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» Quantum algorithms for solvable groups
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CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 5 months ago
Quantum walk based search algorithms
In this survey paper we give an intuitive treatment of the discrete time quantization of classical Markov chains. Grover search and the quantum walk based search algorithms of Amba...
Miklos Santha
STOC
2005
ACM
158views Algorithms» more  STOC 2005»
14 years 5 months ago
Polynomial time quantum algorithm for the computation of the unit group of a number field
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 t...
Arthur Schmidt, Ulrich Vollmer
APPROX
2009
Springer
156views Algorithms» more  APPROX 2009»
14 years 5 days ago
Small-Bias Spaces for Group Products
Small-bias, or -biased, spaces have found many applications in complexity theory, coding theory, and derandomization. We generalize the notion of small-bias spaces to the setting ...
Raghu Meka, David Zuckerman
STACS
2010
Springer
14 years 17 days ago
An Efficient Quantum Algorithm for Some Instances of the Group Isomorphism Problem
In this paper we consider the problem of testing whether two finite groups are isomorphic. Whereas the case where both groups are abelian is well understood and can be solved effi...
François Le Gall
ICALP
2005
Springer
13 years 11 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak