale Quantum era is severely constrained by qubit decoherence and control errors, presenting fundamental challenges to achieving quantum advantages. Dynamical decoupling is a widely used, powerful technique for decoherence error suppression. However, it is susceptible to control errors, making non-robust sequences like UDD impractical to implement and robust ones like CPMG to significantly overestimate decoherence times. This overestimation issue remains largely unexplored in the past few decades, leading to many reports of exceptionally long yet plausible decoherence times across various qubit platforms. Here, we construct Hadamard phase cycling as a non-Markovian quantum error mitigation method for dynamical decoupling. This method exploits group structure to design phase configurations of equivalent ensemble quantum circuits, effectively eliminates circuit outputs generated from erroneous dynamics, and scales linearly with circuit depth. Harnessing its error mitigation capability for ensemble solid-state electron spin qubits embedded in paramagnetic molecules and nitrogen-vacancy centers in diamond enables accurate acquisition of decoherence times. Applying Hadamard phase cycling on single trapped ion and superconducting transmon qubits effectively preserves their state fidelity during dynamical decoupling. The integration of scalable quantum error mitigation and suppression would facilitate the development of quantum technologies with noisy qubits and control hardware. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2511.12227 [quant-ph] (or arXiv:2511.12227v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2511.12227 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Lei Sun [view email] [v1] Sat, 15 Nov 2025 14:04:54 UTC (9,705 KB) Full-text links: Access Paper: View a PDF of the paper titled Scalable quantum error mitigation with phase-cycled dynamical decoupling, by Weibin Ni and 6 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2025-11 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) Links to Code Toggle Papers with Code (What is Papers with Code?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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quantum-advantage
quantum-error-correction
quantum-hardware
quantum-investment
superconducting-qubits
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