{"title":"Grover量子搜索算法的Grover-扩散算子唯一性","authors":"M. T. Dima, M. Dima, M. Mihailescu","doi":"10.1134/S106377962570011X","DOIUrl":null,"url":null,"abstract":"<p>The repetition of Grover-diffusion operator the order of √<i>N</i> times is the essence of the Grover quantum selection algorithm. For large <i>N</i> the coherence time T2 of the qubits limits the application of the algorithm. We explore what other operators could be devised in its place to accelerate convergence. We present a C++ SU(2) model of the Grover-diffusion operator implemented using our SU2 package.</p>","PeriodicalId":729,"journal":{"name":"Physics of Particles and Nuclei","volume":"56 4","pages":"1014 - 1017"},"PeriodicalIF":0.5000,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Grover-Diffusion Operator Unicity for the Grover Quantum-Search Algorithm\",\"authors\":\"M. T. Dima, M. Dima, M. Mihailescu\",\"doi\":\"10.1134/S106377962570011X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The repetition of Grover-diffusion operator the order of √<i>N</i> times is the essence of the Grover quantum selection algorithm. For large <i>N</i> the coherence time T2 of the qubits limits the application of the algorithm. We explore what other operators could be devised in its place to accelerate convergence. We present a C++ SU(2) model of the Grover-diffusion operator implemented using our SU2 package.</p>\",\"PeriodicalId\":729,\"journal\":{\"name\":\"Physics of Particles and Nuclei\",\"volume\":\"56 4\",\"pages\":\"1014 - 1017\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of Particles and Nuclei\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S106377962570011X\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, PARTICLES & FIELDS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of Particles and Nuclei","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S106377962570011X","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, PARTICLES & FIELDS","Score":null,"Total":0}
Grover-Diffusion Operator Unicity for the Grover Quantum-Search Algorithm
The repetition of Grover-diffusion operator the order of √N times is the essence of the Grover quantum selection algorithm. For large N the coherence time T2 of the qubits limits the application of the algorithm. We explore what other operators could be devised in its place to accelerate convergence. We present a C++ SU(2) model of the Grover-diffusion operator implemented using our SU2 package.
期刊介绍:
The journal Fizika Elementarnykh Chastits i Atomnogo Yadr of the Joint Institute for Nuclear Research (JINR, Dubna) was founded by Academician N.N. Bogolyubov in August 1969. The Editors-in-chief of the journal were Academician N.N. Bogolyubov (1970–1992) and Academician A.M. Baldin (1992–2001). Its English translation, Physics of Particles and Nuclei, appears simultaneously with the original Russian-language edition. Published by leading physicists from the JINR member states, as well as by scientists from other countries, review articles in this journal examine problems of elementary particle physics, nuclear physics, condensed matter physics, experimental data processing, accelerators and related instrumentation ecology and radiology.