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JAT
2010
61views more  JAT 2010»
13 years 5 months ago
Close-to-optimal bounds for SU(N) loop approximation
In [6], we proved an asymptotic O(n−α/(α+1)) bound for the approximation of SU(N) loops (N ≥ 2) with Lipschitz smoothness α > 1/2 by polynomial loops of degree ≤ n. Th...
Peter Oswald, Tatiana Shingel
TOC
2010
155views Management» more  TOC 2010»
13 years 2 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis
ISTCS
1995
Springer
13 years 11 months ago
Some Improvements to Total Degree Tests
A low-degree test is a collection of simple, local rules for checking the proximity of an arbitrary function to a lowdegree polynomial. Each rule depends on the function’s value...
Katalin Friedl, Madhu Sudan
IS
2010
13 years 5 months ago
Extracting a largest redundancy-free XML storage structure from an acyclic hypergraph in polynomial time
Given a hypergraph and a set of embedded functional dependencies, we investigate the problem of determining the conditions under which we can efficiently generate redundancy-free ...
Wai Yin Mok, Joseph Fong, David W. Embley
CC
2008
Springer
150views System Software» more  CC 2008»
13 years 7 months ago
Balancing Syntactically Multilinear Arithmetic Circuits
In their seminal paper, Valiant, Skyum, Berkowitz and Rackoff proved that arithmetic circuits can be balanced [VSBR]. That is, [VSBR] showed that for every arithmetic circuit of ...
Ran Raz, Amir Yehudayoff