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Twirling noise affecting quantum gates is essential in understanding and controlling errors, but applicable operations to noise are usually restricted by symmetries inherent in quantum gates.
P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Physical review A 52
1995
Earlier work this paper cites.
E. Knill, R. Laflamme, and W. Zurek, Threshold accuracy for quantum computation, arXiv preprint quant-ph/9610011 (1996)
1996
Earlier work this paper cites.
D. Aharonov and M. Ben-Or, Fault-tolerant quantum computation with constant error, in Proceedings of the twenty-ninth annual ACM symposium on Theory of computing (1997) pp. 176–188
1997
Earlier work this paper cites.
D. Gottesman and I. L. Chuang, Quantum teleportation is a universal computational primitive, Nature 402
1999
Earlier work this paper cites.
J. Emerson, R. Alicki, and K. Życzkowski, Scalable noise estimation with random unitary operators, Journal of Optics B: Quantum and Semiclassical Optics 7
2005
Earlier work this paper cites.
S. Bravyi and A. Kitaev, Universal quantum computation with ideal clifford gates and noisy ancillas, Phys. Rev. A 71
2005
Earlier work this paper cites.
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love, and M. Head-Gordon, Simulated quantum computation of molecular energies, Science 309
2005
Earlier work this paper cites.
P. Hayden and J. Preskill, Black holes as mirrors: quantum information in random subsystems, Journal of high energy physics 2007
2007
Earlier work this paper cites.
C. Dankert, R. Cleve, J. Emerson, and E. Livine, Exact and approximate unitary 2-designs and their application to fidelity estimation, Physical Review A 80
2009
Earlier work this paper cites.
E. Magesan, J. M. Gambetta, and J. Emerson, Characterizing quantum gates via randomized benchmarking, Physical Review A 85
2012
Earlier work this paper cites.
D. A. Lidar and T. A. Brun, Quantum error correction (Cambridge university press, 2013)
2013
Earlier work this paper cites.
J. T. Anderson, G. Duclos-Cianci, and D. Poulin, Fault-tolerant conversion between the steane and reed-muller quantum codes, Physical review letters 113
2014
Earlier work this paper cites.
J. Wallman, C. Granade, R. Harper, and S. T. Flammia, Estimating the coherence of noise, New Journal of Physics 17
2015
Earlier work this paper cites.
N. Ofek, A. Petrenko, R. Heeres, P. Reinhold, Z. Leghtas, B. Vlastakis, Y. Liu, L. Frunzio, S. Girvin, L. Jiang, et al. , Extending the lifetime of a quantum bit with error correction in superconducting circuits, Nature 536
2016
Earlier work this paper cites.
N. J. Ross and P. Selinger, Optimal ancilla-free clifford+ t approximation of z-rotations, Quantum Information & Computation 16
2016
Earlier work this paper cites.
J. J. Wallman and J. Emerson, Noise tailoring for scalable quantum computation via randomized compiling, Physical Review A 94
2016
Earlier work this paper cites.
K. Temme, S. Bravyi, and J. M. Gambetta, Error mitigation for short-depth quantum circuits, Physical review letters 119
2017
Earlier work this paper cites.
Y. Li and S. C. Benjamin, Efficient variational quantum simulator incorporating active error minimization, Phys. Rev. X 7
2017
Earlier work this paper cites.
C.-Y. Lai, Y.-C. Zheng, and T. A. Brun, Fault-tolerant preparation of stabilizer states for quantum calderbank-shor-steane codes by classical error-correcting codes, Physical Review A 95
2017
Earlier work this paper cites.
M. B. Hastings, Turning gate synthesis errors into incoherent errors, Quantum Information & Computation 17
2017
Earlier work this paper cites.
E. Campbell, Shorter gate sequences for quantum computing by mixing unitaries, Phys. Rev. A 95
2017
Earlier work this paper cites.
S. Endo, S. C. Benjamin, and Y. Li, Practical quantum error mitigation for near-future applications, Physical Review X 8
2018
Earlier work this paper cites.
A. M. Childs, D. Maslov, Y. Nam, N. J. Ross, and Y. Su, Toward the first quantum simulation with quantum speedup, Proceedings of the National Academy of Sciences 115
2018
Cited alongside, same era.
2018
Cited alongside, same era.
2018
Cited alongside, same era.
E. Van Den Berg, Z. K. Minev, A. Kandala, and K. Temme, Probabilistic error cancellation with sparse pauli–lindblad models on noisy quantum processors, Nature Physics , 1 (2023)
2023
Later among the works it cites.
K. Tsubouchi, T. Sagawa, and N. Yoshioka, Universal cost bound of quantum error mitigation based on quantum estimation theory, Physical Review Letters 131
2023
Later among the works it cites.
Y. Mitsuhashi and N. Yoshioka, Clifford group and unitary designs under symmetry, PRX Quantum 4
2023
Later among the works it cites.
R. Takagi, H. Tajima, and M. Gu, Universal sampling lower bounds for quantum error mitigation, Physical Review Letters 131
2023
Later among the works it cites.
J. Foldager and B. Koczor, Can shallow quantum circuits scramble local noise into global white noise?, Journal of Physics A: Mathematical and Theoretical 57
2023
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2019
Cited alongside, same era.
D. Litinski, A game of surface codes: Large-scale quantum computing with lattice surgery, Quantum 3
2019
Cited alongside, same era.
T. E. O’Brien, B. Tarasinski, and B. M. Terhal, Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments, New Journal of Physics 21
2019
Cited alongside, same era.
A. Carignan-Dugas, J. J. Wallman, and J. Emerson, Bounding the average gate fidelity of composite channels using the unitarity, New Journal of Physics 21
2019
Cited alongside, same era.
I. D. Kivlichan, C. Gidney, D. W. Berry, N. Wiebe, J. McClean, W. Sun, Z. Jiang, N. Rubin, A. Fowler, A. Aspuru-Guzik, et al. , Improved fault-tolerant quantum simulation of condensed-phase correlated electrons via trotterization, Quantum 4
2020
Cited alongside, same era.
H.-Y. Huang, R. Kueng, and J. Preskill, Predicting many properties of a quantum system from very few measurements, Nature Physics 16
2020
Cited alongside, same era.
S. Endo, Z. Cai, S. C. Benjamin, and X. Yuan, Hybrid quantum-classical algorithms and quantum error mitigation, Journal of the Physical Society of Japan 90
2021
Cited alongside, same era.
C. Piveteau, D. Sutter, S. Bravyi, J. M. Gambetta, and K. Temme, Error mitigation for universal gates on encoded qubits, Physical review letters 127
2021
Cited alongside, same era.
M. Lostaglio and A. Ciani, Error mitigation and quantum-assisted simulation in the error corrected regime, Physical review letters 127
2021
Cited alongside, same era.
Later among the works it cites.
D. Bluvstein, S. J. Evered, A. A. Geim, S. H. Li, H. Zhou, T. Manovitz, S. Ebadi, M. Cain, M. Kalinowski, D. Hangleiter, et al. , Logical quantum processor based on reconfigurable atom arrays, Nature 626
2024
Closest in time.
A. M. Dalzell, N. Hunter-Jones, and F. G. Brandão, Random quantum circuits transform local noise into global white noise, Communications in Mathematical Physics 405
2024
Closest in time.
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2024
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2024
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A. Katabarwa, K. Gratsea, A. Caesura, and P. D. Johnson, Early fault-tolerant quantum computing, PRX Quantum 5
2024
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2024
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2024
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2024
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2024
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2024
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Google Quantum AI and Collaborators, Quantum error correction below the surface code threshold, Nature 638
2025
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2025
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2025
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N. Delfosse and E. Tham, Low-cost noise reduction for clifford circuits, Physical Review Letters 134
2025
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Z. Ding, Y. Dong, Y. Tong, and L. Lin, Robust ground-state energy estimation under depolarizing noise, Physical Review Research 7
2025
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