T-ResiSat-QIP: A T-Cost Efficient, Decoherence- Resilient, Cascadable Quantum Saturation Adder for Quantum Image Processing

T-ResiSat-QIP: A T-Cost Efficient, Decoherence- Resilient, Cascadable Quantum Saturation Adder for Quantum Image Processing | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Research Article T-ResiSat-QIP: A T-Cost Efficient, Decoherence- Resilient, Cascadable Quantum Saturation Adder for Quantum Image Processing Negin Mashayekhi, Mohammad Reza Reshadinezhad, Shekoofeh Moghimi This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-7554852/v1 This work is licensed under a CC BY 4.0 License Status: Under Revision Version 1 posted 10 You are reading this latest preprint version Abstract Reversible logic has become a fundamental paradigm in modern computing, serving as the theoretical basis for quantum computation. Clifford + T gates are used because of their robustness against decoherence faults in quantum circuits. However, the use of T gates introduces implementation challenges due to their relatively high cost. In quantum image processing, saturated arithmetic is essential to ensure that results, such as the sum of two numbers, remain within a strict valid range to prevent overflow. While a few quantum saturating adders exist, this work presents the first fault-tolerant Clifford + T-based saturating generator block. Its key innovation is a constant T-depth and low quantum cost, making it both cascadable and scalable for larger adders. Simulations in the Quirk tool confirm its accuracy, and results demonstrate a 26% T-depth and 13.3% T-count improvements of the proposed addition over current methods. This design applies to NEQR-based quantum image brightness adjustment. Quantum Computing Quantum Cost Quantum Saturation Adder Clifford + T gates Image Process Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Revision Version 1 posted Editorial decision: Revision requested 26 Apr, 2026 Reviews received at journal 09 Feb, 2026 Reviewers agreed at journal 27 Jan, 2026 Reviews received at journal 07 Nov, 2025 Reviewers agreed at journal 23 Oct, 2025 Reviewers agreed at journal 23 Oct, 2025 Reviewers invited by journal 23 Oct, 2025 Editor assigned by journal 23 Oct, 2025 Submission checks completed at journal 16 Sep, 2025 First submitted to journal 07 Sep, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-7554852","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":538672402,"identity":"876ba1b1-6abd-4bfe-a433-0993c9008ab3","order_by":0,"name":"Negin Mashayekhi","email":"","orcid":"","institution":"University of Isfahan","correspondingAuthor":false,"prefix":"","firstName":"Negin","middleName":"","lastName":"Mashayekhi","suffix":""},{"id":538672404,"identity":"e64fe701-d57a-4738-9153-b0909b24767a","order_by":1,"name":"Mohammad Reza 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