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» Polynomial Degree vs. Quantum Query Complexity
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TCS
2002
13 years 7 months ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf
COCO
2001
Springer
149views Algorithms» more  COCO 2001»
14 years 1 days ago
Quantum versus Classical Learnability
Motivated by recent work on quantum black-box query complexity, we consider quantum versions of two wellstudied models of learning Boolean functions: Angluin’s model of exact le...
Rocco A. Servedio, Steven J. Gortler
CORR
2010
Springer
147views Education» more  CORR 2010»
13 years 6 months ago
Strong direct product theorems for quantum communication and query complexity
A strong direct product theorem (SDPT) states that solving n instances of a problem requires ˝.n/ times the resources for a single instance, even to achieve success probability 2 ...
Alexander A. Sherstov
APPROX
2008
Springer
89views Algorithms» more  APPROX 2008»
13 years 9 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
ICDT
2007
ACM
126views Database» more  ICDT 2007»
14 years 1 months ago
Combining Incompleteness and Ranking in Tree Queries
Abstract. In many cases, users may want to consider incomplete answers to their queries. Often, however, there is an overwhelming number of such answers, even if subsumed answers a...
Benny Kimelfeld, Yehoshua Sagiv