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STOC
2004
ACM
153views Algorithms» more  STOC 2004»
14 years 8 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
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
ICALP
2007
Springer
14 years 1 months ago
Unbounded-Error One-Way Classical and Quantum Communication Complexity
This paper studies the gap between classical one-way communication complexity C(f) and its quantum counterpart Q(f), under the unbounded-error setting, i.e., it is enough that the ...
Kazuo Iwama, Harumichi Nishimura, Rudy Raymond, Sh...
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
13 years 7 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
STOC
2007
ACM
136views Algorithms» more  STOC 2007»
14 years 8 months ago
Exponential separations for one-way quantum communication complexity, with applications to cryptography
We give an exponential separation between one-way quantum and classical communication protocols for two partial Boolean functions, both of which are variants of the Boolean Hidden...
Dmitry Gavinsky, Julia Kempe, Iordanis Kerenidis, ...