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Inspired by the possibility that generative models based on quantum circuits can provide a useful inductive bias for sequence modeling tasks, we propose an efficient training algorithm for a subset of classically simulable quantum circuit models.
E Miles Stoudenmire · 1902
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Expressive power and approximation errors of restricted boltzmann machines
Guido F. Montúfar, Johannes Rauh, and Nihat Ay · 2011
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The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2011
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A quantum approximate optimization algorithm
Edward Farhi, Jeffrey Goldstone, and Sam Gutmann · 2014
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A practical introduction to tensor networks: Matrix product states and projected entangled pair states
Román Orús · 2014
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’brien · 2014
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Temporally unstructured quantum computation
Dan Shepherd and Michael J. Bremner · 2015
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Quantum machine learning
Jacob Biamonte, Peter Wittek, Nicola Pancotti, Patrick Rebentrost, Nathan Wiebe, and Seth Lloyd · 2017
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Hand-waving and interpretive dance: an introductory course on tensor networks
Jacob C Bridgeman and Christopher T Chubb · 2017
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Mohammad H Amin, Evgeny Andriyash, Jason Rolfe, Bohdan Kulchytskyy, and Roger Melko · 2018
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Marcello Benedetti, Delfina Garcia-Pintos, Oscar Perdomo, Vicente Leyton-Ortega, Yunseong Nam, and Alejandro Perdomo-Ortiz · 2018
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The expressive power of parameterized quantum circuits
Yuxuan Du, Min-Hsiu Hsieh, Tongliang Liu, and Dacheng Tao · 2018
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Learning quantum models from quantum or classical data
Hilbert J Kappen · 2018
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Continuous-variable quantum neural networks
Nathan Killoran, Thomas R Bromley, Juan Miguel Arrazola, Maria Schuld, Nicolás Quesada, and Seth Lloyd · 2018
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Differentiable learning of quantum circuit born machine
Jin-Guo Liu and Lei Wang · 2018
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Quantum computing in the nisq era and beyond
John Preskill · 2018
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Weighted contrastive divergence
Enrique Romero, Ferran Mazzanti Castrillejo, Jordi Delgado, and David Buchaca · 2018
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Unsupervised generative modeling using matrix product states
Zhao-Yu Han, Jun Wang, Heng Fan, Lei Wang, and Pan Zhang · 2018
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Towards quantum machine learning with tensor networks
William Huggins, Piyush Patel, K Birgitta Whaley, and E Miles Stoudenmire · 2018
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Song Cheng, Lei Wang, Tao Xiang, and Pan Zhang · 2019
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