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» Separating Quantum and Classical Learning
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ICALP
2001
Springer
13 years 9 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 4 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 2 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 4 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»
12 years 11 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