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» Quantum query complexity of minor-closed graph properties
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FCT
2007
Springer
13 years 11 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
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...
STACS
2010
Springer
14 years 7 days ago
Quantum Algorithms for Testing Properties of Distributions
Abstract. Suppose one has access to oracles generating samples from two unknown probability distributions p and q on some N-element set. How many samples does one need to test whet...
Sergey Bravyi, Aram Wettroth Harrow, Avinatan Hass...
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
COCO
2001
Springer
149views Algorithms» more  COCO 2001»
13 years 9 months ago
Quantum versus Classical Learnability
Motivated by recent work on quantum black-box query complexity, we consider quantum versions of two wellstudied models of learning Boolean functions: Angluin’s model of exact le...
Rocco A. Servedio, Steven J. Gortler