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Quantum algorithms for problems in number theory, algebraic geometry, and group theory
[article]
2012
arXiv
pre-print
Quantum computers can execute algorithms that sometimes dramatically outperform classical computation. Undoubtedly the best-known example of this is Shor's discovery of an efficient quantum algorithm for factoring integers, whereas the same problem appears to be intractable on classical computers. Understanding what other computational problems can be solved significantly faster using quantum algorithms is one of the major challenges in the theory of quantum computation, and such algorithms
arXiv:1206.6126v1
fatcat:xux56wit4ncy5jtqiwqodel2iu