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Non-Trivial Topological Majorana Architectures: Mobius and Trefoil Band Topologies evaluated by Signal to Noise Ratio and Coherence time mesuarements

Spandan Das, Ennis Mawas
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⚡ Quantum Brief
Researchers Spandan Das and Ennis Mawas compared three topological quantum architectures—a Möbius strip, loop, and trefoil knot—to assess their noise resilience and coherence, publishing findings in January 2026. The study found no significant difference in coherence times across the three geometries, suggesting topology alone doesn’t extend quantum state stability in these systems. However, signal-to-noise ratios varied markedly at 10 micro-eV and Z = -1, with the trefoil knot outperforming the Möbius strip and loop, indicating topology may influence readout fidelity. Using quantum capacitance measurements, the team analyzed power spectra and Lorentzian fits to extract key metrics like linewidth, amplitude, and decoherence rates. The results establish a baseline for distinguishing true topological effects from device-specific parameters in future experiments, advancing topological quantum computing research.
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Quantum Physics arXiv:2601.12182 (quant-ph) [Submitted on 17 Jan 2026] Title:Non-Trivial Topological Majorana Architectures: Mobius and Trefoil Band Topologies evaluated by Signal to Noise Ratio and Coherence time mesuarements Authors:Spandan Das, Ennis Mawas View a PDF of the paper titled Non-Trivial Topological Majorana Architectures: Mobius and Trefoil Band Topologies evaluated by Signal to Noise Ratio and Coherence time mesuarements, by Spandan Das and 1 other authors View PDF Abstract:Topological quantum computing is expected to be less sensitive to noise because information is stored in global states rather than local features. To examine whether different device topologies show measurable differences, we study three geometries with distinct topological invariants: a Mobius strip, a loop, and a trefoil knot, which have been proposed in electronic-structure settings. From quantum capacitance measurements, we extract power versus frequency spectra and fit Lorentzian line shapes to obtain the linewidth, amplitude, signal-to-noise ratio, and coherence time. The signal-to-noise ratio quantifies the ratio of the parity measurement signal to background noise and serves as an indicator of readout quality, while the coherence time characterizes the timescale for decoherence of the quantum state. Across all three topologies, coherence times are similar, with no clear dependence on geometry. In contrast, the signal-to-noise ratio differs in the regime E0 = 10 micro-eV and Z = -1, following the ordering Trefoil, Mobius, and Loop. These results provide a reference point for future experiments aimed at separating genuine topological effects from device-level parameters. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2601.12182 [quant-ph] (or arXiv:2601.12182v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2601.12182 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Ennis Mawas Mr. [view email] [v1] Sat, 17 Jan 2026 21:48:35 UTC (232 KB) Full-text links: Access Paper: View a PDF of the paper titled Non-Trivial Topological Majorana Architectures: Mobius and Trefoil Band Topologies evaluated by Signal to Noise Ratio and Coherence time mesuarements, by Spandan Das and 1 other authorsView PDFTeX Source view license Current browse context: quant-ph new | recent | 2026-01 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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