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» Quantum Query Complexity of Some Graph Problems
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STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 5 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 7 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell
STACS
2000
Springer
13 years 9 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
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 5 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
ICDT
2007
ACM
107views Database» more  ICDT 2007»
13 years 11 months ago
Some Algorithmic Improvements for the Containment Problem of Conjunctive Queries with Negation
Query containment is a fundamental problem of databases. Given two queries q1 and q2, it asks whether the set of answers to q1 is included in the set of answers to q2 for any datab...
Michel Leclère, Marie-Laure Mugnier