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» Adversary lower bounds for nonadaptive quantum algorithms
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FOCS
2000
IEEE
15 years 4 months ago
Fast parallel circuits for the quantum Fourier transform
We give new bounds on the circuit complexity of the quantum Fourier transform (QFT). We give an upper bound of Ç´ÐÓ Ò · ÐÓ ÐÓ ´½ µµ on the circuit depth for computin...
Richard Cleve, John Watrous
STOC
2001
ACM
151views Algorithms» more  STOC 2001»
15 years 12 months ago
On the cell probe complexity of membership and perfect hashing
We study two fundamental static data structure problems, membership and perfect hashing, in Yao's cell probe model. The first space and bit probe optimal worst case upper bou...
Rasmus Pagh
ICALP
2005
Springer
15 years 5 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
WADS
2005
Springer
95views Algorithms» more  WADS 2005»
15 years 5 months ago
Improved Combinatorial Group Testing for Real-World Problem Sizes
We study practically efficient methods for performing combinatorial group testing. We present efficient non-adaptive and two-stage combinatorial group testing algorithms, which i...
David Eppstein, Michael T. Goodrich, Daniel S. Hir...
FOCS
2003
IEEE
15 years 5 months ago
Quantum Search of Spatial Regions
: Can Grover’s algorithm speed up search of a physical region—for example a 2-D grid of size √ n × √ n? The problem is that √ n time seems to be needed for each query, j...
Scott Aaronson, Andris Ambainis