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Polynomial-Time Algorithms For Prime Factorization And Discrete Logarithms On A Quantum Computer (1997)  (Make Corrections)  (164 citations)
Peter W. Shor
SIAM Journal on Computing



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Abstract: . A digital computer is generally believed to be an efficient universal computing device; that is, it is believed able to simulate any physical computing device with an increase in computation time by at most a polynomial factor. This may not be true when quantum mechanics is taken into consideration. This paper considers factoring integers and finding discrete logarithms, two problems which are generally thought to be hard on a classical computer and which have been used as the basis of... (Update)

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BibTeX entry:   (Update)

P. Shor. Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer. Full version, 1995. http://citeseer.ist.psu.edu/25085.html   More

@article{ shor97polynomialtime,
    author = "Peter W. Shor",
    title = "Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer",
    journal = "{SIAM Journal on Computing}",
    volume = "26",
    number = "5",
    pages = "1484--1509",
    year = "1997",
    url = "citeseer.ist.psu.edu/25085.html" }
Citations (may not include all citations):
2   Envisioning a quantum supercomputer (context) - supercomputer - 1994
1   personal communication (context) - translation, Knill - 1995



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Documents on the same site (http://www.neci.nj.nec.com/homepages/wds/pu-course.hugelist.html):
Elementary Gates for Quantum Computation - Barenco, Bennett, Cleve, Di.. (1995)   (Correct)
The Maximum Speed of Dynamical Evolution - Margolus, Levitin (1996)   (Correct)

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