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STACS
2000
Springer
13 years 8 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
FOCS
2003
IEEE
13 years 10 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
SODA
2012
ACM
227views Algorithms» more  SODA 2012»
11 years 7 months ago
Improved output-sensitive quantum algorithms for Boolean matrix multiplication
We present new quantum algorithms for Boolean Matrix Multiplication in both the time complexity and the query complexity settings. As far as time complexity is concerned, our resu...
François Le Gall
DAGSTUHL
2006
13 years 6 months ago
Semidefinite programming characterization and spectral adversary method for quantum complexity with noncommuting unitary queries
Generalizing earlier work characterizing the quantum query complexity of computing a function of an unknown classical "black box" function drawn from some set of such bl...
Howard Barnum
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 4 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous