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The surface code family is a promising approach to implementing fault-tolerant quantum computations.
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Shor, P. W · 1995
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Good quantum error-correcting codes exist
Calderbank, A. R. & Shor, P. W · 1996
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Multiple Particle Interference and Quantum Error Correction
Steane, A · 1996
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Stabilizer Codes and Quantum Error Correction (1997)
Gottesman, D · 1997
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Bravyi, S. B. & Kitaev, A. Y · 1998
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Dennis, E., Kitaev, A., Landahl, A. & Preskill, J · 2002
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Fault-tolerant quantum computation by anyons
Kitaev, A · 2003
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Quantum Universality from Magic States Distillation Applied to CSS Codes
Reichardt, B. W · 2005
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Universal quantum computation with ideal Clifford gates and noisy ancillas
Bravyi, S. & Kitaev, A · 2005
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Entangling logical qubits with lattice surgery
Erhard, A. et al · 2006
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Restrictions on Transversal Encoded Quantum Gate Sets
Eastin, B. & Knill, E · 2009
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Threshold error rates for the toric and surface codes (2009)
Wang, D. S., Fowler, A. G., Stephens, A. M. & Hollenberg, L. C. L · 2009
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Towards Practical Classical Processing for the Surface Code
Fowler, A. G., Whiteside, A. C. & Hollenberg, L. C. L · 2012
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Surface code quantum computing by lattice surgery
Horsman, D., Fowler, A. G., Devitt, S. & Meter, R. V · 2012
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Surface codes: Towards practical large-scale quantum computation
Fowler, A. G., Mariantoni, M., Martinis, J. M. & Cleland, A. N · 2012
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Quantum error correction for quantum memories
Terhal, B. M · 2015
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A magic state’s fidelity can be superior to the operations that created it
Li, Y · 2015
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Quantum state tomography of a single qubit: comparison of methods
Schmied, R · 2016
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A Game of Surface Codes: Large-Scale Quantum Computing with Lattice Surgery
Litinski, D · 2019
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Topological and Subsystem Codes on Low-Degree Graphs with Flag Qubits
Chamberland, C., Zhu, G., Yoder, T. J., Hertzberg, J. B. & Cross, A. W · 2020
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Fault-tolerant control of an error-corrected qubit
Egan, L. et al · 2021
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Logical Magic State Preparation with Fidelity beyond the Distillation Threshold on a Superconducting Quantum Processor
Ye, Y. et al · 2023
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Relaxing Hardware Requirements for Surface Code Circuits using Time-dynamics
McEwen, M., Bacon, D. & Gidney, C · 2023
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Design of quantum error correcting code for biased error on heavy-hexagon structure
Kim, Y., Kang, J. & Kwon, Y · 2023
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Sparse Blossom: correcting a million errors per core second with minimum-weight matching (2023)
Higgott, O. & Gidney, C · 2023
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Demonstrating multi-round subsystem quantum error correction using matching and maximum likelihood decoders
Sundaresan, N. et al · 2023
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Gidney, C · 2021
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Exponential suppression of bit or phase errors with cyclic error correction
Google Quantum AI et al · 2021
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Qiskit: An open-source framework for quantum computing (2021)
IBM Quantum, and Community · 2021
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Exponential suppression of bit or phase errors with cyclic error correction
Google Quantum AI et al · 2021
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A Fault-Tolerant Honeycomb Memory
Gidney, C., Newman, M., Fowler, A. & Broughton, M · 2021
Cited alongside, same era.
Realization of an Error-Correcting Surface Code with Superconducting Qubits
Zhao, Y. et al · 2022
Cited alongside, same era.
Realizing repeated quantum error correction in a distance-three surface code
Krinner, S. et al · 2022
Cited alongside, same era.
Quantum error correction below the surface code threshold (2024)
Acharya, R. et al · 2024
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Experiments with the 4D Surface Code on a QCCD Quantum Computer (2024)
Berthusen, N. et al · 2024
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Logical quantum processor based on reconfigurable atom arrays
Bluvstein, D. et al · 2024
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Transversal CNOT gate with multi-cycle error correction (2024)
Kim, Y., Sevior, M. & Usman, M · 2024
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Creating entangled logical qubits in the heavy-hex lattice with topological codes (2024)
Hetényi, B. & Wootton, J. R · 2024
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Paetznick, A. et al · 2024
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Ryan-Anderson, C. et al · 2024
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Encoding a magic state with beyond break-even fidelity
Gupta, R. S. et al · 2024
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Comparative study of quantum error correction strategies for the heavy-hexagonal lattice (2024)
Benito, C., López, E., Peropadre, B. & Bermudez, A · 2024
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Accommodating Fabrication Defects on Floquet Codes with Minimal Hardware Requirements (2024)
McLauchlan, C., Gehér, G. P. & Moylett, A. E · 2024
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Comparative study of quantum error correction strategies for the heavy-hexagonal lattice (2024)
Benito, C., López, E., Peropadre, B. & Bermudez, A · 2024
Closest in time.
Quantum error correction below the surface code threshold (2024)
Acharya, R. et al · 2024
Closest in time.