Equivalences and Separations Between Quantum and Classical Learnability

  title={Equivalences and Separations Between Quantum and Classical Learnability},
  author={Rocco A. Servedio and Steven J. Gortler},
  journal={SIAM J. Comput.},
We consider quantum versions of two well-studied models of learning Boolean functions: Angluin’s model of exact learning from membership queries and Valiant’s Probably Approximately Correct (PAC) model of learning from random examples. For each of these two learning models we establish a polynomial relationship between the number of quantum versus classical queries required for learning. These results contrast known results which show that testing black-box functions for various properties, as… CONTINUE READING
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