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STACS
2005
Springer
13 years 11 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...
FOCS
1998
IEEE
13 years 10 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
COCO
2000
Springer
161views Algorithms» more  COCO 2000»
13 years 10 months ago
Characterization of Non-Deterministic Quantum Query and Quantum Communication Complexity
It is known that the classical and quantum query complexities of a total Boolean function f are polynomially related to the degree of its representing polynomial, but the optimal ...
Ronald de Wolf
STACS
2005
Springer
13 years 11 months ago
Exact Quantum Algorithms for the Leader Election Problem
Abstract. It is well-known that no classical algorithm can solve exactly (i.e., in bounded time without error) the leader election problem in anonymous networks. This paper propose...
Seiichiro Tani, Hirotada Kobayashi, Keiji Matsumot...
STACS
2009
Springer
14 years 15 days ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay