Factorization of numbers with Gauss sums: I. Mathematical background
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Publication:5135217
DOI10.1088/1367-2630/13/10/103007zbMath1448.11160arXiv1210.6474OpenAlexW2021012149MaRDI QIDQ5135217
Ilya Sh. Averbukh, Bertrand Girard, W. P. Schleich, Sabine Wölk, Wolfgang Merkel
Publication date: 19 November 2020
Published in: New Journal of Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.6474
Number-theoretic algorithms; complexity (11Y16) Quantum optics (81V80) Gauss and Kloosterman sums; generalizations (11L05)
Related Items (5)
Factorization of numbers with Gauss sums: II. Suggestions for implementation with chirped laser pulses ⋮ Factorization of numbers with Gauss sums: III. Algorithms with entanglement ⋮ Analogue algorithm for parallel factorization of an exponential number of large integers. II: Optical implementation ⋮ Analogue algorithm for parallel factorization of an exponential number of large integers. I: Theoretical description ⋮ Factorization with a logarithmic energy spectrum of a two-dimensional potential
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