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» Adversary lower bounds for nonadaptive quantum algorithms
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FOCS
2002
IEEE
15 years 11 months ago
Learning a Hidden Matching
We consider the problem of learning a matching (i.e., a graph in which all vertices have degree 0 or 1) in a model where the only allowed operation is to query whether a set of ve...
Noga Alon, Richard Beigel, Simon Kasif, Steven Rud...
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
15 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
ALT
2006
Springer
16 years 2 months ago
How Many Query Superpositions Are Needed to Learn?
Abstract. This paper introduces a framework for quantum exact learning via queries, the so-called quantum protocol. It is shown that usual protocols in the classical learning setti...
Jorge Castro
STOC
2007
ACM
84views Algorithms» more  STOC 2007»
16 years 6 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
2010
Springer
135views Algorithms» more  COCO 2010»
15 years 10 months ago
Lower Bounds for Testing Function Isomorphism
—We prove new lower bounds in the area of property testing of boolean functions. Specifically, we study the problem of testing whether a boolean function f is isomorphic to a ...
Eric Blais, Ryan O'Donnell