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Analysis of Quantum Cryptology and the RSA Algorithms Defense Against Attacks Using Shor’s Algorithm in a Post Quantum Environment

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Computational Intelligence in Communications and Business Analytics (CICBA 2023)

Abstract

Over the course of the previous twenty years, quantum cryptanalysis has become an important topic of research. The development of two well-known algorithms one for speedier factoring and the other for quicker searching has brought about a change in the conventional technique of computation. These algorithms are responsible for the change. A great number of the algorithms that were used in the conventional way of computing were really risk-free, precise, speedy, and output-oriented. In the post-quantum environment, it is absolutely necessary to investigate the behaviour of various classical algorithms when they are under attack. The behaviour of the RSA algorithm in terms of its resilience to attacks is the subject of investigation in this work. Deciphering the RSA codes requires the application of the Shor algorithm. In order to conduct the experiment, both the Qiskit simulator and the IBM quantum environment are utilised. The amount of qubit capacity now available is the primary determinant of how simple it is to break the RSA algorithm. One can draw the conclusion that the capacity of any quantum computer to decode RSA codes is directly dependent on the number of bits used in those codes.

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References

  1. Yanofsky, N., Mannucci, M.: Quantum Computing for Computer Scientists. Cambridge University Press, Cambridge (2008). https://doi.org/10.1017/CBO9780511813887

    Book  MATH  Google Scholar 

  2. Bernstein, E., Vazirani, U.: Quantum complexity theory. SIAM J. Comput. 26(5), 1411–1473 (1997). https://doi.org/10.1137/S0097539796300921

    Article  MathSciNet  MATH  Google Scholar 

  3. Bennett, C.H., Bernstein, E., Brassard, G., Vazirani, U.: Strengths and weaknesses of quantum computing. SIAM J. Comput. 26(5), 1510–1523 (1997). https://doi.org/10.1137/S0097539796300933

    Article  MathSciNet  MATH  Google Scholar 

  4. Simon,D.: On the power of quantum computation. In: 2013 IEEE 54th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, USA, pp. 116-123 (1994). https://doi.org/10.1109/SFCS.1994.365701

  5. Deutsch, D., Jozsa, R.: Rapid solution of problems by quantum computation. Proc. R. Soc. Lond. Ser. A: Math. Phys. Sci. 439, 553–558 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  6. Shor, P.W.: Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings 35th Annual Symposium on Foundations of Computer Science, Santa Fe, NM, USA, pp. 124–134 (1994). https://doi.org/10.1109/SFCS.1994.365700

  7. Beckman, D., Chari, A., Srikrishna, D., Preskill, J.: Efficient networks for quantum factoring. Phys. Rev. A 54, 1034 (1996). https://doi.org/10.1103/PhysRevA.54.1034

    Article  MathSciNet  Google Scholar 

  8. Grover, L.K.: A fast quantum mechanical algorithm for database search. In: Symposium on the Theory of Computing (1996)

    Google Scholar 

  9. Fernandez-Carames, T.M., Fraga-Lamas, P.: Towards post-quantum blockchain: a review on blockchain cryptography resistant to quantum computing attacks. IEEE Access 8, 21091–21116 (2020). https://doi.org/10.1109/ACCESS.2020.2968985

    Article  Google Scholar 

  10. Mailloux, L.O., Lewis, C.D., II., Riggs, C., Grimaila, M.R.: Post-quantum cryptography: what advancements in quantum computing mean for IT professionals. IT Profess. 18(5), 42–47 (2016). https://doi.org/10.1109/MITP.2016.77

    Article  Google Scholar 

  11. Zeydan, E., Turk, Y., Aksoy, B., Ozturk, S.B.: Recent advances in post-quantum cryptography for networks: a survey (2022). https://doi.org/10.1109/MobiSecServ50855.2022.9727214

  12. Borges, F., Reis, P.R., Pereira, D.: A comparison of security and its performance for key agreements in post-quantum cryptography. IEEE Access 8, 142413–142422 (2020). https://doi.org/10.1109/ACCESS.2020.3013250

    Article  Google Scholar 

  13. Chamola, V., Jolfaei, A., Chanana, V., Parashari, P., Hassija, V.: Information security in the post quantum era for 5G and beyond networks: threats to existing cryptography, and post-quantum cryptography. Comput. Commun. 176, C (Aug 2021), 99–118 (2021). https://doi.org/10.1016/j.comcom.2021.05.019

  14. Stallings, W.: Cryptography and Network Security: Principles and Practice, 6th edn. Prentice Hall Press, USA (2013)

    Google Scholar 

  15. Rivest, R.L., Shamir, A., Adleman, L.: A method for obtaining digital signatures and public-key cryptosystems. Commun. ACM 21, 2 (Feb. 1978), 120–126 (1978). https://doi.org/10.1145/359340.359342

  16. Aleksandrowicz, G., et al.: Qiskit: an open-source framework for quantum computing (2019). https://doi.org/10.5281/ZENODO.2562111

  17. IBM Quantum (2021). https://quantum-computing.ibm.com/

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Correspondence to Prodipto Das .

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Biswas, S., Das, P. (2024). Analysis of Quantum Cryptology and the RSA Algorithms Defense Against Attacks Using Shor’s Algorithm in a Post Quantum Environment. In: Dasgupta, K., Mukhopadhyay, S., Mandal, J.K., Dutta, P. (eds) Computational Intelligence in Communications and Business Analytics. CICBA 2023. Communications in Computer and Information Science, vol 1956. Springer, Cham. https://doi.org/10.1007/978-3-031-48879-5_7

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  • DOI: https://doi.org/10.1007/978-3-031-48879-5_7

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