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» Quantum lower bounds for the Goldreich-Levin problem
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FOCS
1998
IEEE
13 years 9 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 5 months ago
Adversary lower bounds for nonadaptive quantum algorithms
We present two general methods for proving lower bounds on the query complexity of nonadaptive quantum algorithms. Both methods are based on the adversary method of Ambainis. We sh...
Pascal Koiran, Jürgen Landes, Natacha Portier...
TOC
2010
155views Management» more  TOC 2010»
12 years 12 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
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 5 months ago
New upper and lower bounds for randomized and quantum local search
Local Search problem, which finds a local minimum of a black-box function on a given graph, is of both practical and theoretical importance to combinatorial optimization, complexi...
Shengyu Zhang