46 search results - page 6 / 10 » Quantum algorithms for solvable groups |
STOC
2005
ACM
15 years 10 months ago
2005
ACM
We construct an efficient probabilistic algorithm that, given a finite set with a binary operation, tests if it is an abelian group. The distance used is an analogue of the edit d...
CORR
2000
Springer
14 years 9 months ago
2000
Springer
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 ...
STOC
2002
ACM
15 years 10 months ago
2002
ACM
We give polynomial-time quantum algorithms for three problems from computational algebraic number theory. The first is Pell's equation. Given a positive nonsquare integer d, ...
FCT
2007
Springer
15 years 3 months ago
2007
Springer
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
ANTS
2004
Springer
15 years 3 months ago
2004
Springer
Given an algebraic number field K, such that [K : Q] is constant, we show that the problem of computing the units group O∗ K is in the complexity class SPP. As a consequence, w...