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Shor's algorithm for factoring in polynomial time on a quantum computer\cite{Shor} gives an enormous advantage over all known classical factoring algorithm.
Discrete logarithms and factoring
Peter W. Shor · 1994
Earlier work this paper cites.
Semiclassical fourier transform for quantum computation
Robert B. Griffiths and Chi-Sheng Niu · 1996
Earlier work this paper cites.
The hidden subgroup problem and eigenvalue estimation on a quantum computer
Michele Mosca and Artur Ekert · 1999
Earlier work this paper cites.
Efficient factorization with a single pure qubit and log N \mathrm{log}\mathit{N} mixed qubits
S. Parker and M. B. Plenio · 2000
Earlier work this paper cites.
Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance
Lieven M.K. Vandersypen, Matthias Steffen, Gregory Breyta, Costantino S. Yannoni, Mark H. Sherwood, and Isaac L. Chuang · 2001
Earlier work this paper cites.
Shor’s algorithm with fewer (pure) qubits
Christof Zalka · 2006
Cited alongside, same era.
Experimental demonstration of a compiled version of Shor’s algorithm with quantum entanglement
B. P. Lanyon, T. J. Weinhold, N. K. Langford, M. Barbieri, D. F. V. James, A. Gilchrist, and A. G. White · 2007
Cited alongside, same era.
Demonstration of a compiled version of Shor’s quantum factoring algorithm using photonic qubits
Chao-Yang Lu, Daniel E. Browne, Tao Yang, and Jian-Wei Pan · 2007
Cited alongside, same era.
Charge-insensitive qubit design derived from the cooper pair box
Jens Koch, Terri M. Yu, Jay Gambetta, A. A. Houck, D. I. Schuster, J. Majer, Alexandre Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf · 2007
Cited alongside, same era.
Elements
Euclid of Alexandria
Cited in the paper.
unpublished. circa 1650
Pierre de Fermat
Cited in the paper.
The mathematical class of Sun Zi
Sun Zi
Cited in the paper.
Shor’s quantum factoring algorithm on a photonic chip
Alberto Politi, Jonathan C. F. Matthews, and Jeremy L. O’Brien · 2009
Later among the works it cites.
Experimental realization of Shor’s quantum factoring algorithm using qubit recycling
Enrique Martin-Lopez, Anthony Laing, Thomas Lawson, Xiao-Qi Zhou, and Jeremy L. O’Brien · 2012
Later among the works it cites.
Computing prime factors with a Josephson phase qubit quantum processor
Erik Lucero, R. Barends, Y. Chen, J. Kelly, M. Mariantoni, A. Megrant, P. O’Malley, D. Sank, A. Vainsencher, J. Wenner, T. White, Y. Yin, A. N. Cleland, and John M. Martinis · 2012
Later among the works it cites.
Factoring 51 and 85 with 8 qubits
Zhongyuan Zhou and Michael R. Geller · 2012
Later among the works it cites.
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