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COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 6 months ago
The Multiplicative Quantum Adversary
We present a new variant of the quantum adversary method. All adversary methods give lower bounds on the quantum query complexity of a function by bounding the change of a progres...
Robert Spalek
TIT
2008
111views more  TIT 2008»
13 years 4 months ago
The Bounded-Storage Model in the Presence of a Quantum Adversary
An extractor is a function that is used to extract randomness. Given an imperfect random source X and a uniform seed Y , the output (X; Y ) is close to uniform. We study properties...
Robert T. König, Barbara M. Terhal
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
13 years 10 months ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy
ICALP
2005
Springer
13 years 10 months ago
All Quantum Adversary Methods Are Equivalent
Abstract: The quantum adversary method is one of the most versatile lower-bound methods for quantum algorithms. We show that all known variants of this method are equivalent: spect...
Robert Spalek, Mario Szegedy
DAGSTUHL
2006
13 years 6 months ago
Semidefinite programming characterization and spectral adversary method for quantum complexity with noncommuting unitary queries
Generalizing earlier work characterizing the quantum query complexity of computing a function of an unknown classical "black box" function drawn from some set of such bl...
Howard Barnum