On quantum cryptography and number theory

被引:0
|
作者
Trushechkin, Anton S. [1 ]
Volovich, Igor V. [2 ]
机构
[1] Moscow Engn Phys Inst, Kashirskoe Sh 31, Moscow 115409, Russia
[2] RAS, Steklov Math Inst, Moscow 119991, Russia
来源
关键词
quantum cryptography; quantum key distribution; quantum channel;
D O I
暂无
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Relations between number theory and cryptography are discussed. A general mathematical framework for quantum key distribution based on the concepts of quantum channel and Turing machine is suggested. The security for its special case is proved. The assumption is that the adversary can perform only individual (in essence, classical) attacks. For this case an advantage of quantum key distribution over classical one is shown.
引用
收藏
页码:345 / +
页数:2
相关论文
共 50 条
  • [41] Quantum cryptography
    Dusek, Miloslav
    Luetkenhaus, Norbert
    Hendrych, Martin
    PROGRESS IN OPTICS, VOL 49, 2006, 49 : 381 - 454
  • [43] Quantum Cryptography for Information-Theoretic Security Quantum Cryptography
    Sanders, Barry
    TECHNOLOGICAL INNOVATIONS IN SENSING AND DETECTION OF CHEMICAL, BIOLOGICAL, RADIOLOGICAL, NUCLEAR THREATS AND ECOLOGICAL TERRORISM, 2012, : 335 - 343
  • [44] Quantum cryptography and combined schemes of quantum cryptography communication networks
    Bykovsky, A. Yu.
    Kompanets, I. N.
    QUANTUM ELECTRONICS, 2018, 48 (09) : 777 - 801
  • [45] Experimental resources needed to implement photon number splitting attack in quantum cryptography
    Kulik, S. P.
    Kravtsov, K. S.
    Molotkov, S. N.
    LASER PHYSICS LETTERS, 2022, 19 (02)
  • [46] 30 years of collaboration...between the Austrian Diophantine Number Theory research group and the Number Theory and Cryptography School of Debrecen
    Clemens Fuchs
    Lajos Hajdu
    Periodica Mathematica Hungarica, 2017, 74 : 255 - 274
  • [47] Quantum cryptography and quantum memory
    Wu, TT
    QUANTUM INFORMATION AND COMPUTATION II, 2004, 5436 : 81 - 92
  • [48] General theory of decoy-state quantum cryptography with source errors
    Wang, Xiang-Bin
    Peng, Cheng-Zhi
    Zhang, Jun
    Yang, Lin
    Pan, Jian-Wei
    PHYSICAL REVIEW A, 2008, 77 (04)
  • [49] Theory of Numbers in Cryptography and Its Weakness to the Possible Quantum Computer Age
    Castillo Rubi, Marco Antonio
    Santana de la Cruz, Nancy
    Diaz Lobaton, Alicia Mercedes
    Almanza Rodriguez, German
    Castillo Rubi, Felipe
    CIENCIA ERGO-SUM, 2011, 18 (03) : 264 - 273
  • [50] Development of Modern Cryptography and Research on Quantum Cryptography
    Abe M.
    NTT Technical Review, 2023, 21 (07): : 28 - 32