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» Lower Bounds for Quantum Search and Derandomization
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CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 5 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak
COCO
2003
Springer
118views Algorithms» more  COCO 2003»
13 years 10 months ago
Lower bounds for predecessor searching in the cell probe model
We consider a fundamental problem in data structures, static predecessor searching: Given a subset S of size n from the universe [m], store S so that queries of the form “What i...
Pranab Sen
ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 5 months ago
Quantum Separation of Local Search and Fixed Point Computation
In this paper, we give a lower bound of (n(d-1)/2 ) on the quantum query complexity for finding a fixed point of a discrete Brouwer function over grid [1 : n]d . Our bound is near...
Xi Chen, Xiaoming Sun, Shang-Hua Teng
ICALP
2001
Springer
13 years 9 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
2004
Springer
121views Algorithms» more  COCO 2004»
13 years 10 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