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» Quantum Lower Bounds by Polynomials
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SODA
2012
ACM
217views Algorithms» more  SODA 2012»
11 years 9 months ago
Polynomial integrality gaps for strong SDP relaxations of Densest k-subgraph
The Densest k-subgraph problem (i.e. find a size k subgraph with maximum number of edges), is one of the notorious problems in approximation algorithms. There is a significant g...
Aditya Bhaskara, Moses Charikar, Aravindan Vijayar...
EUROCRYPT
2003
Springer
14 years 19 days ago
New Bounds in Secret-Key Agreement: The Gap between Formation and Secrecy Extraction
Perfectly secret message transmission can be realized with only partially secret and weakly correlated information shared by the parties as soon as this information allows for the ...
Renato Renner, Stefan Wolf
ALGORITHMICA
2002
94views more  ALGORITHMICA 2002»
13 years 7 months ago
The Quantum Black-Box Complexity of Majority
We describe a quantum black-box network computing the majority of N bits with zerosided error using only 2 3 N + O( N log( -1 log N)) queries: the algorithm returns the correct an...
Thomas P. Hayes, Samuel Kutin, Dieter van Melkebee...
STOC
2010
ACM
168views Algorithms» more  STOC 2010»
14 years 4 months ago
Non-commutative circuits and the sum-of-squares problem
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Pavel Hrubes, Avi Wigderson and Amir Yehudayoff
MFCS
2004
Springer
14 years 23 days ago
Generation Problems
Given a fixed computable binary operation , we study the complexity of the following generation problem: The input consists of strings ½ Ò . The question is whether is in the c...
Elmar Böhler, Christian Glaßer, Bernhar...