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» Adversary lower bounds for nonadaptive quantum algorithms
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FOCS
2002
IEEE
15 years 6 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 3 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
15 years 10 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 1 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 5 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