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CORR
1998
Springer
106views Education» more  CORR 1998»
14 years 9 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf
103
Voted
CEC
2008
IEEE
15 years 4 months ago
Correlation clustering based on genetic algorithm for documents clustering
—Correlation clustering problem is a NP hard problem and technologies for the solving of correlation clustering problem can be used to cluster given data set with relation matrix...
Zhenya Zhang, Hongmei Cheng, Wanli Chen, Shuguang ...
77
Voted
STOC
2002
ACM
126views Algorithms» more  STOC 2002»
15 years 10 months ago
Polynomial-time quantum algorithms for Pell's equation and the principal ideal problem
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, ...
Sean Hallgren
ISNN
2009
Springer
15 years 4 months ago
An Improved Quantum Evolutionary Algorithm with 2-Crossovers
Quantum evolutionary algorithm (QEA) is proposed on the basis of the concept and principles of quantum computing, which is a classical metaheuristic algorithm for the approximate s...
Zhihui Xing, Haibin Duan, Chunfang Xu
STOC
2002
ACM
107views Algorithms» more  STOC 2002»
15 years 10 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson