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32

STOC
2005
ACM

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Polynomial time quantum algorithm for the computation of the unit group of a number field

14 years 11 months ago

Polynomial time quantum algorithm for the computation of the unit group of a number field

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We present a quantum algorithm for the computation of the irrational period lattice of a function on Zn which is periodic in a relaxed sense. This algorithm is applied to compute the unit group of finite extensions of Q. Execution time for fixed field degree over Q is polynomial in the discriminant of the field. Our algorithms generalize and improve upon Hallgren's work [Hal02] for the one-dimensional case corresponding to real-quadratic fields.

Arthur Schmidt, Ulrich Vollmer

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Algorithms | Fixed Field Degree | Irrational Period Lattice | Quantum Algorithm | STOC 2005 |

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Added	03 Dec 2009
Updated	03 Dec 2009
Type	Conference
Year	2005
Where	STOC
Authors	Arthur Schmidt, Ulrich Vollmer

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