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CORR
2010
Springer
76views Education» more  CORR 2010»
13 years 11 months ago
Nonadaptive quantum query complexity
We study the power of nonadaptive quantum query algorithms, which are algorithms whose queries to the input do not depend on the result of previous queries. First, we show that an...
Ashley Montanaro
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 11 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...
FOCS
2003
IEEE
14 years 4 months ago
Polynomial Degree vs. Quantum Query Complexity
The degree of a polynomial representing (or approximating) a function f is a lower bound for the quantum query complexity of f. This observation has been a source of many lower bo...
Andris Ambainis
DAGSTUHL
2006
14 years 7 days 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
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 10 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous