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» Quantum lower bounds by quantum arguments
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STOC
2007
ACM
98views Algorithms» more  STOC 2007»
14 years 8 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
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 10 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 8 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
2005
Springer
150views Algorithms» more  COCO 2005»
14 years 2 months 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
FSTTCS
2010
Springer
13 years 6 months ago
Lower bounds for Quantum Oblivious Transfer
Oblivious transfer is a fundamental primitive in cryptography. While perfect information theoretic security is impossible, quantum oblivious transfer protocols can limit the disho...
André Chailloux, Iordanis Kerenidis, Jamie ...