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A hybrid scheme for prime factorization and its experimental implementation using IBM quantum processor

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Abstract

We report a quantum–classical hybrid scheme for factorization of bi-prime numbers (which are odd and square-free) using IBM’s quantum processors. The hybrid scheme proposed here involves both classical optimization techniques and adiabatic quantum optimization techniques, and is build by extending a previous scheme of hybrid factorization [Pal et al., Pramana 92, 26 (2019) and Xu et al., Phys. Rev. Lett. 108, 130501 (2012)]. The quantum part of the scheme is very general in the sense that it can be implemented using any quantum computing architecture. Here, as an example, we experimentally implement our scheme for prime factorization using IBM’s QX4 quantum processor and have factorized 35.

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Acknowledgements

The authors thank Defense Research & Development Organization (DRDO), India, for the support provided through the project number ERIP/ER/1403163/M/01/1603.

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Authors and Affiliations

  1. Jaypee Institute of Information Technology, A 10, Sector 62, Noida, UP, 201309, India

    Ashwin Saxena, Abhishek Shukla & Anirban Pathak

  2. Department of Applied Physics, Rachel and Selim school of Engineering, The Hebrew University of Jerusalem, Jerusalem, 91904, Israel

    Abhishek Shukla

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  1. Ashwin Saxena
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  2. Abhishek Shukla
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  3. Anirban Pathak
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Correspondence to Abhishek Shukla.

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Saxena, A., Shukla, A. & Pathak, A. A hybrid scheme for prime factorization and its experimental implementation using IBM quantum processor. Quantum Inf Process 20, 112 (2021). https://doi.org/10.1007/s11128-021-03053-9

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