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» Quantum Query Complexity of Some Graph Problems
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ICALP
2004
Springer
13 years 10 months ago
Quantum Query Complexity of Some Graph Problems
Quantum algorithms for graph problems are considered, both in the adjacency matrix model and in an adjacency list-like array model. We give almost tight lower and upper bounds for ...
Christoph Dürr, Mark Heiligman, Peter H&oslas...
CORR
2010
Springer
76views Education» more  CORR 2010»
13 years 4 months ago
Nonadaptive quantum query complexity
We study the power of nonadaptive quantum query algorithms, which are algorithms whose queries to the input do not depend on the result of previous queries. First, we show that an...
Ashley Montanaro
STOC
2004
ACM
153views Algorithms» more  STOC 2004»
14 years 4 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
AIEDAM
2008
127views more  AIEDAM 2008»
13 years 4 months ago
Evolving blackbox quantum algorithms using genetic programming
Although it is known that quantum computers can solve certain computational problems exponentially faster than classical computers, only a small number of quantum algorithms have ...
Ralf Stadelhofer, Wolfgang Banzhaf, Dieter Suter
FOCS
2003
IEEE
13 years 9 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis