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Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed exponentially as more qubits are added.
Scheme for reducing decoherence in quantum computer memory
Shor, P. W · 1995
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Universal quantum simulators
Lloyd, S · 1996
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Stabilizer codes and quantum error correction (California Institute of Technology, 1997)
Gottesman, D · 1997
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Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
Shor, P. W · 1999
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Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
Gottesman, D. & Chuang, I. L · 1999
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A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem
Farhi, E. et al · 2001
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Topological quantum memory
Dennis, E., Kitaev, A. Y., Landahl, A. & Preskill, J · 2002
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A simple formula for the average gate fidelity of a quantum dynamical operation
Nielsen, M. A · 2002
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Fault-tolerant quantum computation by anyons
Kitaev, A. Y · 2003
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Simulated quantum computation of molecular energies
Aspuru-Guzik, A., Dutoi, A. D., Love, P. J. & Head-Gordon, M · 2005
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Fault-tolerant quantum computation for local non-Markovian noise
Terhal, B. M. & Burkard, G · 2005
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Charge-insensitive qubit design derived from the Cooper pair box
Koch, J. et al · 2007
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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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Optimal complexity correction of correlated errors in the surface code
Fowler, A. G · 2013
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Optimal complexity correction of correlated errors in the surface code
Fowler, A. G · 2013
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Learning phrase representations using RNN encoder–decoder for statistical machine translation
Cho, K. et al · 2014
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Fault-tolerant thresholds for quantum error correction with the surface code
Stephens, A. M · 2014
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Quantum error correction for quantum memories
Terhal, B. M · 2015
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Quantum error correction for quantum memories
Terhal, B. M · 2015
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Extending the lifetime of a quantum bit with error correction in superconducting circuits
Ofek, N. et al · 2016
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Extending the lifetime of a quantum bit with error correction in superconducting circuits
Ofek, N. et al · 2016
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Surface code error correction on a defective lattice
Nagayama, S., Fowler, A. G., Horsman, D., Devitt, S. J. & Meter, R. V · 2017
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Fluctuations of energy-relaxation times in superconducting qubits
Klimov, P. et al · 2018
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Correcting coherent errors with surface codes
Bravyi, S., Englbrecht, M., König, R. & Peard, N · 2018
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Quantum supremacy using a programmable superconducting processor
Arute, F. et al · 2019
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Flexible layout of surface code computations using AutoCCZ states
Gidney, C. & Fowler, A. G · 2019
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Improved fault-tolerant quantum simulation of condensed-phase correlated electrons via Trotterization
Kivlichan, I. D. et al · 2020
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Leakage detection for a transmon-based surface code
Varbanov, B. M. et al · 2020
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The Snake optimizer for learning quantum processor control parameters
Klimov, P. V., Kelly, J., Martinis, J. M. & Neven, H · 2020
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Decoding across the quantum low-density parity-check code landscape
Roffe, J., White, D. R., Burton, S. & Campbell, E · 2020
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Stabilization and operation of a Kerr-cat qubit
Grimm, A. et al · 2020
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Early fault-tolerant simulations of the Hubbard model
Campbell, E. T · 2021
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Realization of real-time fault-tolerant quantum error correction
Ryan-Anderson, C. et al · 2021
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How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
Gidney, C. & Ekerå, M · 2021
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The XZZX
Bonilla Ataides, J. P., Tuckett, D. K., Bartlett, S. D., Flammia, S. T. & Brown, B. J · 2021
Cited alongside, same era.
Exponential suppression of bit or phase flip errors with repetitive error correction
Chen, Z. et al · 2021
Cited alongside, same era.
A fault-tolerant honeycomb memory
Gidney, C., Newman, M., Fowler, A. & Broughton, M · 2021
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Stim: a fast stabilizer circuit simulator
Gidney, C · 2021
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How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubits
Gidney, C. & Eker a ̊ \mathring{\text{a}} , M · 2021
Cited alongside, same era.
Exponential suppression of bit or phase errors with cyclic error correction
Chen, Z. et al · 2021
Cited alongside, same era.
Improved decoding of circuit noise and fragile boundaries of tailored surface codes
Higgott, O., Bohdanowicz, T. C., Kubica, A., Flammia, S. T. & Campbell, E. T · 2023
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Sparse Blossom: correcting a million errors per core second with minimum-weight matching
Higgott, O. & Gidney, C · 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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Fusion Blossom: Fast MWPM decoders for QEC
Wu, Y. & Zhong, L · 2023
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Overcoming leakage in quantum error correction
Miao, K. C. et al · 2023
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Real-time quantum error correction beyond break-even
Sivak, V. et al · 2023
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Realizing repeated quantum error correction in a distance-three surface code
Krinner, S. et al · 2022
Cited alongside, same era.
Litinski, D. & Nickerson, N · 2022
Cited alongside, same era.
Universal quantum computing with twist-free and temporally encoded lattice surgery
Chamberland, C. & Campbell, E. T · 2022
Cited alongside, same era.
Stability experiments: the overlooked dual of memory experiments
Gidney, C · 2022
Cited alongside, same era.
PyMatching: A python package for decoding quantum codes with minimum-weight perfect matching
Higgott, O · 2022
Cited alongside, same era.
Resolving catastrophic error bursts from cosmic rays in large arrays of superconducting qubits
McEwen, M. et al · 2022
Cited alongside, same era.
Later among the works it cites.
Gidney, C., Newman, M., Brooks, P. & Jones, C · 2023
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Beating the break-even point with a discrete-variable-encoded logical qubit
Ni, Z. et al · 2023
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The computational power of random quantum circuits in arbitrary geometries
DeCross, M. et al · 2024
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Logical quantum processor based on reconfigurable atom arrays
Bluvstein, D. 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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Demonstration of logical qubits and repeated error correction with better-than-physical error rates
Da Silva, M. et al · 2024
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Efficient near-optimal decoding of the surface code through ensembling
Shutty, N., Newman, M. & Villalonga, B · 2024
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Improved accuracy for decoding surface codes with matching synthesis
Jones, C · 2024
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Optimization of decoder priors for accurate quantum error correction
Sivak, V., Newman, M. & Klimov, P · 2024
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Using detector likelihood for benchmarking quantum error correction
Hesner, I., Hetényi, B. & Wootton, J. R · 2024
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Optimizing quantum gates towards the scale of logical qubits
Klimov, P. V. et al · 2024
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Resisting high-energy impact events through gap engineering in superconducting qubit arrays
McEwen, M. et al · 2024
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High-threshold and low-overhead fault-tolerant quantum memory
Bravyi, S. et al · 2024
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Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays
Xu, Q. et al · 2024
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Inplace access to the surface code Y
Gidney, C · 2024
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Correlated decoding of logical algorithms with transversal gates
Cain, M. et al · 2024
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FPGA-based distributed union-find decoder for surface codes
Liyanage, N., Wu, Y., Tagare, S. & Zhong, L · 2024
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Spatially parallel decoding for multi-qubit lattice surgery
Lin, S. F., Peterson, E. C., Sankar, K. & Sivarajah, P · 2024
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Model-based optimization of superconducting qubit readout
Bengtsson, A. et al · 2024
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Optimizing quantum gates towards the scale of logical qubits
Klimov, P. V. et al · 2024
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Improved accuracy for decoding surface codes with matching synthesis
Jones, C · 2024
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Efficient near-optimal decoding of the surface code through ensembling
Shutty, N., Newman, M. & Villalonga, B · 2024
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URL https://doi.org/10.5281/zenodo.13273331
Google Quantum AI (2024) · 2024
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Optimization of decoder priors for accurate quantum error correction
Sivak, V., Newman, M. & Klimov, P · 2024
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Cirq (2024)
Cirq Developers · 2024
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Quantum control of a cat qubit with bit-flip times exceeding ten seconds
Réglade, U. et al · 2024
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Inplace access to the surface code Y
Gidney, C · 2024
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