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Inspired by the success of Boltzmann Machines based on classical Boltzmann distribution, we propose a new machine learning approach based on quantum Boltzmann distribution of a transverse-field Ising Hamiltonian.
S. Golden, Lower bounds for the Helmholtz function, Phys. Rev., 137
1965
Earlier work this paper cites.
C.J. Thompson, Inequality with applications in statistical mechanics, J. Math. Phys. 6
1965
Earlier work this paper cites.
G. E. Hinton, T. J. Sejnowski, Optimal perceptual inference, CVPR 1983
1983
Earlier work this paper cites.
T. J. Sejnowski, Higher-order Boltzmann machines, AIP Conference Proceedings 151: Neural Networks for Computing (1986)
1986
Earlier work this paper cites.
C.M. Bishop, Pattern Recognition and Machine Learning, Springer 2006
2006
Earlier work this paper cites.
G. E. Hinton, S. Osindero, Y-W. Teh, A fast learning algorithm for deep belief nets, Neural Comput. 18
2006
Earlier work this paper cites.
S. Osindero and G.E. Hinton, Modeling image patches with a directed hierarchy of Markov random fields, Advances in neural information processing systems (2008)
2008
Earlier work this paper cites.
R. Salakhutdinov, G. E. Hinton, Deep Boltzmann machines, AISTATS 2009
2009
Earlier work this paper cites.
M. Ranzato, G. E. Hinton, Modeling pixel means and covariances using factorized third-order Boltzmann machines, CVPR 2010
2010
Cited alongside, same era.
R. Memisevic, G. E. Hinton, Learning to represent spatial transformation with factored higher-order Boltzmann machines, Neural Comput. 22
2010
Cited alongside, same era.
R. Harris et al
2010
Cited alongside, same era.
M. Denil and N. de Freitas, Toward the implementation of a quantum RBM, NIPS*2011 Workshop on Deep Learning and Unsupervised Feature Learning
2011
Cited alongside, same era.
M.W. Johnson, M.H.S. Amin, S. Gildert, T. Lanting, F. Hamze, N. Dickson, R. Harris, A.J. Berkley, J. Johansson, P. Bunyk, E.M. Chapple, C. Enderud, J.P. Hilton, K. Karimi, E. Ladizinsky, N. Ladizinsky, T. Oh, I. Perminov, C. Rich, M.C. Thom, E. Tolkacheva, C.J.S. Truncik, S. Uchaikin, J. Wang, B. Wilson, and G. Rose, Quantum Annealing with Manufactured Spins, Nature 473
P. Rebentrost, M. Mohseni, S. Lloyd, Quantum support vector machine for big data classification, Phys. Rev. Lett. 113
2014
Later among the works it cites.
V. Dumoulin, I.J. Goodfellow, A. Courville, Y. and Bengio, On the Challenges of Physical Implementations of RBMs, AAAI 2014: 1199-1205
2014
Later among the works it cites.
S. Boixo, T.F. Rønnow, S.V. Isakov, Z. Wang, D. Wecker, D.A. Lidar, J.M. Martinis, M. Troyer, Nature Phys. 10
2014
Later among the works it cites.
2014
Later among the works it cites.
T. Lanting et al
2014
Later among the works it cites.
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2011
Cited alongside, same era.
S. Boixo, T. Albash, F. M. Spedalieri, N. Chancellor, and D.A. Lidar, Experimental Signature of Programmable Quantum Annealing, Nat. Commun. 4
2013
Cited alongside, same era.
N.G. Dickson, M.W. Johnson, M.H. Amin, R. Harris, F. Altomare, A. J. Berkley, P. Bunyk, J. Cai, E. M. Chapple, P. Chavez, F. Cioata, T. Cirip, P. deBuen, M. Drew-Brook, C. Enderud, S. Gildert, F. Hamze, J.P. Hilton, E. Hoskinson, K. Karimi, E. Ladizinsky, N. Ladizinsky, T. Lanting, T. Mahon, R. Neufeld, T. Oh, I. Perminov, C. Petroff, A. Przybysz, C. Rich, P. Spear, A. Tcaciuc, M.C. Thom, E. Tolkacheva, S. Uchaikin, J. Wang, A. B. Wilson, Z. Merali, and G. Rose, Thermally assisted quantum annealing of a 16-qubit problem, Nature Commun. 4
2013
Cited alongside, same era.
Cited in the paper.
N. Wiebe, A. Kapoor, and K.M. Svore, Quantum Deep Learning, eprint: arXiv:1412.3489
Cited in the paper.
Cited in the paper.
Cited in the paper.
Cited in the paper.
M.I. Jordan and T.M. Mitchell, Machine learning: Trends, perspectives, and prospects, Science 349
2015
Later among the works it cites.
M.H. Amin, Searching for quantum speedup in quasistatic quantum annealers, Phys. Rev. A 92
2015
Later among the works it cites.