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» Randomized Algorithms and Complexity Theory
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COCO
2001
Springer
149views Algorithms» more  COCO 2001»
15 years 10 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
COCO
2009
Springer
121views Algorithms» more  COCO 2009»
16 years 21 days ago
Lower Bounds on Quantum Multiparty Communication Complexity
A major open question in communication complexity is if randomized and quantum communication are polynomially related for all total functions. So far, no gap larger than a power o...
Troy Lee, Gideon Schechtman, Adi Shraibman
164
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FOCS
2006
IEEE
16 years 5 days ago
On the Quantum Query Complexity of Local Search in Two and Three Dimensions
The quantum query complexity of searching for local optima has been a subject of much interest in the recent literature. For the d-dimensional grid graphs, the complexity has been...
Xiaoming Sun, Andrew Chi-Chih Yao
IJAC
2008
97views more  IJAC 2008»
15 years 6 months ago
Random Generation of Finitely Generated Subgroups of a Free Group
We give an efficient algorithm to randomly generate finitely generated subgroups of a given size, in a finite rank free group. Here, the size of a subgroup is the number of vertic...
Frédérique Bassino, Cyril Nicaud, Pa...
FOCS
2007
IEEE
16 years 14 days ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova