Quantum-enhanced machine learning

The emerging field of quantum machine learning has the potential to substantially aid in the problems and scope of artificial intelligence. This is only enhanced by recent successes in the field of classical machine learning. In this work we propose an approach for the systematic treatment of machine learning, from the perspective of quantum information. Our approach is general and covers all three main branches of machine learning: supervised, unsupervised, and reinforcement learning. While quantum improvements in supervised and unsupervised learning have been reported, reinforcement learning has received much less attention. Within our approach, we tackle the problem of quantum enhancements in reinforcement learning as well, and propose a systematic scheme for providing improvements. As an example, we show that quadratic improvements in learning efficiency, and exponential improvements in performance over limited time periods, can be obtained for a broad class of learning problems.

[1]  Seth Lloyd,et al.  Quantum random access memory. , 2007, Physical review letters.

[2]  San Cristóbal Mateo,et al.  The Lack of A Priori Distinctions Between Learning Algorithms , 1996 .

[3]  Barry C. Sanders,et al.  Evolutionary Algorithms for Hard Quantum Control , 2014, 1403.0943.

[4]  H. J. Briegel,et al.  Adaptive quantum computation in changing environments using projective simulation , 2014, Scientific Reports.

[5]  Hans-J. Briegel,et al.  Framework for learning agents in quantum environments , 2015, ArXiv.

[6]  A. Zeilinger,et al.  Automated Search for new Quantum Experiments. , 2015, Physical review letters.

[7]  Thomas Jansen,et al.  Optimization with randomized search heuristics - the (A)NFL theorem, realistic scenarios, and difficult functions , 2002, Theor. Comput. Sci..

[8]  Peter Wittek,et al.  Quantum Machine Learning: What Quantum Computing Means to Data Mining , 2014 .

[9]  Rocco A. Servedio,et al.  Quantum versus classical learnability , 2000, Proceedings 16th Annual IEEE Conference on Computational Complexity.

[10]  Rocco A. Servedio,et al.  Advances in quantum computational learning theory , 2006 .

[11]  Hans-J. Briegel,et al.  Meta-learning within Projective Simulation , 2016, IEEE Access.

[12]  Neil B. Lovett,et al.  Differential evolution for many-particle adaptive quantum metrology. , 2013, Physical review letters.

[13]  Tzyh Jong Tarn,et al.  Quantum Reinforcement Learning , 2005, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[14]  Vedran Dunjko,et al.  Quantum speedup for active learning agents , 2014, 1401.4997.

[15]  Hans J. Briegel,et al.  Projective simulation for artificial intelligence , 2011, Scientific Reports.

[16]  Gilles Brassard,et al.  Quantum speed-up for unsupervised learning , 2012, Machine Learning.

[17]  Maria Schuld,et al.  The quest for a Quantum Neural Network , 2014, Quantum Information Processing.

[18]  Thierry Paul,et al.  Quantum computation and quantum information , 2007, Mathematical Structures in Computer Science.

[19]  G. Brassard,et al.  Quantum Amplitude Amplification and Estimation , 2000, quant-ph/0005055.

[20]  Richard S. Sutton,et al.  Reinforcement Learning: An Introduction , 1998, IEEE Trans. Neural Networks.

[21]  Jelena Stajic,et al.  Artificial intelligence. Rise of the Machines. , 2015, Science.

[22]  Richard S. Sutton,et al.  Integrated Architectures for Learning, Planning, and Reacting Based on Approximating Dynamic Programming , 1990, ML.

[23]  Claus Kiefer,et al.  Quantum Measurement and Control , 2010 .

[24]  S. Lloyd,et al.  Quantum algorithms for supervised and unsupervised machine learning , 2013, 1307.0411.

[25]  Gilles Brassard,et al.  Tight bounds on quantum searching , 1996, quant-ph/9605034.

[26]  Graham R. Wood,et al.  Grover's Quantum Algorithm Applied to Global Optimization , 2005, SIAM J. Optim..

[27]  Gilles Brassard,et al.  Machine Learning in a Quantum World , 2006, Canadian AI.

[28]  H. Briegel,et al.  Fundamentals of universality in one-way quantum computation , 2007, quant-ph/0702116.

[29]  Peter Norvig,et al.  Artificial Intelligence: A Modern Approach , 1995 .

[30]  Christoph Dürr,et al.  A Quantum Algorithm for Finding the Minimum , 1996, ArXiv.

[31]  Theodore J. Yoder,et al.  Fixed-point quantum search with an optimal number of queries. , 2014, Physical review letters.

[32]  Demis Hassabis,et al.  Mastering the game of Go with deep neural networks and tree search , 2016, Nature.