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CORR
2006
Springer
155views Education» more  CORR 2006»
13 years 9 months ago
Complexity and Philosophy
The science of complexity is based on a new way of thinking that stands in sharp contrast to the philosophy underlying Newtonian science, which is based on reductionism, determinis...
Francis Heylighen, Paul Cilliers, Carlos Gershenso...
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 2 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
SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 11 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 2 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang
EUROCRYPT
2000
Springer
14 years 16 days ago
Perfectly Concealing Quantum Bit Commitment from any Quantum One-Way Permutation
We show that although unconditionally secure quantum bit commitment is impossible, it can be based upon any family of quantum one-way permutations. The resulting scheme is uncondit...
Paul Dumais, Dominic Mayers, Louis Salvail