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Quantum Algorithm for Factoring

1994; Shor

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Recommended Reading

  1. Cohen, H.: A course in computational algebraic number theory. Graduate Texts in Mathematics, vol. 138. Springer (1993)

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  2. Lenstra, A., Lenstra, H. (eds.): The Development of the Number Field Sieve. Lecture Notes in Mathematics, vol. 1544. Springer (1993)

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  3. Lenstra, A.K., Lenstra, H.W. Jr., Manasse, M.S., Pollard, J.M.: The number field sieve. In: Proceedings of the Twenty Second Annual ACM Symposium on Theory of Computing, Baltimore, Maryland, 14–16 May 1990, pp. 564–572

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  4. Morrison, M., Brillhart, J.: A method of factoring and the factorization of F7

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  5. Pomerance, C.: Factoring. In: Pomerance, C. (ed.) Cryptology and Computational Number Theory, Proceedings of Symposia in Applied Mathematics, vol. 42, p. 27. American Mathematical Society

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  6. Shor, P.W.: Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. SIAM J. Comput. 26, 1484–1509 (1997)

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Author information

Authors and Affiliations

  1. Department of Computer Science and Engineering, The Pennsylvania State University, University Park, PA, USA

    Sean Hallgren

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  1. Sean Hallgren
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Editor information

Editors and Affiliations

  1. Department of Electrical Engineering and Computer ScienceMcCormick School of Engineering and Applied Science, Northwestern University, Evanston, IL, 60208, USA

    Ming-Yang Kao Professor of Computer Science

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© 2008 Springer-Verlag

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Hallgren, S. (2008). Quantum Algorithm for Factoring. In: Kao, MY. (eds) Encyclopedia of Algorithms. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-30162-4_307

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