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Author:

Arunachalam Srinivasan1,de Wolf Ronald2

Affiliation:

1. QuSoft, CWI, Amsterdam, The Netherlands

2. CWI and University of Amsterdam, The Netherlands

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.

Publisher

Association for Computing Machinery (ACM)

Reference83 articles.

1. J. Adcock E. Allen M. Day S. Frick J. Hinchliff M. Johnson S. Morley-Short S. Pallister A. Price and S. Stanisic. Advances in quantum machine learning 9 Dec 2015. arXiv:1512.02900. J. Adcock E. Allen M. Day S. Frick J. Hinchliff M. Johnson S. Morley-Short S. Pallister A. Price and S. Stanisic. Advances in quantum machine learning 9 Dec 2015. arXiv:1512.02900.

2. S. Aaronson. Ten semi-grand challenges for quantum computing theory. http://www.scottaaronson.com/writings/qchallenge.html 2005. S. Aaronson. Ten semi-grand challenges for quantum computing theory. http://www.scottaaronson.com/writings/qchallenge.html 2005.

3. The learnability of quantum states;Aaronson S.;Proceedings of the Royal Society of London,2007

4. Read the fine print

5. M. Anthony and P. Bartlett. Function learning from interpolation. Combinatorics Probability and Computing 9(3):213--225 2000. Earlier version in EuroCOLT'95. 10.1017/S0963548300004247 M. Anthony and P. Bartlett. Function learning from interpolation. Combinatorics Probability and Computing 9(3):213--225 2000. Earlier version in EuroCOLT'95. 10.1017/S0963548300004247

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3. Learning quantum finite automata with queries;Mathematical Structures in Computer Science;2023-11-30

4. Tunable Quantum Neural Networks in the QPAC-Learning Framework;Electronic Proceedings in Theoretical Computer Science;2023-11-16

5. Framework for learning and control in the classical and quantum domains;Annals of Physics;2023-11

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