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ISTCS
1997
Springer
13 years 11 months ago
An Exact Quantum Polynomial-Time Algorithm for Simon's Problem
We investigate the power of quantum computers when they are required to return an answer that is guaranteed to be correct after a time that is upper-bounded by a polynomial in the...
Gilles Brassard, Peter Høyer
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 8 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
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
14 years 7 months ago
Lower bounds in communication complexity based on factorization norms
We introduce a new method to derive lower bounds on randomized and quantum communication complexity. Our method is based on factorization norms, a notion from Banach Space theory....
Nati Linial, Adi Shraibman
COCO
2004
Springer
121views Algorithms» more  COCO 2004»
14 years 3 days ago
Lower Bounds for Randomized and Quantum Query Complexity Using Kolmogorov Arguments
We prove a very general lower bound technique for quantum and randomized query complexity, that is easy to prove as well as to apply. To achieve this, we introduce the use of Kolm...
Sophie Laplante, Frédéric Magniez
COCO
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 7 days ago
The Quantum Adversary Method and Classical Formula Size Lower Bounds
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
Sophie Laplante, Troy Lee, Mario Szegedy