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» The Quantum Query Complexity of Algebraic Properties
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FCT
2007
Springer
15 years 3 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»
14 years 9 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»
15 years 2 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»
14 years 6 months ago
Quantum query complexity of minor-closed graph properties
Andrew M. Childs, Robin Kothari
CORR
2010
Springer
160views Education» more  CORR 2010»
14 years 9 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, ...