TY - JOUR
T1 - Quantum algorithms for algebraic problems
JF - Reviews of Modern Physics
Y1 - 2010
A1 - Andrew M. Childs
A1 - Wim van Dam
AB - Quantum computers can execute algorithms that dramatically outperform classical computation. As the best-known example, Shor discovered an efficient quantum algorithm for factoring integers, whereas factoring appears to be difficult for 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 motivate the formidable task of building a large-scale quantum computer. This article reviews the current state of quantum algorithms, focusing on algorithms with superpolynomial speedup over classical computation, and in particular, on problems with an algebraic flavor.
VL - 82
U4 - 1 - 52
UR - http://arxiv.org/abs/0812.0380v1
CP - 1
J1 - Rev. Mod. Phys.
U5 - 10.1103/RevModPhys.82.1
ER -