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FOCS
2003
IEEE
14 years 24 days ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 1 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
JOC
2008
86views more  JOC 2008»
13 years 7 months ago
Lower Bounds and Impossibility Results for Concurrent Self Composition
In the setting of concurrent self composition, a single protocol is executed many times concurrently by a single set of parties. In this paper, we prove lower bounds and impossibi...
Yehuda Lindell
COCOON
2005
Springer
14 years 1 months ago
Promised and Distributed Quantum Search
This paper gives a quantum algorithm to search in an set S for a k-tuple satisfying some predefined relation, with the promise that some components of a desired k-tuple are in som...
Shengyu Zhang
FOCS
1993
IEEE
13 years 11 months ago
A Tight Lower Bound for k-Set Agreement
: Weprove tight bounds on the time needed to solve k-set agreement, a natural generalization of consensus. We analyze this problem in a synchronous, message-passing model where pro...
Soma Chaudhuri, Maurice Herlihy, Nancy A. Lynch, M...