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FOCS
2003
IEEE
13 years 11 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis
ECCC
2008
168views more  ECCC 2008»
13 years 6 months ago
Algebrization: A New Barrier in Complexity Theory
Any proof of P = NP will have to overcome two barriers: relativization and natural proofs. Yet over the last decade, we have seen circuit lower bounds (for example, that PP does n...
Scott Aaronson, Avi Wigderson
STOC
1991
ACM
93views Algorithms» more  STOC 1991»
13 years 9 months ago
Rounds in Communication Complexity Revisited
The k-round two-party communication complexity was studied in the deterministic model by [14] and [4] and in the probabilistic model by [20] and [6]. We present new lower bounds th...
Noam Nisan, Avi Wigderson
FSTTCS
2009
Springer
14 years 22 days ago
Non-Local Box Complexity and Secure Function Evaluation
ABSTRACT. A non-local box is an abstract device into which Alice and Bob input bits x and y respectively and receive outputs a and b respectively, where a, b are uniformly distribu...
Marc Kaplan, Iordanis Kerenidis, Sophie Laplante, ...
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 8 months ago
A Direct Product Theorem for Discrepancy
Discrepancy is a versatile bound in communication complexity which can be used to show lower bounds in the distributional, randomized, quantum, and even unbounded error models of ...
Troy Lee, Adi Shraibman, Robert Spalek