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» Algorithms for Quantum Computation: Discrete Logarithms and ...
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ISAAC
2003
Springer
115views Algorithms» more  ISAAC 2003»
13 years 10 months ago
A Faster Lattice Reduction Method Using Quantum Search
We propose a new lattice reduction method. Our algorithm approximates shortest lattice vectors up to a factor ≤ (k/6)n/2k and makes use of Grover’s quantum search algorithm. Th...
Christoph Ludwig
JOC
2000
100views more  JOC 2000»
13 years 5 months ago
Computing Discrete Logarithms in Quadratic Orders
We present efficient algorithms for computing discrete logarithms in the classgroupofaquadraticorderandforprincipalitytestinginarealquadraticorder,based on the work of D
Michael J. Jacobson Jr.
QCQC
1998
Springer
110views Communications» more  QCQC 1998»
13 years 9 months ago
The Hidden Subgroup Problem and Eigenvalue Estimation on a Quantum Computer
Abstract. A quantum computer can efficiently find the order of an element in a group, factors of composite integers, discrete logarithms, stabilisers in Abelian groups, and hidden ...
Michele Mosca, Artur Ekert
ANTS
2004
Springer
106views Algorithms» more  ANTS 2004»
13 years 10 months ago
The Discrete Logarithm in Logarithmic -Class Groups and Its Applications in K-theory
We present an algorithm for the computation of the discrete logarithm in logarithmic -Class Groups. This is applied to the calculation to the -rank of the wild kernel WK2 of a numb...
Sebastian Pauli, Florence Soriano-Gafiuk
CORR
2000
Springer
81views Education» more  CORR 2000»
13 years 5 months ago
Poly-locality in quantum computing
A polynomial depth quantum circuit affects, by definition, a poly-local unitary transformation of a tensor product state space. It is a reasonable belief [Fe], [L], [FKW] that, at ...
Michael H. Freedman