{"title":"用多比特纠缠远程实现单元门","authors":"Lingjun Xiong, Ziwei Chen","doi":"10.1007/s10773-024-05850-1","DOIUrl":null,"url":null,"abstract":"<div><p>Realizing quantum nonlocal operations is important in quantum computing, quantum information, and quantum cryptography. This study explores probabilistic protocols to achieve high-fidelity nonlocal operation <span>\\(U_{AB}(\\lambda )=e^{i\\lambda \\sigma _{n_{A}}\\sigma _{n_{B}}}\\)</span>, <span>\\(\\lambda \\in (0,\\frac{\\pi }{2})\\)</span> particularly investigating their applicability to more general quantum entangled states. This involves collaborative efforts between Alice and Bob, employing local unitary operations and measurements to implement nonlocal gates effectively. What’s more, we also extend the general technique to the case when the entangled quantum state is many-body, and we find that it is possible to realize a many-body nonlocal operation <span>\\(U_{A_{1}A_{2}\\cdots A_{N}C}(\\xi )=e^{i\\xi \\sigma _{n_{A_{1}}}\\sigma _{n_{A_{2}}}\\cdots \\sigma _{n_{A_{N}}}\\sigma _{n_{C}}}\\)</span>, <span>\\(\\xi \\in (0,\\frac{\\pi }{2})\\)</span>. What’s more, we expect to encounter the effects generated by quantum noise in practical applications, but for specific applications we can find appropriate ways to mitigate the effects of quantum noise. In a word, advances in this area suggest promising results, demonstrating the potential to realize complex quantum operations using minimal resources.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 12","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-12-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Remote Implementation of Unitary Gates in Terms of Multiqubit Entanglement\",\"authors\":\"Lingjun Xiong, Ziwei Chen\",\"doi\":\"10.1007/s10773-024-05850-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Realizing quantum nonlocal operations is important in quantum computing, quantum information, and quantum cryptography. This study explores probabilistic protocols to achieve high-fidelity nonlocal operation <span>\\\\(U_{AB}(\\\\lambda )=e^{i\\\\lambda \\\\sigma _{n_{A}}\\\\sigma _{n_{B}}}\\\\)</span>, <span>\\\\(\\\\lambda \\\\in (0,\\\\frac{\\\\pi }{2})\\\\)</span> particularly investigating their applicability to more general quantum entangled states. This involves collaborative efforts between Alice and Bob, employing local unitary operations and measurements to implement nonlocal gates effectively. What’s more, we also extend the general technique to the case when the entangled quantum state is many-body, and we find that it is possible to realize a many-body nonlocal operation <span>\\\\(U_{A_{1}A_{2}\\\\cdots A_{N}C}(\\\\xi )=e^{i\\\\xi \\\\sigma _{n_{A_{1}}}\\\\sigma _{n_{A_{2}}}\\\\cdots \\\\sigma _{n_{A_{N}}}\\\\sigma _{n_{C}}}\\\\)</span>, <span>\\\\(\\\\xi \\\\in (0,\\\\frac{\\\\pi }{2})\\\\)</span>. What’s more, we expect to encounter the effects generated by quantum noise in practical applications, but for specific applications we can find appropriate ways to mitigate the effects of quantum noise. In a word, advances in this area suggest promising results, demonstrating the potential to realize complex quantum operations using minimal resources.</p></div>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":\"63 12\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-12-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10773-024-05850-1\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05850-1","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Remote Implementation of Unitary Gates in Terms of Multiqubit Entanglement
Realizing quantum nonlocal operations is important in quantum computing, quantum information, and quantum cryptography. This study explores probabilistic protocols to achieve high-fidelity nonlocal operation \(U_{AB}(\lambda )=e^{i\lambda \sigma _{n_{A}}\sigma _{n_{B}}}\), \(\lambda \in (0,\frac{\pi }{2})\) particularly investigating their applicability to more general quantum entangled states. This involves collaborative efforts between Alice and Bob, employing local unitary operations and measurements to implement nonlocal gates effectively. What’s more, we also extend the general technique to the case when the entangled quantum state is many-body, and we find that it is possible to realize a many-body nonlocal operation \(U_{A_{1}A_{2}\cdots A_{N}C}(\xi )=e^{i\xi \sigma _{n_{A_{1}}}\sigma _{n_{A_{2}}}\cdots \sigma _{n_{A_{N}}}\sigma _{n_{C}}}\), \(\xi \in (0,\frac{\pi }{2})\). What’s more, we expect to encounter the effects generated by quantum noise in practical applications, but for specific applications we can find appropriate ways to mitigate the effects of quantum noise. In a word, advances in this area suggest promising results, demonstrating the potential to realize complex quantum operations using minimal resources.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.