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» Quantum Query Complexity of Multilinear Identity Testing
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ICALP
2005
Springer
14 years 1 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»
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
STACS
2010
Springer
14 years 2 months 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 7 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 5 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