Secret Information Sharing using Multipartite Entanglement in Monty Hall Game

Secret Information Sharing using Multipartite Entanglement in Monty Hall Game | 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 Secret Information Sharing using Multipartite Entanglement in Monty Hall Game Hargeet Kaur, Kavit Shah, Debabrata Swain, Kaushal Shah This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-3252292/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 09 May, 2024 Read the published version in Photonic Network Communications → Version 1 posted 10 You are reading this latest preprint version Abstract Quantum computing has emerged as a useful resource for winning random games. Monty Hall problem is one such game where the powers of quantum mechanics can be utilized for winning the prize. Our paper depicts this problem as a two-player game, where the two players, i.e. the host and the participant share an entangled quantum state. The entangled state is closely knit with the position of the prize containing door, and the decision of the player i.e. either switch or stay from his initial choice of door. The two players are part of one team as they share a quantum communication channel among them by sharing the entangled state as a quantum resource. This enables them to share share secret information about the position of the price as well as the strategy to opt for winning the game. The article shows a unique way of utilizing three different type of entangled states, 3-qubit symmetric W state, 3-qubit X state, and 5-qubit highly entangled Brown state. Further, the effectiveness of each quantum state as a source of communication in disguise is also compared. All the entangled states under study assure winning the price by the participant. However, each quantum state has different entanglement degree and offer varied merits as per the game setting. Monty Hall Participant Host GHZ state Chi state Brown state Qubits Winning chances Full Text Additional Declarations No competing interests reported. Cite Share Download PDF Status: Published Journal Publication published 09 May, 2024 Read the published version in Photonic Network Communications → Version 1 posted Editorial decision: Major revision 26 Sep, 2023 Reviews received at journal 31 Aug, 2023 Reviews received at journal 28 Aug, 2023 Reviews received at journal 28 Aug, 2023 Reviewers agreed at journal 14 Aug, 2023 Reviewers agreed at journal 13 Aug, 2023 Reviewers invited by journal 13 Aug, 2023 Editor assigned by journal 13 Aug, 2023 Submission checks completed at journal 11 Aug, 2023 First submitted to journal 10 Aug, 2023 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-3252292","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Research Article","associatedPublications":[],"authors":[{"id":225880451,"identity":"de746c71-503a-4549-8901-071aef320780","order_by":0,"name":"Hargeet Kaur","email":"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZAAAAAyAQMAAABI0h/eAAAABlBMVEX///8AAABVwtN+AAAACXBIWXMAAA7EAAAOxAGVKw4bAAABB0lEQVRIiWNgGAWjYBACAxhDAkQk/LABkoyNB4jQYgDR8rAnDaSlgXgtjA/YDoO5eLWYs599/OJDxR8GyfYzZh8SeM7brW0/DLSlxiYalxbLnnQzyxlnDBikeXKMZyRY3E7ediYRqOVYWm4DLocdSGMz5m0zYJBjyDFmSOC5nWx2AKiFseEwbi3nn7EZ//0H1ML/BqiF7Vyy2fmHBLTcSGN+zNgAdJgEyBa2A3ZmNwjZcuMZG2PPMWMeyRnPihkSe5ITzG4AbUnA55fzacwfftTIyUmcT97M+OOHnb3Z+fSHDz7U2ODUAgRsoCjhgfESwSoTcCsHAeYPyDx7/IpHwSgYBaNgJAIAppJglCfgtJcAAAAASUVORK5CYII=","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":true,"submittingAuthor":false,"prefix":"","firstName":"Hargeet","middleName":"","lastName":"Kaur","suffix":""},{"id":225880452,"identity":"04762ca7-f812-44f6-83c1-933ba51b24e1","order_by":1,"name":"Kavit Shah","email":"","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Kavit","middleName":"","lastName":"Shah","suffix":""},{"id":225880453,"identity":"c56261f0-4d96-4179-9ed5-fe633ae46c8b","order_by":2,"name":"Debabrata Swain","email":"","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Debabrata","middleName":"","lastName":"Swain","suffix":""},{"id":225880454,"identity":"832af543-9924-49b4-94ac-4272eb100392","order_by":3,"name":"Kaushal Shah","email":"","orcid":"","institution":"Pandit Deendayal Energy University","correspondingAuthor":false,"submittingAuthor":false,"prefix":"","firstName":"Kaushal","middleName":"","lastName":"Shah","suffix":""}],"badges":[],"createdAt":"2023-08-10 12:44:27","currentVersionCode":1,"declarations":"","doi":"10.21203/rs.3.rs-3252292/v1","doiUrl":"https://doi.org/10.21203/rs.3.rs-3252292/v1","draftVersion":[],"editorialEvents":[{"content":"https://doi.org/10.1007/s11107-024-01017-4","type":"published","date":"2024-05-09T21:17:53+00:00"}],"editorialNote":"","failedWorkflow":false,"files":[{"id":56488143,"identity":"85574d44-7aa6-47d9-99ae-3a240ef3c034","added_by":"auto","created_at":"2024-05-14 21:29:27","extension":"pdf","order_by":1,"title":"","display":"","copyAsset":false,"role":"manuscript-pdf","size":275691,"visible":true,"origin":"","legend":"","description":"","filename":"QMLgameextendedversion.pdf","url":"https://assets-eu.researchsquare.com/files/rs-3252292/v1_covered_4579bd5b-7bc1-45cb-b8ff-ecc836be0e92.pdf"}],"financialInterests":"No competing interests reported.","formattedTitle":"Secret Information Sharing using Multipartite Entanglement in Monty Hall Game","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"photonic-network-communications","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"pnet","sideBox":"Learn more about [Photonic Network Communications](http://link.springer.com/journal/11107)","snPcode":"11107","submissionUrl":"https://submission.nature.com/new-submission/11107/3","title":"Photonic Network Communications","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"em","reportingPortfolio":"Springer Hybrid","inReviewEnabled":true,"inReviewRevisionsEnabled":false},"keywords":"Monty Hall, Participant, Host, GHZ state, Chi state, Brown state, Qubits, Winning chances","lastPublishedDoi":"10.21203/rs.3.rs-3252292/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-3252292/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eQuantum computing has emerged as a useful resource for winning random games. Monty Hall problem is one such game where the powers of quantum mechanics can be utilized for winning the prize. Our paper depicts this problem as a two-player game, where the two players, i.e. the host and the participant share an entangled quantum state. The entangled state is closely knit with the position of the prize containing door, and the decision of the player i.e. either switch or stay from his initial choice of door. The two players are part of one team as they share a quantum communication channel among them by sharing the entangled state as a quantum resource. This enables them to share share secret information about the position of the price as well as the strategy to opt for winning the game. The article shows a unique way of utilizing three different type of entangled states, 3-qubit symmetric \u003cem\u003eW\u003c/em\u003e state, 3-qubit \u003cem\u003eX\u003c/em\u003e state, and 5-qubit highly entangled Brown state. 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