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» Quantum Lower Bounds by Polynomials
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DATE
2004
IEEE
144views Hardware» more  DATE 2004»
13 years 11 months ago
Smaller Two-Qubit Circuits for Quantum Communication and Computation
We show how to implement an arbitrary two-qubit unitary operation using any of several quantum gate libraries with small a priori upper bounds on gate counts. In analogy to librar...
Vivek V. Shende, Igor L. Markov, Stephen S. Bulloc...
ESA
2004
Springer
129views Algorithms» more  ESA 2004»
14 years 23 days ago
Contraction and Treewidth Lower Bounds
Edge contraction is shown to be a useful mechanism to improve lower bound heuristics for treewidth. A successful lower bound for treewidth is the degeneracy: the maximum over all ...
Hans L. Bodlaender, Arie M. C. A. Koster, Thomas W...
JC
2011
87views more  JC 2011»
13 years 2 months ago
Lower bounds for the complexity of linear functionals in the randomized setting
Abstract. Hinrichs [3] recently studied multivariate integration defined over reproducing kernel Hilbert spaces in the randomized setting and for the normalized error criterion. I...
Erich Novak, Henryk Wozniakowski
COLT
2006
Springer
13 years 11 months ago
Efficient Learning Algorithms Yield Circuit Lower Bounds
We describe a new approach for understanding the difficulty of designing efficient learning algorithms. We prove that the existence of an efficient learning algorithm for a circui...
Lance Fortnow, Adam R. Klivans
CORR
2006
Springer
97views Education» more  CORR 2006»
13 years 7 months ago
The one-way communication complexity of the Boolean Hidden Matching Problem
We give a tight lower bound of ( n) for the randomized one-way communication complexity of the Boolean Hidden Matching Problem [BJK04]. Since there is a quantum one-way communica...
Iordanis Kerenidis, Ran Raz