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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 7 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
IJCNN
2008
IEEE
14 years 1 months ago
A quantum calculus formulation of dynamic programming and ordered derivatives
— Much recent research activity has focused on the theory and application of quantum calculus. This branch of mathematics continues to find new and useful applications and there ...
John Seiffertt, Donald C. Wunsch
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
TSP
2010
13 years 2 months ago
Independent component analysis by entropy bound minimization
A novel (differential) entropy estimator is introduced where the maximum entropy bound is used to approximate the entropy given the observations, and is computed using a numerical ...
Xi-Lin Li, Tülay Adali
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 8 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...