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Surface codes reach high error thresholds when decoded with known algorithms, but the decoding time will likely exceed the available time budget, especially for near-term implementations.
First experimental demonstration of an exact quantum search algorithm in nuclear magnetic resonance system
Yang Liu and FeiHao Zhang · 1927
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Paths, trees, and flowers
Jack Edmonds · 1965
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Peter W. Shor · 1997
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Quantum mechanics helps in searching for a needle in a haystack
Lov K. Grover · 1997
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Stabilizer Codes and Quantum Error Correction
Daniel Gottesman · 1997
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Reliable quantum computers
John Preskill · 1998
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Quantum codes on a lattice with boundary
Sergey B Bravyi and A Yu Kitaev · 1998
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Projective plane and planar quantum codes
Michael H Freedman and David A Meyer · 2001
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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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Combinatorial Optimization: Polyhedra and Efficiency
A. Schrijver · 2003
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Information theory, inference and learning algorithms
David JC MacKay · 2003
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Optimal and efficient decoding of concatenated quantum block codes
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Topological quantum distillation
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Optimal resources for topological two-dimensional stabilizer codes: Comparative study
H Bombin and Miguel A Martin-Delgado · 2007
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Demonstration of two-qubit algorithms with a superconducting quantum processor
L. DiCarlo, J. M. Chow, J. M. Gambetta, Lev S. Bishop, B. R. Johnson, D. I. Schuster, J. Majer, A. Blais, L. Frunzio, S. M. Girvin, and R. J. Schoelkopf · 2009
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Simple pulses for elimination of leakage in weakly nonlinear qubits
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High-threshold universal quantum computation on the surface code
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Daniel A. Lidar and Todd A. Brun · 2013
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Quantum simulation
IM Georgescu, S Ashhab, and Franco Nori · 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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Low-distance surface codes under realistic quantum noise
Yu Tomita and Krysta M. Svore · 2014
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Minimum weight perfect matching of fault-tolerant topological quantum error correction in average o ( 1 ) o(1) parallel time
Austin G. Fowler · 2015
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TensorFlow: Large-scale machine learning on heterogeneous systems, 2015
Martín Abadi, Ashish Agarwal, Paul Barham, Eugene Brevdo, Zhifeng Chen, Craig Citro, Greg S. Corrado, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Ian Goodfellow, Andrew Harp, Geoffrey Irving, Michael Isard, Yangqing Jia, Rafal Jozefowicz, Lukasz Kaiser, Manjunath Kudlur, Josh Levenberg, Dan Mané, Rajat Monga, Sherry Moore, Derek Murray, Chris Olah, Mike Schuster, Jonathon Shlens, Benoit Steiner, Ilya Sutskever, Kunal Talwar, Paul Tucker, Vincent Vanhoucke, Vijay Vasudevan, Fernanda Viégas, Oriol Vinyals, Pete Warden, Martin Wattenberg, Martin Wicke, Yuan Yu, and Xiaoqiang Zheng · 2015
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Blossom v: a new implementation of a minimum cost perfect matching algorithm
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Arbitrarily accurate dynamical control in open quantum systems
Khodjasteh Kaveh, Lidar Daniel A., and Viola Lorenza · 2010
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Experimental demonstration of the deutsch-jozsa algorithm in homonuclear multispin systems
Zhen Wu, Jun Li, Wenqiang Zheng, Jun Luo, Mang Feng, and Xinhua Peng · 2011
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Fault-tolerant quantum computing with color codes
Andrew J Landahl, Jonas T Anderson, and Patrick R Rice · 2011
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Xilinx redefines power, performance, and design productivity with three innovative 28 nm fpga families: Virtex-7, kintex-7, and artix-7 devices, 2012
Nick Mehta · 2012
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Universal topological phase of two-dimensional stabilizer codes
Hector Bombin, Guillaume Duclos-Cianci, and David Poulin · 2012
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Realization of a scalable shor algorithm
Thomas Monz, Daniel Nigg, Esteban A. Martinez, Matthias F. Brandl, Philipp Schindler, Richard Rines, Shannon X. Wang, Isaac L. Chuang, and Rainer Blatt · 2016
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Quantum algorithms @ONLINE, October 2016
Stephen Jordan · 2016
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Scalable quantum circuit and control for a superconducting surface code
R Versluis, S Poletto, N Khammassi, N Haider, DJ Michalak, A Bruno, K Bertels, and L DiCarlo · 2016
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A neural decoder for topological codes
Giacomo Torlai and Roger G Melko · 2016
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Fault-Tolerant Quantum Computing in the Pauli or Clifford Frame with Slow Error Diagnostics
C. Chamberland, P. Iyer, and D. Poulin · 2017
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Density-matrix simulation of small surface codes under current and projected experimental noise
TE O’Brien, B Tarasinski, and L DiCarlo · 2017
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