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» Nonadaptive quantum query complexity
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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 3 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
FOCS
2003
IEEE
14 years 3 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
APPROX
2008
Springer
88views Algorithms» more  APPROX 2008»
13 years 11 months ago
Limitations of Hardness vs. Randomness under Uniform Reductions
We consider (uniform) reductions from computing a function f to the task of distinguishing the output of some pseudorandom generator G from uniform. Impagliazzo and Wigderson [IW]...
Dan Gutfreund, Salil P. Vadhan
CIE
2006
Springer
14 years 1 months ago
Lower Bounds Using Kolmogorov Complexity
Abstract. In this paper, we survey a few recent applications of Kolmogorov complexity to lower bounds in several models of computation. We consider KI complexity of Boolean functio...
Sophie Laplante
ICDT
2007
ACM
126views Database» more  ICDT 2007»
14 years 3 months ago
Combining Incompleteness and Ranking in Tree Queries
Abstract. In many cases, users may want to consider incomplete answers to their queries. Often, however, there is an overwhelming number of such answers, even if subsumed answers a...
Benny Kimelfeld, Yehoshua Sagiv