4.2 Article

An improved lower bound on query complexity for quantum PAC learning

期刊

INFORMATION PROCESSING LETTERS
卷 111, 期 1, 页码 40-45

出版社

ELSEVIER
DOI: 10.1016/j.ipl.2010.10.007

关键词

PAC (Probably Approximately Correct); learning; Lower bound; Quantum algorithm; VC dimension; Computational complexity

资金

  1. National Science Foundation
  2. Direct For Computer & Info Scie & Enginr
  3. Division of Computing and Communication Foundations [0829537] Funding Source: National Science Foundation

向作者/读者索取更多资源

In this paper, we study the quantum PAC learning model, offering an improved lower bound on the query complexity. For a concept class with VC dimension d, the lower bound is Omega(1/epsilon(d(1-e) + log(1/delta))) for epsilon accuracy and 1 - delta confidence, where e can be an arbitrarily small positive number. The lower bound is very close to the best lower bound known on query complexity for the classical PAC learning model, which is Omega(1/epsilon(d + log(1/delta))) (c) 2010 Elsevier B.V. All rights reserved.

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