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STACS
2000
Springer
13 years 11 months ago
Average-Case Quantum Query Complexity
Abstract. We compare classical and quantum query complexities of total Boolean functions. It is known that for worst-case complexity, the gap between quantum and classical can be a...
Andris Ambainis, Ronald de Wolf
JC
2007
94views more  JC 2007»
13 years 7 months ago
On the complexity of the multivariate Sturm-Liouville eigenvalue problem
We study the complexity of approximating the smallest eigenvalue of −∆ + q with Dirichlet boundary conditions on the d-dimensional unit cube. Here ∆ is the Laplacian, and th...
A. Papageorgiou
CORR
2006
Springer
97views Education» more  CORR 2006»
13 years 7 months ago
The one-way communication complexity of the Boolean Hidden Matching Problem
We give a tight lower bound of ( n) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communica...
Iordanis Kerenidis, Ran Raz
STOC
1996
ACM
100views Algorithms» more  STOC 1996»
13 years 11 months ago
The Linear-Array Conjecture in Communication Complexity is False
A linear array network consists of k + 1 processors P0; P1; : : : ; Pk with links only between Pi and Pi+1 0 i k. It is required to compute some boolean function f x; y in this n...
Eyal Kushilevitz, Nathan Linial, Rafail Ostrovsky
FCT
2005
Springer
14 years 25 days ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...