{"title":"玻色-爱因斯坦统计、随机分组密码和量子密码学中的一次性记事本","authors":"S. N. Molotkov, I. S. Sushchev","doi":"10.1134/S002136402560644X","DOIUrl":null,"url":null,"abstract":"<p>Many problems in statistical physics, as well as in classical and quantum information theory including quantum cryptography, have much in common, since they are reduced to the processing of exponentially large sets. It has been shown that there is a deep relationship between the distribution of bosons over energy levels and the number of collisions of a random block cipher. It has been shown that the number of collisions is equal to the number of empty levels in the distribution of bosons over levels. The number of collisions is of practical interest, since it determines the complexity of search for keys transmitted through a quantum network.</p>","PeriodicalId":604,"journal":{"name":"JETP Letters","volume":"121 11","pages":"875 - 882"},"PeriodicalIF":1.3000,"publicationDate":"2025-07-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bose–Einstein Statistics, Random Block Ciphers, and the One-Time Notepad in Quantum Cryptography\",\"authors\":\"S. N. Molotkov, I. S. Sushchev\",\"doi\":\"10.1134/S002136402560644X\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Many problems in statistical physics, as well as in classical and quantum information theory including quantum cryptography, have much in common, since they are reduced to the processing of exponentially large sets. It has been shown that there is a deep relationship between the distribution of bosons over energy levels and the number of collisions of a random block cipher. It has been shown that the number of collisions is equal to the number of empty levels in the distribution of bosons over levels. The number of collisions is of practical interest, since it determines the complexity of search for keys transmitted through a quantum network.</p>\",\"PeriodicalId\":604,\"journal\":{\"name\":\"JETP Letters\",\"volume\":\"121 11\",\"pages\":\"875 - 882\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-07-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JETP Letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S002136402560644X\",\"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":"JETP Letters","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S002136402560644X","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}
Bose–Einstein Statistics, Random Block Ciphers, and the One-Time Notepad in Quantum Cryptography
Many problems in statistical physics, as well as in classical and quantum information theory including quantum cryptography, have much in common, since they are reduced to the processing of exponentially large sets. It has been shown that there is a deep relationship between the distribution of bosons over energy levels and the number of collisions of a random block cipher. It has been shown that the number of collisions is equal to the number of empty levels in the distribution of bosons over levels. The number of collisions is of practical interest, since it determines the complexity of search for keys transmitted through a quantum network.
期刊介绍:
All topics of experimental and theoretical physics including gravitation, field theory, elementary particles and nuclei, plasma, nonlinear phenomena, condensed matter, superconductivity, superfluidity, lasers, and surfaces.