{"title":"后量子格密码系统混合量子经典攻击的新量子预言模型","authors":"A. O. Bakharev","doi":"10.1134/S1990478924030037","DOIUrl":null,"url":null,"abstract":"<p> Lattice-based cryptosystems are one of the main post-quantum alternatives to asymmetric\ncryptography currently in use. Most attacks on these cryptosystems can be reduced to the\nshortest vector problem (SVP) in a lattice. Previously, the authors proposed a quantum oracle\nmodel from Grover’s algorithm to implement a hybrid quantum-classical algorithm based on the\nGaussSieve algorithm and solving SVP. In this paper, a new model of a quantum oracle is\nproposed and analyzed. Two implementations of the new quantum oracle model are proposed and\nestimated. The complexity of implementing the new quantum oracle model to attack\npost-quantum lattice-based cryptosystems that are finalists of the NIST post-quantum\ncryptography competition is analyzed. Comparison of obtained results for new and existing\nmodels of quantum oracle is given.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"18 3","pages":"395 - 411"},"PeriodicalIF":0.5800,"publicationDate":"2024-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Quantum Oracle Model\\nfor a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-Based\\nCryptosystems\",\"authors\":\"A. O. Bakharev\",\"doi\":\"10.1134/S1990478924030037\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p> Lattice-based cryptosystems are one of the main post-quantum alternatives to asymmetric\\ncryptography currently in use. Most attacks on these cryptosystems can be reduced to the\\nshortest vector problem (SVP) in a lattice. Previously, the authors proposed a quantum oracle\\nmodel from Grover’s algorithm to implement a hybrid quantum-classical algorithm based on the\\nGaussSieve algorithm and solving SVP. In this paper, a new model of a quantum oracle is\\nproposed and analyzed. Two implementations of the new quantum oracle model are proposed and\\nestimated. The complexity of implementing the new quantum oracle model to attack\\npost-quantum lattice-based cryptosystems that are finalists of the NIST post-quantum\\ncryptography competition is analyzed. Comparison of obtained results for new and existing\\nmodels of quantum oracle is given.\\n</p>\",\"PeriodicalId\":607,\"journal\":{\"name\":\"Journal of Applied and Industrial Mathematics\",\"volume\":\"18 3\",\"pages\":\"395 - 411\"},\"PeriodicalIF\":0.5800,\"publicationDate\":\"2024-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied and Industrial Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1990478924030037\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478924030037","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
A New Quantum Oracle Model
for a Hybrid Quantum-Classical Attack on Post-Quantum Lattice-Based
Cryptosystems
Lattice-based cryptosystems are one of the main post-quantum alternatives to asymmetric
cryptography currently in use. Most attacks on these cryptosystems can be reduced to the
shortest vector problem (SVP) in a lattice. Previously, the authors proposed a quantum oracle
model from Grover’s algorithm to implement a hybrid quantum-classical algorithm based on the
GaussSieve algorithm and solving SVP. In this paper, a new model of a quantum oracle is
proposed and analyzed. Two implementations of the new quantum oracle model are proposed and
estimated. The complexity of implementing the new quantum oracle model to attack
post-quantum lattice-based cryptosystems that are finalists of the NIST post-quantum
cryptography competition is analyzed. Comparison of obtained results for new and existing
models of quantum oracle is given.
期刊介绍：
Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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