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» Characterization of Non-Deterministic Quantum Query and Quan...
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COCO
2005
Springer
150views Algorithms» more  COCO 2005»
13 years 10 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
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
CIE
2006
Springer
13 years 9 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
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 7 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek