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» The Quantum Query Complexity of Algebraic Properties
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FCT
2007
Springer
13 years 10 months ago
The Quantum Query Complexity of Algebraic Properties
We present quantum query complexity bounds for testing algebraic properties. For a set S and a binary operation on S, we consider the decision problem whether S is a semigroup or ...
Sebastian Dörn, Thomas Thierauf
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
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
13 years 10 months ago
Graph Properties and Circular Functions: How Low Can Quantum Query Complexity Go?
In decision tree models, considerable attention has been paid on the effect of symmetry on computational complexity. That is, for a permutation group Γ, how low can the complexit...
Xiaoming Sun, Andrew Chi-Chih Yao, Shengyu Zhang
CORR
2010
Springer
43views Education» more  CORR 2010»
13 years 1 months ago
Quantum query complexity of minor-closed graph properties
Andrew M. Childs, Robin Kothari
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 4 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...