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We show how to perform a fault-tolerant universal quantum computation in 2D architectures using only transversal unitary operators and local syndrome measurements.
Good quantum error-correcting codes exist
A. R. Calderbank and P. W. Shor · 1996
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Multiple particle interference and quantum error correction
A.M. Steane · 1996
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Topological quantum memory
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
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Confinement-Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory
C. Wang, J. Harrington, and J. Preskill · 2003
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Fault-tolerant quantum computation by anyons
A. Kitaev · 2003
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Topological quantum distillation
H. Bombin and M. A. Martin-Delgado · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
R. Raussendorf and J. Harrington · 2007
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Randomized benchmarking of quantum gates
E. Knill, D. Leibfried, R. Reichle, J. Britton, R.B. Blakestad, J.D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D.J. Wineland · 2008
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The complexity of quantum spin systems on a two-dimensional square lattice
R. Oliveira and B. Terhal · 2008
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High-threshold universal quantum computation on the surface code
A. Fowler, A. Stephens, and P. Groszkowski · 2009
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Restrictions on transversal encoded quantum gate sets
B. Eastin and E. Knill · 2009
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Randomized benchmarking and process tomography for gate errors in a solid-state qubit
J. Chow, J. Gambetta, L. Tornberg, J. Koch, L. Bishop, A. Houck, B.R. Johnson, L. Frunzio, S. Girvin, and R. Schoelkopf · 2009
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K. Betsumiya and A. Munemasa · 2010
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Magic-state distillation with low overhead
S. Bravyi and J. Haah · 2012
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Logic synthesis for fault-tolerant quantum computers
C. Jones · 2013
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Surface code implementation of block code state distillation
Protected gates for topological quantum field theories
M. Beverland, R. König, F. Pastawski, J. Preskill, and S. Sijher · 2014
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Fault-tolerant conversion between the Steane and Reed-Muller quantum codes
J. Anderson, G. Duclos-Cianci, and D. Poulin · 2014
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Quantum computing by color-code lattice surgery
A. Landahl and C. Ryan-Anderson · 2014
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State preservation by repetitive error detection in a superconducting quantum circuit
J. Kelly, R. Barends, A. Fowler, A. Megrant, E. Jeffrey, T.C. White, D. Sank, J. Mutus, B. Campbell, Y. Chen, et al · 2015
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Demonstration of a quantum error detection code using a square lattice of four superconducting qubits
A. Córcoles, E. Magesan, S. Srinivasan, A. Cross, M. Steffen, J. Gambetta, and J. Chow · 2015
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A. Fowler, S. Devitt, and C. Jones · 2013
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Classification of topologically protected gates for local stabilizer codes
S. Bravyi and R. König · 2013
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Universal fault-tolerant quantum computation with only transversal gates and error correction
A. Paetznick and B. Reichardt · 2013
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Fast and efficient exact synthesis of single-qubit unitaries generated by Clifford and T gates
V. Kliuchnikov, D. Maslov, and M. Mosca · 2013
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Superconducting quantum circuits at the surface code threshold for fault tolerance
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Fault-tolerant logical gates in quantum error-correcting codes
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Fault-tolerant error correction with the gauge color code
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Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codes
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Universal transversal gates with color codes: a simplified approach
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Efficient Clifford+T approximation of single-qubit operators
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