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Shor's factoring algorithm (SFA), by its ability to efficiently factor large numbers, has the potential to undermine contemporary encryption.
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R. Laubenbacher and D. Pengelley, “‘Voici ce que j’ai trouvé:’ Sophie Germain’s grand plan to prove Fermat’s last theorem,” Historia Mathematica
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D. Cheung, “Improved bounds for the approximate QFT,” in Proceedings of the Winter International Synposium on Information and Communication Technologies
2004
Cited alongside, same era.
C.-Y. Lu, D. E. Browne, T. Yang, and J.-W. Pan, “Demonstration of a compiled version of Shor’s quantum factoring algorithm using photonic qubits,” Phys. Rev. Lett
2007
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B. P. Lanyon, T. J. Weinhold, N. K. Langford, M. Barbieri, D. F. V. James, A. Gilchrist, and A. G. White, “Experimental demonstration of a compiled version of Shor’s algorithm with quantum entanglement,” Phys. Rev. Lett
2007
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A. Politi, J. C. F. Matthews, and J. L. O’Brien, “Shor’s quantum factoring algorithm on a photonic chip,” Science
2009
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National Institute of Standards and Technology, FIPS PUB 186-4: Digital Signature Standard (DSS) · 2013
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J. A. Smolin, G. Smith, and A. Vargo, “Oversimplifying quantum factoring,” Nature
2013
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T. Lawson, “Odd orders in Shor’s factoring algorithm,” Quantum Information Processing
2015
Closest in time.
T. Monz, D. Nigg, E. A. Martinez, M. F. Brandl, P. Schindler, R. Rines, S. X. Wang, I. L. Chuang, and R. Blatt, “Realization of a scalable Shor algorithm,” Science
2016
Closest in time.