Shor’s Algorithm

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Quantum Computers

Abstract

The Shor algorithm is widely regarded as the first non-trivial quantum algorithm that shows a potential of an ‘exponential’ speeding-up over its equivalent classical algorithms.

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Notes

  1. 1.

    One can try to use the 2020th and 2021th prime. Their product is 308 915 767. However, a laptop, after five hours, fails to find the cycle length.

References

  1. Shor PW (1994) Algorithms for quantum computation: discrete logarithms and factoring. In: Proceedings 35th annual symposium on foundations of computer science. IEEE, pp 124–134

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  2. Calderbank M (2007) The rsa cryptosystem: history, algorithm, primes. Chicago: Math. Uchicago. Edu

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  3. Mermin ND (2007) Quantum computer science. Cambridge University Press, UK

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  4. Michel LB (2006) A short introduction to quantum information and computation. Cambridge University Press, UK

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  5. Artur E, Richard J (1996) Quantum computation and shor’s factoring algorithm. Rev Mod Phys 68(3):733

    Article  MathSciNet  Google Scholar 

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Baaquie, B.E., Kwek, LC. (2023). Shor’s Algorithm. In: Quantum Computers. Springer, Singapore. https://doi.org/10.1007/978-981-19-7517-2_13

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  • DOI: https://doi.org/10.1007/978-981-19-7517-2_13

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-19-7516-5

  • Online ISBN: 978-981-19-7517-2

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