{"title":"量子秘密共享中量子秘密的无测量重构电路","authors":"Shogo Chiwaki, Ryutaroh Matsumoto","doi":"10.1007/s11128-025-04943-y","DOIUrl":null,"url":null,"abstract":"<div><p>For a quantum secret sharing scheme built from a general quantum stabilizer code, no measurement-free circuit has been known for reconstructing its quantum secrets, except particular classes, such as one proposed by Cleve, Gottesman and Lo. We propose a measurement-free reconstruction circuit of quantum secrets in quantum secret sharing based on stabilizer codes. Our reconstruction circuit has width <span>\\(k+|J|\\)</span> and consists of <i>O</i>(<i>k</i>|<i>J</i>|) one- or two-qudit unitary gates when |<i>J</i>| participants reconstruct <i>k</i>-qudit quantum secrets.</p></div>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":"24 10","pages":""},"PeriodicalIF":2.2000,"publicationDate":"2025-09-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11128-025-04943-y.pdf","citationCount":"0","resultStr":"{\"title\":\"Measurement-free reconstruction circuit of quantum secrets in quantum secret sharing\",\"authors\":\"Shogo Chiwaki, Ryutaroh Matsumoto\",\"doi\":\"10.1007/s11128-025-04943-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>For a quantum secret sharing scheme built from a general quantum stabilizer code, no measurement-free circuit has been known for reconstructing its quantum secrets, except particular classes, such as one proposed by Cleve, Gottesman and Lo. We propose a measurement-free reconstruction circuit of quantum secrets in quantum secret sharing based on stabilizer codes. Our reconstruction circuit has width <span>\\\\(k+|J|\\\\)</span> and consists of <i>O</i>(<i>k</i>|<i>J</i>|) one- or two-qudit unitary gates when |<i>J</i>| participants reconstruct <i>k</i>-qudit quantum secrets.</p></div>\",\"PeriodicalId\":746,\"journal\":{\"name\":\"Quantum Information Processing\",\"volume\":\"24 10\",\"pages\":\"\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-09-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s11128-025-04943-y.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Quantum Information Processing\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11128-025-04943-y\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11128-025-04943-y","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}
Measurement-free reconstruction circuit of quantum secrets in quantum secret sharing
For a quantum secret sharing scheme built from a general quantum stabilizer code, no measurement-free circuit has been known for reconstructing its quantum secrets, except particular classes, such as one proposed by Cleve, Gottesman and Lo. We propose a measurement-free reconstruction circuit of quantum secrets in quantum secret sharing based on stabilizer codes. Our reconstruction circuit has width \(k+|J|\) and consists of O(k|J|) one- or two-qudit unitary gates when |J| participants reconstruct k-qudit quantum secrets.
期刊介绍:
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.