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» Separating Quantum and Classical Learning
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ICALP
2001
Springer
13 years 11 months ago
Separating Quantum and Classical Learning
We consider a model of learning Boolean functions from quantum membership queries. This model was studied in [26], where it was shown that any class of Boolean functions which is i...
Rocco A. Servedio
ALGORITHMICA
2002
121views more  ALGORITHMICA 2002»
13 years 6 months ago
Sharp Quantum versus Classical Query Complexity Separations
We obtain the strongest separation between quantum and classical query complexity known to date--specifically, we define a black-box problem that requires exponentially many querie...
J. Niel de Beaudrap, Richard Cleve, John Watrous
COLT
2010
Springer
13 years 4 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
ENTCS
2007
174views more  ENTCS 2007»
13 years 6 months ago
Quantum Patterns and Types for Entanglement and Separability
As a first step toward a notion of quantum data structures, we introduce a typing system for reflecting entanglement and separability. This is presented in the context of classi...
Simon Perdrix
CORR
2010
Springer
312views Education» more  CORR 2010»
13 years 1 months ago
Quantum One-Way Communication is Exponentially Stronger Than Classical Communication
In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only O(log n) qubits, but for which any classical (randomized, bounded-error) ...
Bo'az Klartag, Oded Regev