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» Average-Case Quantum Query Complexity
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STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 7 months ago
Negative weights make adversaries stronger
The quantum adversary method is one of the most successful techniques for proving lower bounds on quantum query complexity. It gives optimal lower bounds for many problems, has ap...
Peter Høyer, Troy Lee, Robert Spalek
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 7 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
CORR
2010
Springer
160views Education» more  CORR 2010»
13 years 7 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, ...
COCO
2008
Springer
86views Algorithms» more  COCO 2008»
13 years 9 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
STACS
2010
Springer
14 years 2 months ago
Quantum Algorithms for Testing Properties of Distributions
Abstract. Suppose one has access to oracles generating samples from two unknown probability distributions p and q on some N-element set. How many samples does one need to test whet...
Sergey Bravyi, Aram Wettroth Harrow, Avinatan Hass...