Sciweavers

121 search results - page 14 / 25
» The complexity of the Quantum Adiabatic Algorithm
Sort
View
FOCS
2007
IEEE
15 years 4 months ago
Quantum Algorithms for Hidden Nonlinear Structures
Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central prob...
Andrew M. Childs, Leonard J. Schulman, Umesh V. Va...
COCO
2008
Springer
86views Algorithms» more  COCO 2008»
14 years 12 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
94
Voted
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
15 years 10 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
STOC
2004
ACM
153views Algorithms» more  STOC 2004»
15 years 10 months ago
Quantum and classical query complexities of local search are polynomially related
Let f be an integer valued function on a finite set V . We call an undirected graph G(V, E) a neighborhood structure for f. The problem of finding a local minimum for f can be phr...
Miklos Santha, Mario Szegedy
91
Voted
CORR
2010
Springer
160views Education» more  CORR 2010»
14 years 10 months ago
New Results on Quantum Property Testing
We present several new examples of speed-ups obtainable by quantum algorithms in the context of property testing. First, motivated by sampling algorithms, we consider probability d...
Sourav Chakraborty, Eldar Fischer, Arie Matsliah, ...