Binary Quantum Random Number Generator Based on Value Indefinite Observables

Binary Quantum Random Number Generator Based on Value Indefinite Observables | 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 Article Binary Quantum Random Number Generator Based on Value Indefinite Observables Karl Svozil, Cristian S. Calude This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3939841/v1 This work is licensed under a CC BY 4.0 License Status: Under Review Version 1 posted 11 You are reading this latest preprint version Abstract All quantum random number generators based on measuring value indefinite observables are at least three-dimensional because the Kochen-Specker Theorem and the Located Kochen-Specker Theorem are false in dimension two. In this article, we construct quantum random number generators based on measuring a three-dimensional value indefinite observable that generate binary quantum random outputs with the same randomness qualities as the ternary ones: the outputs are maximally unpredictable. Physical sciences/Physics/Quantum physics/Quantum information Physical sciences/Mathematics and computing/Computer science three-dimensional quantum random generator quantum quantum value indefinite observable Kochen- Specker Theorem Located Kochen-Specker Theorem maximal unpredictable sequences Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Under Review Version 1 posted Editorial decision: Revision requested 22 Apr, 2024 Reviews received at journal 21 Apr, 2024 Reviews received at journal 11 Apr, 2024 Reviewers agreed at journal 01 Apr, 2024 Reviewers agreed at journal 01 Apr, 2024 Reviewers agreed at journal 11 Mar, 2024 Reviewers invited by journal 08 Mar, 2024 Editor assigned by journal 08 Mar, 2024 Editor invited by journal 02 Mar, 2024 Submission checks completed at journal 02 Mar, 2024 First submitted to journal 08 Feb, 2024 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. We do this by developing innovative software and high quality services for the global research community. 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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-3939841","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":276571537,"identity":"b7502f41-326e-481b-a872-e978a19bc4a0","order_by":0,"name":"Karl Svozil","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABAUlEQVRIie2QPWvDMBBA7zBkEng94+L8BUGmQmj+ikVAXTuVQKB1MSiLIWuG/BgFDV36sQq6eOrsboEa2qvp0Jao6dhBb5GEeHqcACKRfwgBoB12SXLT8iL+osCngrW0XxQ6rgAasj9uDpKt7lsLvSvGKzTLF+NO0rzCbg9nVyElF+fSonETrNH4nXEi29oka2AerBSgwWKlVZ0MypOQvoScRwsr6TPP0mtlWLn4UGa+TF4BroNKTlyB0VQ1rMBQoXLEFRcef8MVZaYT4k+mu4c3QV6Z00beZlVAoUeNbddTMV67Xbe41LN0M3d+v1imocpA+f2I/L78VYhEIpHIEd4BnQ1QLeCPDtAAAAAASUVORK5CYII=","orcid":"","institution":"TU Wien","correspondingAuthor":true,"prefix":"","firstName":"Karl","middleName":"","lastName":"Svozil","suffix":""},{"id":276571538,"identity":"f457ea28-cc26-4d4b-b083-648a9a4c82b6","order_by":1,"name":"Cristian S. 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