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Quantum error correction (QEC) is believed to be essential for the realization of large-scale quantum computers.
Irreversibility and Heat Generation in the Computing Process
Landauer, R · 1961
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On the Einstein Podolsky Rosen paradox
Bell, J. S · 1964
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The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
Benioff, P · 1980
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Cross polarization in laser beams
Mukunda, N., Sudarshan, E. C. G. & Simon, R · 1987
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Laser cooling below the Doppler limit by polarization gradients: simple theoretical models
Dalibard, J. & Cohen-Tannoudji, C · 1989
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Quantum Zeno effect
Itano, W. M., Heinzen, D. J., Bollinger, J. J. & Wineland, D. J · 1990
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Sigma-plus–Sigma-minus Optical molasses in a longitudinal magnetic field
Rolston, S. L., Phillips, W. D., Walhout, M. & Dalibard, J · 1992
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Sigma-plus–Sigma-minus Optical molasses in a longitudinal magnetic field
Walhout, M., Dalibard, J., Rolston, S. L. & Phillips, W. D · 1992
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Is quantum mechanics useful?
Landauer, R · 1995
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Scheme for reducing decoherence in quantum computer memory
Shor, P. W · 1995
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Fault-tolerant quantum computation
Shor, P. W · 1996
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Multiple-particle interference and quantum error correction
Steane, A · 1996
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Good quantum error-correcting codes exist
Calderbank, A. R. & Shor, P. W · 1996
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Quantum computations: Algorithms and error correction
Kitaev, A. Y · 1997
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Active stabilization, quantum computation, and quantum state synthesis
Steane, A. M · 1997
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Fault-tolerant quantum computation with constant error rate (1999)
Aharonov, D. & Ben-Or, M · 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 One-Way Quantum Computer
Raussendorf, R. & Briegel, H. J · 2001
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Topological quantum memory
Dennis, E., Kitaev, A., Landahl, A. & Preskill, J · 2002
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Topological quantum memory
Dennis, E., Kitaev, A., Landahl, A. & Preskill, J · 2002
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Coherent Transport of Neutral Atoms in Spin-Dependent Optical Lattice Potentials
Mandel, O. et al · 2003
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Tackling systematic errors in quantum logic gates with composite rotations
Cummins, H. K., Llewellyn, G. & Jones, J. A · 2003
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Improved simulation of stabilizer circuits
Aaronson, S. & Gottesman, D · 2004
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Another way to approach zero entropy for a finite system of atoms
Weiss, D. S. et al · 2004
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The Solovay-Kitaev algorithm
Dawson, C. M. & Nielsen, M. A · 2005
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Quantum computing with realistically noisy devices
Knill, E · 2005
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Unified and Generalized Approach to Quantum Error Correction
Kribs, D., Laflamme, R. & Poulin, D · 2005
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Universal quantum computation with ideal Clifford gates and noisy ancillas
Bravyi, S. & Kitaev, A · 2005
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Contextuality for preparations, transformations, and unsharp measurements
Spekkens, R. W · 2005
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Two-dimensional transport and transfer of a single atomic qubit in optical tweezers
Beugnon, J. et al · 2007
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Energy distribution and cooling of a single atom in an optical tweezer
Tuchendler, C., Lance, A. M., Browaeys, A., Sortais, Y. R. & Grangier, P · 2008
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Thresholds for topological codes in the presence of loss
Stace, T. M., Barrett, S. D. & Doherty, A. C · 2009
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Restrictions on transversal encoded quantum gate sets
Eastin, B. & Knill, E · 2009
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Measurement-based quantum computation
Briegel, H. J., Browne, D. E., Dür, W., Raussendorf, R. & Van Den Nest, M · 2009
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Fault tolerant quantum computation with very high threshold for loss errors
Barrett, S. D. & Stace, T. M · 2010
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Scalable architecture for quantum information processing with atoms in optical micro-structures
Schlosser, M., Tichelmann, S., Kruse, J. & Birkl, G · 2011
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Surface code quantum computing by lattice surgery
Horsman, C., Fowler, A. G., Devitt, S. & Meter, R. V · 2012
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Key ideas in quantum error correction
Raussendorf, R · 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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Magic-state distillation in all prime dimensions using quantum reed-muller codes
Campbell, E. T., Anwar, H. & Browne, D. E · 2012
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Λ \Lambda -enhanced sub-Doppler cooling of lithium atoms in D1 gray molasses
Grier, A. T. et al · 2013
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Contextuality supplies the ’magic’ for quantum computation
Howard, M., Wallman, J., Veitch, V. & Emerson, J · 2014
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Efficient Markov chain Monte Carlo algorithm for the surface code
Hutter, A., Wootton, J. R. & Loss, D · 2014
Cited alongside, same era.
Fault-Tolerant Conversion between the Steane and Reed-Muller Quantum Codes
Anderson, J. T., Duclos-Cianci, G. & Poulin, D · 2014
Cited alongside, same era.
Single-Shot Fault-Tolerant Quantum Error Correction
Bombín, H · 2015
Cited alongside, same era.
Unfolding the color code
Kubica, A., Yoshida, B. & Pastawski, F · 2015
Cited alongside, same era.
An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays
Barredo, D., De Léséleuc, S., Lienhard, V., Lahaye, T. & Browaeys, A · 2016
Cited alongside, same era.
Atomic “bomb testing”: the Elitzur–Vaidman experiment violates the Leggett–Garg inequality
Robens, C., Alt, W., Emary, C., Meschede, D. & Alberti, A · 2017
Scalable Measures of Magic Resource for Quantum Computers
Haug, T. & Kim, M. S · 2023
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Quantum error correction below the surface code threshold
Acharya, R. et al · 2024
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Logical quantum processor based on reconfigurable atom arrays
Bluvstein, D. et al · 2024
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Demonstration of quantum computation and error correction with a tesseract code (2024)
Reichardt, B. W. et al · 2024
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Logical computation demonstrated with a neutral atom quantum processor (2024)
Reichardt, B. W. et al · 2024
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Experimental Demonstration of Logical Magic State Distillation (2024)
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Cited alongside, same era.
ARC: An open-source library for calculating properties of alkali Rydberg atoms
Šibalić, N., Pritchard, J. D., Adams, C. S. & Weatherill, K. J · 2017
Cited alongside, same era.
Deep Neural Network Probabilistic Decoder for Stabilizer Codes
Krastanov, S. & Jiang, L · 2017
Cited alongside, same era.
Application of a Resource Theory for Magic States to Fault-Tolerant Quantum Computing
Howard, M. & Campbell, E · 2017
Cited alongside, same era.
Quantum Computing in the NISQ era and beyond
Preskill, J · 2018
Cited alongside, same era.
Correcting coherent errors with surface codes
Bravyi, S., Englbrecht, M., König, R. & Peard, N · 2018
Cited alongside, same era.
Machine-learning-assisted correction of correlated qubit errors in a topological code
Baireuther, P., O’Brien, T. E., Tarasinski, B. & Beenakker, C. W · 2018
Cited alongside, same era.
Sales Rodriguez, P. 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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Magic state cultivation: growing T states as cheap as CNOT gates (2024)
Gidney, C., Shutty, N. & Jones, C · 2024
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Learning high-accuracy error decoding for quantum processors
Bausch, J. et al · 2024
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Correlated decoding of logical algorithms with transversal gates
Cain, M. et al · 2024
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Algorithmic Fault Tolerance for Fast Quantum Computing (2024)
Zhou, H. et al · 2024
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Fano resonance in excitation spectroscopy and cooling of an optically trapped single atom
Chow, C. H., Ng, B. L., Prakash, V. & Kurtsiefer, C · 2024
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Site-selective cavity readout and classical error correction of a 5-bit atomic register (2024)
Hu, B. et al · 2024
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Continuous operation of large-scale atom arrays in optical lattices
Gyger, F. et al · 2024
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Iterative Assembly of 171 Yb Atom Arrays with Cavity-Enhanced Optical Lattices
Norcia, M. A. et al · 2024
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A tweezer array with 6100 highly coherent atomic qubits (2024)
Manetsch, H. J. et al · 2024
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Autoionization-enhanced Rydberg dressing by fast contaminant removal
Cao, A., Yelin, T. L., Eckner, W. J., Oppong, N. D. & Kaufman, A. M · 2024
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Surface Code with Imperfect Erasure Checks (2024)
Chang, K. et al · 2024
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Fault-Tolerant Postselection for Low-Overhead Magic State Preparation
Bombín, H., Pant, M., Roberts, S. & Seetharam, K. I · 2024
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Mitigating errors in logical qubits
Smith, S. C., Brown, B. J. & Bartlett, S. D · 2024
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Circuit-Based Leakage-to-Erasure Conversion in a Neutral-Atom Quantum Processor
Chow, M. N. 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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Computation with quantum Reed-Muller codes and their mapping onto 2D atom arrays (2024)
Gong, A. & Renes, J. M · 2024
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Leveraging Atom Loss Errors in Fault Tolerant Quantum Algorithms (2025)
Baranes, G. et al · 2025
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Fast correlated decoding of transversal logical algorithms (2025)
Cain, M. et al · 2025
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Hardware-efficient quantum error correction using concatenated bosonic qubits
Putterman, H. et al · 2025
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Surface code data and analysis (2025)
Bluvstein, D. & Geim, A. A · 2025
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Neural decoders for universal quantum algorithms
Bonilla Ataides, J. P., Gu, A., et al · 2025
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Continuous operation of a coherent 3,000-qubit system (2025)
Chiu, N.-C., et al · 2025
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Benchmarking and Fidelity Response Theory of High-Fidelity Rydberg Entangling Gates
Tsai, R. B. S., Sun, X., Shaw, A. L., Finkelstein, R. & Endres, M · 2025
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Repeated ancilla reuse for logical computation on a neutral atom quantum computer (2025)
Muniz, J. A. et al · 2025
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Leveraging erasure errors in logical qubits with metastable $ˆ{171}$Yb atoms (2025)
Zhang, B. et al · 2025
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Probing topological matter and fermion dynamics on a neutral-atom quantum computer (2025)
Evered, S. J. et al · 2025
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Yoked surface codes
Gidney, C., Newman, M., Brooks, P. & Jones, C · 2025
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Locating Rydberg Decay Error in SWAP-LRU (2025)
Yu, C.-C., Deng, Y.-H., Chen, M.-C., Lu, C.-Y. & Pan, J.-W · 2025
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Decoding across transversal Clifford gates in the surface code (2025)
Serra-Peralta, M., Shaw, M. H. & Terhal, B. M · 2025
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Scalable decoding protocols for fast transversal logic in the surface code (2025)
Turner, M. L., Campbell, E. T., Crawford, O., Gillespie, N. I. & Camps, J · 2025
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Long-range nonstabilizerness and phases of matter (2025)
Korbany, D. A., Gullans, M. J. & Piroli, L · 2025
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Long-range nonstabilizerness from quantum codes, orders, and correlations (2025)
Wei, F. & Liu, Z.-W · 2025
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Quantum coarsening and collective dynamics on a programmable quantum simulator
Manovitz, T. et al · 2025
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Sparse Blossom: correcting a million errors per core second with minimum-weight matching
Higgott, O. & Gidney, C · 2025
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