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Coherent noise can be much more damaging than incoherent (probabilistic) noise in the context of quantum error correction.
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 , STOC ’97 (ACM, New York, NY, USA, 1997) pp. 176–188
1997
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Emanuel Knill, Raymond Laflamme, and Wojciech H. Zurek, “Resilient Quantum Computation,” Science 279
1998
Earlier work this paper cites.
Lorenza Viola, Emanuel Knill, and Seth Lloyd, “Dynamical Decoupling of Open Quantum Systems,” Physical Review Letters 82
1999
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Paolo Zanardi, “Symmetrizing evolutions,” Physics Letters A 258
1999
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Benjamin Rahn, Andrew C. Doherty, and Hideo Mabuchi, “Exact performance of concatenated quantum codes,” Physical Review A 66
2002
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Panos Aliferis, Daniel Gottesman, and John Preskill, “Quantum Accuracy Threshold for Concatenated Distance-3 Codes,” Quantum Info. Comput. 6
2006
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J. Emerson, M. Silva, O. Moussa, C. Ryan, M. Laforest, J. Baugh, D. G. Cory, and R. Laflamme, “Symmetrized Characterization of Noisy Quantum Processes,” Science 317
2007
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Götz S. Uhrig, “Keeping a quantum bit alive by optimized π \pi -pulse sequences,” Physical Review Letters 98
2007
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E. Knill, D. Leibfried, R. Reichle, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Randomized benchmarking of quantum gates,” Physical Review A 77
2008
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Hui Khoon Ng, Daniel A. Lidar, and John Preskill, “Combining dynamical decoupling with fault-tolerant quantum computation,” Physical Review A 84
2011
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Michael R. Geller and Zhongyuan Zhou, “Efficient error models for fault-tolerant architectures and the Pauli twirling approximation,” Physical Review A 88
2013
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2014
Earlier work this paper cites.
E. M. Kessler, I. Lovchinsky, A. O. Sushkov, and M. D. Lukin, “Quantum Error Correction for Metrology,” Physical Review Letters 112
2014
Cited alongside, same era.
W. Dür, M. Skotiniotis, F. Fröwis, and B. Kraus, “Improved Quantum Metrology Using Quantum Error Correction,” Physical Review Letters 112
2014
Cited alongside, same era.
Shelby Kimmel, Marcus P. da Silva, Colm A. Ryan, Blake R. Johnson, and Thomas Ohki, “Robust Extraction of Tomographic Information via Randomized Benchmarking,” Physical Review X 4
2014
Cited alongside, same era.
Yuval R. Sanders, Joel J. Wallman, and Barry C. Sanders, “Bounding quantum gate error rate based on reported average fidelity,” New Journal of Physics 18
2015
Cited alongside, same era.
Mauricio Gutiérrez and Kenneth R. Brown, “Comparison of a quantum error-correction threshold for exact and approximate errors,” Physical Review A 91
Daniel Greenbaum and Zachary Dutton, “Modeling coherent errors in quantum error correction,” Quantum Science and Technology 3
2018
Later among the works it cites.
Pavithran Iyer and David Poulin, “A small quantum computer is needed to optimize fault-tolerant protocols,” Quantum Science and Technology 3
2018
Later among the works it cites.
Stefanie J. Beale, Joel J. Wallman, Mauricio Gutiérrez, Kenneth R. Brown, and Raymond Laflamme, “Quantum Error Correction Decoheres Noise,” Physical Review Letters 121
2018
Later among the works it cites.
Dripto M. Debroy, Muyuan Li, Michael Newman, and Kenneth R. Brown, “Stabilizer Slicing: Coherent Error Cancellations in Low-Density Parity-Check Stabilizer Codes,” Physical Review Letters 121
2018
Later among the works it cites.
Sisi Zhou, Mengzhen Zhang, John Preskill, and Liang Jiang, “Achieving the Heisenberg limit in quantum metrology using quantum error correction,” Nature Communications 9
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2015
Cited alongside, same era.
Daniel Greenbaum, “Introduction to Quantum Gate Set Tomography,” arXiv:1509.02921 [quant-ph] (2015)
2015
Cited alongside, same era.
Richard Kueng, David M. Long, Andrew C. Doherty, and Steven T. Flammia, “Comparing Experiments to the Fault-Tolerance Threshold,” Physical Review Letters 117
2016
Cited alongside, same era.
Dieter Suter and Gonzalo A. Álvarez, “Colloquium: Protecting quantum information against environmental noise,” Reviews of Modern Physics 88
2016
Cited alongside, same era.
Joel J. Wallman and Joseph Emerson, “Noise tailoring for scalable quantum computation via randomized compiling,” Physical Review A 94
2016
Cited alongside, same era.
Mauricio Gutiérrez, Conor Smith, Livia Lulushi, Smitha Janardan, and Kenneth R. Brown, “Errors and pseudothresholds for incoherent and coherent noise,” Physical Review A 94
2016
Cited alongside, same era.
Christopher Chamberland, Joel Wallman, Stefanie Beale, and Raymond Laflamme, “Hard decoding algorithm for optimizing thresholds under general Markovian noise,” Physical Review A 95
2017
Cited alongside, same era.
Sergey Bravyi, Matthias Englbrecht, Robert König, and Nolan Peard, “Correcting coherent errors with surface codes,” npj Quantum Information 4
2018
Cited alongside, same era.
2018
Later among the works it cites.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien, “Low-cost error mitigation by symmetry verification,” Physical Review A 98
2018
Later among the works it cites.
Eric Huang, Andrew C. Doherty, and Steven Flammia, “Performance of quantum error correction with coherent errors,” Physical Review A 99
2019
Closest in time.
Zhenyu Cai and Simon C. Benjamin, “Constructing Smaller Pauli Twirling Sets for Arbitrary Error Channels,” Scientific Reports 9
2019
Closest in time.
Sam McArdle, Xiao Yuan, and Simon Benjamin, “Error-Mitigated Digital Quantum Simulation,” Physical Review Letters 122
2019
Closest in time.
2019
Closest in time.