{"title":"Quantum related-key differential cryptanalysis","authors":"Hongyu Wu, Xiaoning Feng","doi":"10.1007/s11128-024-04472-0","DOIUrl":null,"url":null,"abstract":"<p>Quantum computation models have profoundly impacted cryptanalysis. Differential cryptanalysis is one of the most fundamental methods in cryptanalysis of block ciphers, and one of the variations of this attack is related-key differential cryptanalysis. In this paper, quantum related-key differential cryptanalysis is implemented in two main stages of classical version. We employ Bernstein–Vazirani algorithm to find related-key differential characteristics in the first stage. Building on this basis, the second stage combines quantum maximum algorithm and quantum counting algorithm to recover correct key pair by quantum random access memory model. Compared to classical related-key differential cryptanalysis, the first stage achieves exponential acceleration, while the second stage accelerates at <i>O</i>(<i>K</i>), where <span>\\(K^2\\)</span> represents the number of candidate key pairs.</p>","PeriodicalId":746,"journal":{"name":"Quantum Information Processing","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Quantum Information Processing","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/s11128-024-04472-0","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}
引用次数: 0
Abstract
Quantum computation models have profoundly impacted cryptanalysis. Differential cryptanalysis is one of the most fundamental methods in cryptanalysis of block ciphers, and one of the variations of this attack is related-key differential cryptanalysis. In this paper, quantum related-key differential cryptanalysis is implemented in two main stages of classical version. We employ Bernstein–Vazirani algorithm to find related-key differential characteristics in the first stage. Building on this basis, the second stage combines quantum maximum algorithm and quantum counting algorithm to recover correct key pair by quantum random access memory model. Compared to classical related-key differential cryptanalysis, the first stage achieves exponential acceleration, while the second stage accelerates at O(K), where \(K^2\) represents the number of candidate key pairs.
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.
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