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ALGORITHMICA
2010
92views more  ALGORITHMICA 2010»
13 years 10 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 4 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
14 years 1 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
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 10 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...
COCO
2004
Springer
185views Algorithms» more  COCO 2004»
14 years 1 months ago
Limitations of Quantum Advice and One-Way Communication
Abstract: Although a quantum state requires exponentially many classical bits to describe, the laws of quantum mechanics impose severe restrictions on how that state can be accesse...
Scott Aaronson