--- title: Universal logical operations in a silicon quantum processor description: Researchers demonstrate the first fault-tolerant logical quantum processor in silicon using five phosphorus nuclear spins and the [[4,2,2]] quantum... canonical: https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c twitter:card: summary_large_image twitter:site: @dailydotdev og:type: website og:site_name: daily.dev og:title: Universal logical operations in a silicon quantum processor | daily.dev og:description: Researchers demonstrate the first fault-tolerant logical quantum processor in silicon using five phosphorus nuclear spins and the [[4,2,2]] quantum... og:url: https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c og:image: https://api.daily.dev/og/posts/Ex0BnTd2c.png og:image:alt: Universal logical operations in a silicon quantum processor og:image:width: 1200 og:image:height: 630 og:locale: en --- > ## Documentation Index > Fetch the complete documentation index at: https://daily.dev/llms.txt > Use this file to discover all available pages before exploring further. # Universal logical operations in a silicon quantum processor **[Nature](https://daily.dev/sources/nature)** · 41 min read · 0 upvotes · 0 comments ## Summary Researchers demonstrate the first fault-tolerant logical quantum processor in silicon using five phosphorus nuclear spins and the [[4,2,2]] quantum error-detecting code. The work achieves fault-tolerant preparation of logical states with fidelities up to 97.3%, implements a universal logical gate set including single-qubit gates (X, S, T) and a two-qubit CNOT gate, and realizes the non-Clifford T gate via the gate-by-measurement method. Magic states exceeding the distillation threshold are prepared. As a practical demonstration, a variational quantum eigensolver (VQE) algorithm is executed on two logical qubits to compute the ground-state energy of the water molecule H₂O. The system exhibits strongly biased noise (phase-flip dominated), which is theoretically beneficial for lowering fault-tolerance thresholds. This marks the first realization of universal logical operations in silicon spin qubits, representing a key milestone toward scalable fault-tolerant quantum computing. ## Full article daily.dev links to this article rather than hosting it. Read it at the original source: ## Similar posts on daily.dev - [Demonstrating a universal logical gate set in error-detecting surface codes on a superconducting quantum processor](https://daily.dev/posts/demonstrating-a-universal-logical-gate-set-in-error-detecting-surface-codes-on-a-superconducting-qua-y5oqo6fkh) · Nature · 1 upvotes · 0 comments - [Demonstration of measurement-free universal logical quantum computation](https://daily.dev/posts/demonstration-of-measurement-free-universal-logical-quantum-computation-b76xs6rdw) · Nature · 1 upvotes · 0 comments --- Tags: [#quantum-computing](https://daily.dev/tags/quantum-computing) [View this post on daily.dev](https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c) ```json {"@context":"https://schema.org","@graph":[{"@type":"Organization","@id":"https://daily.dev/#organization","name":"daily.dev","url":"https://daily.dev","logo":{"@type":"ImageObject","url":"https://daily.dev/apple-touch-icon.png","width":180,"height":180},"sameAs":["https://twitter.com/dailydotdev","https://github.com/dailydotdev","https://www.linkedin.com/company/daily-dev-ltd"]},{"@type":"WebSite","@id":"https://daily.dev/#website","url":"https://daily.dev","name":"daily.dev","publisher":{"@id":"https://daily.dev/#organization"},"potentialAction":{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https://daily.dev/search?q={search_term_string}"},"query-input":"required name=search_term_string"}}]} {"@context":"https://schema.org","@type":"TechArticle","headline":"Universal logical operations in a silicon quantum processor","url":"https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c","mainEntityOfPage":{"@type":"WebPage","@id":"https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c"},"datePublished":"2026-03-23T10:08:27.373Z","dateModified":"2026-03-23T10:08:55.447Z","description":"Researchers demonstrate the first fault-tolerant logical quantum processor in silicon using five phosphorus nuclear spins and the [[4,2,2]] quantum...","image":"https://media.daily.dev/image/upload/f_auto,q_auto/v1/posts/9f4654603c6ebe08515aaaaacaf89471?_a=AQAEuop","thumbnailUrl":"https://media.daily.dev/image/upload/f_auto,q_auto/v1/posts/9f4654603c6ebe08515aaaaacaf89471?_a=AQAEuop","isAccessibleForFree":true,"articleSection":"Nature","inLanguage":"en","publisher":{"@type":"Organization","name":"daily.dev","url":"https://daily.dev","logo":{"@type":"ImageObject","url":"https://daily.dev/apple-touch-icon.png","width":180,"height":180}},"author":{"@type":"Organization","name":"Nature","logo":"https://media.daily.dev/image/upload/t_logo,f_auto/v1/logos/c263038828ce4ac283ed3ffebfed20c1","url":"https://daily.dev/sources/nature"},"commentCount":0,"discussionUrl":"https://daily.dev/posts/universal-logical-operations-in-a-silicon-quantum-processor-ex0bntd2c","interactionStatistic":[{"@type":"InteractionCounter","interactionType":{"@type":"LikeAction"},"userInteractionCount":0},{"@type":"InteractionCounter","interactionType":{"@type":"CommentAction"},"userInteractionCount":0}],"keywords":"quantum-computing","timeRequired":"PT41M"} {"@context":"https://schema.org","@type":"BreadcrumbList","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https://daily.dev"},{"@type":"ListItem","position":2,"name":"Nature","item":"https://daily.dev/sources/nature"},{"@type":"ListItem","position":3,"name":"Universal logical operations in a silicon quantum processor"}]} ```