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ICALP
2001
Springer
13 years 8 months ago
Quantum Complexities of Ordered Searching, Sorting, and Element Distinctness
We consider the quantum complexities of the following three problems: searching an ordered list, sorting an un-ordered list, and deciding whether the numbers in a list are all dis...
Peter Høyer, Jan Neerbek, Yaoyun Shi
COCO
2001
Springer
154views Algorithms» more  COCO 2001»
13 years 8 months ago
Quantum Algorithms for Element Distinctness
We present several applications of quantum amplitude amplification to finding claws and collisions in ordered or unordered functions. Our algorithms generalize those of Brassard...
Harry Buhrman, Christoph Dürr, Mark Heiligman...
CORR
2008
Springer
106views Education» more  CORR 2008»
13 years 4 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
CORR
2006
Springer
138views Education» more  CORR 2006»
13 years 4 months ago
Tight Bounds on the Complexity of Recognizing Odd-Ranked Elements
Let S = s1, s2, s3, ..., sn be a given vector of n distinct real numbers. The rank of z R with respect to S is defined as the number of elements si S such that si z. We consider...
Shripad Thite
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 9 months ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez