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A critical milestone for quantum computers is to demonstrate fault-tolerant computation that outperforms computation on physical qubits.
Fault-tolerant quantum computation with constant error rate
D. Aharonov and M. Ben-Or · 1997
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Theory of fault-tolerant quantum computation
D. Gottesman · 1998
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Resilient quantum computation
E. Knill, R. Laflamme, and W. H. Zurek · 1998
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A one-way quantum computer
R. Raussendorf and H. J. Briegel · 2001
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t | | ket ⟩ \rangle : a retargetable compiler for NISQ devices
S. Sivarajah, S. Dilkes, A. Cowtan, et al · 2003
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Quantum accuracy threshold for concatenated distance-3 codes
P. Aliferis, D. Gottesman, and J. Preskill · 2006
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Operator quantum error correcting subsystems for self-correcting quantum memories
D. Bacon · 2006
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Entanglement in graph states and its applications
M. Hein, W. Dür, J. Eisert, et al · 2006
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Short Shor-style syndrome sequences
N. Delfosse and B. W. Reichardt · 2008
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Optimal preparation of graph states
A. Cabello, L. E. Danielsen, A. J. Lopez-Tarrida, and J. R. Portillo · 2011
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The smallest interesting colour code
E. T. Campbell · 2016
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B. W. Reichardt · 2020
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Realization of real-time fault-tolerant quantum error correction
C. Ryan-Anderson, J. G. Bohnet, K. Lee, et al · 2021
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Realizing repeated quantum error correction in a distance-three surface code
S. Krinner, N. Lacroix, A. Remm, et al · 2022
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Demonstration of fault-tolerant universal quantum gate operations
L. Postler, S. Heußen, I. Pogorelov, et al · 2022
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Implementing fault-tolerant entangling gates on the five-qubit code and the color code
C. Ryan-Anderson, N. C. Brown, M. S. Allman, et al · 2022
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Suppressing quantum errors by scaling a surface code logical qubit
Encoding a magic state with beyond break-even fidelity
R. S. Gupta, N. Sundaresan, T. Alexander, et al · 2024
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Entangling four logical qubits beyond break-even in a nonlocal code
Y. Hong, E. Durso-Sabina, D. Hayes, and A. Lucas · 2024
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Largest genuine entanglement: Qubits in GHZ state
M. Krenn · 2024
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K. Mayer, C. Ryan-Anderson, N. Brown, et al · 2024
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Implementing fault-tolerant non-Clifford gates using the [[8,3,2]] color code
D. H. Menendez, A. Ray, and M. Vasmer · 2024
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Fault-tolerant syndrome extraction and cat state preparation with fewer qubits
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Quantum error correction below the surface code threshold
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Demonstration of fault-tolerant Steane quantum error correction
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Distance-four quantum codes with combined postselection and error correction
P. Prabhu and B. W. Reichardt · 2024
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System Model H1
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Protecting expressive circuits with a quantum error detection code
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Demonstration of logical qubits and repeated error correction with better-than-physical error rates
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Fault-tolerant one-bit addition with the smallest interesting colour code
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Demonstrating Bayesian quantum phase estimation with quantum error detection
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