Hargeet Kaur, Kavit Shah, Debabrata Swain, Kaushal Shah
{"title":"在蒙蒂-霍尔游戏中利用多方纠缠共享秘密信息","authors":"Hargeet Kaur, Kavit Shah, Debabrata Swain, Kaushal Shah","doi":"10.1007/s11107-024-01017-4","DOIUrl":null,"url":null,"abstract":"<p>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 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, three-qubit symmetric <i>W</i> state, three-qubit <span>\\(\\chi \\)</span> state, and five-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.</p>","PeriodicalId":20057,"journal":{"name":"Photonic Network Communications","volume":null,"pages":null},"PeriodicalIF":1.8000,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Secret Information Sharing using Multipartite Entanglement in Monty Hall Game\",\"authors\":\"Hargeet Kaur, Kavit Shah, Debabrata Swain, Kaushal Shah\",\"doi\":\"10.1007/s11107-024-01017-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>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 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, three-qubit symmetric <i>W</i> state, three-qubit <span>\\\\(\\\\chi \\\\)</span> state, and five-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.</p>\",\"PeriodicalId\":20057,\"journal\":{\"name\":\"Photonic Network Communications\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2024-05-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Photonic Network Communications\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://doi.org/10.1007/s11107-024-01017-4\",\"RegionNum\":4,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"COMPUTER SCIENCE, INFORMATION SYSTEMS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Photonic Network Communications","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1007/s11107-024-01017-4","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, INFORMATION SYSTEMS","Score":null,"Total":0}
Secret Information Sharing using Multipartite Entanglement in Monty Hall Game
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 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, three-qubit symmetric W state, three-qubit \(\chi \) state, and five-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.
期刊介绍:
This journal publishes papers involving optical communication networks. Coverage includes network and system technologies; network and system architectures; network access and control; network design, planning, and operation; interworking; and application design for an optical infrastructure
This journal publishes high-quality, peer-reviewed papers presenting research results, major achievements, and trends involving all aspects of optical network communications.
Among the topics explored are transport, access, and customer premises networks; local, regional, and global networks; transoceanic and undersea networks; optical transparent networks; WDM, HWDM, and OTDM networks and more.