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We implement a quantum error correction algorithm for bit-flip errors on the topological toric code using deep reinforcement learning.
Paths, trees, and flowers
Jack Edmonds · 1965
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Temporal difference learning and td-gammon
Gerald Tesauro · 1995
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Scheme for reducing decoherence in quantum computer memory
Peter W. Shor · 1995
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A. M. Steane · 1996
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Quantum computation and quantum information, 2002
Michael A Nielsen and Isaac Chuang · 2002
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Topological quantum memory
Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
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Topological fault-tolerance in cluster state quantum computation
Robert Raussendorf, Jim Harrington, and Kovid Goyal · 2007
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Blossom v: a new implementation of a minimum cost perfect matching algorithm
Vladimir Kolmogorov · 2009
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Fast decoders for topological quantum codes
Guillaume Duclos-Cianci and David Poulin · 2010
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Imagenet classification with deep convolutional neural networks
Alex Krizhevsky, Ilya Sutskever, and Geoffrey E Hinton · 2012
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Surface codes: Towards practical large-scale quantum computation
Austin G Fowler, Matteo Mariantoni, John M Martinis, and Andrew N Cleland · 2012
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Playing atari with deep reinforcement learning
Volodymyr Mnih, Koray Kavukcuoglu, David Silver, Alex Graves, Ioannis Antonoglou, Daan Wierstra, and Martin Riedmiller · 2013
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Optimal complexity correction of correlated errors in the surface code
Austin G Fowler · 2013
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Machine learning for many-body physics: the case of the anderson impurity model
Louis-François Arsenault, Alejandro Lopez-Bezanilla, O Anatole von Lilienfeld, and Andrew J Millis · 2014
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Efficient algorithms for maximum likelihood decoding in the surface code
Sergey Bravyi, Martin Suchara, and Alexander Vargo · 2014
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Fault-tolerant renormalization group decoder for abelian topological codes
Guillaume Duclos-Cianci and David Poulin · 2014
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Topological codes and computation a lecture course given at the university of innsbruck
Dan Browne · 2014
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Deep learning
Yann LeCun, Yoshua Bengio, and Geoffrey Hinton · 2015
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Human-level control through deep reinforcement learning
Volodymyr Mnih, Koray Kavukcuoglu, David Silver, Andrei A Rusu, Joel Veness, Marc G Bellemare, Alex Graves, Martin Riedmiller, Andreas K Fidjeland, Georg Ostrovski, et al · 2015
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Quantum error correction for quantum memories
Barbara M Terhal · 2015
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State preservation by repetitive error detection in a superconducting quantum circuit
Julian Kelly, Rami Barends, Austin G Fowler, Anthony Megrant, Evan Jeffrey, Theodore C White, Daniel Sank, Josh Y Mutus, Brooks Campbell, Yu Chen, et al · 2015
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Minimum weight perfect matching of fault-tolerant topological quantum error correction in average o(1) parallel time
Reinforcement learning: An introduction
Richard S Sutton and Andrew G Barto · 2018
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Alexey A Melnikov, Hendrik Poulsen Nautrup, Mario Krenn, Vedran Dunjko, Markus Tiersch, Anton Zeilinger, and Hans J Briegel · 2018
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Thomas Fösel, Petru Tighineanu, Talitha Weiss, and Florian Marquardt · 2018
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Marin Bukov, Alexandre G. R. Day, Dries Sels, Phillip Weinberg, Anatoli Polkovnikov, and Pankaj Mehta · 2018
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Reinforcement learning decoders for fault-tolerant quantum computation
Ryan Sweke, Markus S Kesselring, Evert PL van Nieuwenburg, and Jens Eisert · 2018
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Austin G Fowler · 2015
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Cellular-automaton decoders for topological quantum memories
Michael Herold, Earl T Campbell, Jens Eisert, and Michael J Kastoryano · 2015
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Deep Learning
Ian Goodfellow, Yoshua Bengio, and Aaron Courville · 2016
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Juan Carrasquilla and Roger G Melko · 2017
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