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» Quantum Query Complexity of Multilinear Identity Testing
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ICALP
2005
Springer
13 years 11 months ago
Quantum Complexity of Testing Group Commutativity
We consider the problem of testing the commutativity of a black-box group specified by its k generators. The complexity (in terms of k) of this problem was first considered by Pa...
Frédéric Magniez, Ashwin Nayak
COCO
2001
Springer
149views Algorithms» more  COCO 2001»
13 years 10 months 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
STACS
2010
Springer
14 years 11 days ago
Quantum Algorithms for Testing Properties of Distributions
Abstract. Suppose one has access to oracles generating samples from two unknown probability distributions p and q on some N-element set. How many samples does one need to test whet...
Sergey Bravyi, Aram Wettroth Harrow, Avinatan Hass...
STOC
2005
ACM
132views Algorithms» more  STOC 2005»
14 years 5 months ago
Locally decodable codes with 2 queries and polynomial identity testing for depth 3 circuits
In this work we study two, seemingly unrelated, notions. Locally Decodable Codes (LDCs) are codes that allow the recovery of each message bit from a constant number of entries of ...
Zeev Dvir, Amir Shpilka
COLT
2010
Springer
13 years 3 months ago
Quantum Predictive Learning and Communication Complexity with Single Input
We define a new model of quantum learning that we call Predictive Quantum (PQ). This is a quantum analogue of PAC, where during the testing phase the student is only required to a...
Dmitry Gavinsky