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COCO
2008
Springer
108views Algorithms» more  COCO 2008»
13 years 7 months ago
Exponential Separation of Quantum and Classical Non-interactive Multi-party Communication Complexity
We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing setti...
Dmitry Gavinsky, Pavel Pudlák
COCO
2008
Springer
100views Algorithms» more  COCO 2008»
13 years 7 months ago
Detecting Rational Points on Hypersurfaces over Finite Fields
We study the complexity of deciding whether a given homogeneous multivariate polynomial has a nontrivial root over a finite field. Given a homogeneous algebraic circuit C that com...
Swastik Kopparty, Sergey Yekhanin
COCO
2008
Springer
91views Algorithms» more  COCO 2008»
13 years 7 months ago
Amplifying ZPP^SAT[1] and the Two Queries Problem
This paper shows a complete upward collapse in the Polynomial Hierarchy (PH) if for ZPP, two queries to a SAT oracle is equivalent to one query. That is, ZPPSAT[1] = ZPPSAT [2] = ...
Richard Chang, Suresh Purini
COCO
2008
Springer
146views Algorithms» more  COCO 2008»
13 years 7 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
COCO
2008
Springer
88views Algorithms» more  COCO 2008»
13 years 7 months ago
Approximation of Natural W[P]-Complete Minimisation Problems Is Hard
We prove that the weighted monotone circuit satisfiability problem has no fixed-parameter tractable approximation algorithm with constant or polylogarithmic approximation ratio un...
Kord Eickmeyer, Martin Grohe, Magdalena Grübe...