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A Survey of Quantum Learning Theory

Quantum Physics 2017-07-31 v3 Computational Complexity Machine Learning

Abstract

This paper surveys quantum learning theory: the theoretical aspects of machine learning using quantum computers. We describe the main results known for three models of learning: exact learning from membership queries, and Probably Approximately Correct (PAC) and agnostic learning from classical or quantum examples.

Keywords

Cite

@article{arxiv.1701.06806,
  title  = {A Survey of Quantum Learning Theory},
  author = {Srinivasan Arunachalam and Ronald de Wolf},
  journal= {arXiv preprint arXiv:1701.06806},
  year   = {2017}
}

Comments

26 pages LaTeX. v2: many small changes to improve the presentation. This version will appear as Complexity Theory Column in SIGACT News in June 2017. v3: fixed a small ambiguity in the definition of gamma(C) and updated a reference

R2 v1 2026-06-22T17:58:25.960Z