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» Lower Bounds for Quantum Search and Derandomization
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CORR
1998
Springer
106views Education» more  CORR 1998»
13 years 4 months ago
Lower Bounds for Quantum Search and Derandomization
We prove lower bounds on the error probability of a quantum algorithm for searching through an unordered list of N items, as a function of the number T of queries it makes. In par...
Harry Buhrman, Ronald de Wolf
STOC
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 5 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson
TOC
2010
155views Management» more  TOC 2010»
12 years 11 months ago
A New Quantum Lower Bound Method, with an Application to a Strong Direct Product Theorem for Quantum Search
Abstract: We present a new method for proving lower bounds on quantum query algorithms. The new method is an extension of the adversary method, by analyzing the eigenspace structur...
Andris Ambainis
STOC
2006
ACM
166views Algorithms» more  STOC 2006»
14 years 5 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
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 6 months ago
Quantum and Randomized Lower Bounds for Local Search on Vertex-Transitive Graphs
We study the problem of local search on a graph. Given a real-valued black-box function f on the graph's vertices, this is the problem of determining a local minimum of f--a v...
Hang Dinh, Alexander Russell