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Quantum error mitigation is a key concept for the development of practical applications based on current noisy intermediate scale quantum (NISQ) devices.
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Good quantum error-correcting codes exist
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A.Yu. Kitaev · 2003
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The Theory of Open Quantum Systems
Heinz-Peter Breuer and Francesco Petruccione · 2006
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Stoer/Bulirsch: Numerische Mathematik 1
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Mitiq: A software package for error mitigation on noisy quantum computers, September 2020
Ryan LaRose, Andrea Mari, Sarah Kaiser, Peter J. Karalekas, Andre A. Alves, Piotr Czarnik, Mohamed El Mandouh, Max H. Gordon, Yousef Hindy, Aaron Robertson, Purva Thakre, Nathan Shammah, and William J. Zeng · 2009
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Virtual distillation for quantum error mitigation, November 2021
William J. Huggins, Sam McArdle, Thomas E. O’Brien, Joonho Lee, Nicholas C. Rubin, Sergio Boixo, K. Birgitta Whaley, Ryan Babbush, and Jarrod R. McClean · 2011
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Surface codes: Towards practical large-scale quantum computation
Austin G. Fowler, Matteo Mariantoni, John M. Martinis, and Andrew N. Cleland · 2012
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Requirements for fault-tolerant factoring on an atom-optics quantum computer
Simon J. Devitt, Ashley M. Stephens, William J. Munro, and Kae Nemoto · 2013
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Quantum error correction for quantum memories
Error-mitigated digital quantum simulation
Sam McArdle, Xiao Yuan, and Simon Benjamin · 2019
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Polynomial interpolation via mapped bases without resampling
S. De Marchi, F. Marchetti, E. Perracchione, and E. Poggiali · 2019
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Decoding quantum errors with subspace expansions
Jarrod R. McClean, Zhang Jiang, Nicholas C. Rubin, Ryan Babbush, and Hartmut Neven · 2020
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Digital zero noise extrapolation for quantum error mitigation
Tudor Giurgica-Tiron, Yousef Hindy, Ryan LaRose, Andrea Mari, and William J. Zeng · 2020
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Demonstration of non-markovian process characterisation and control on a quantum processor
G. A. L. White, C. D. Hill, F. A. Pollock, L. C. L. Hollenberg, and K. Modi · 2020
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Zero-noise extrapolation for quantum-gate error mitigation with identity insertions
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Barbara M. Terhal · 2015
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Quantum computation with realistic magic-state factories
Joe O’Gorman and Earl T. Campbell · 2017
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Error mitigation for short-depth quantum circuits
Kristan Temme, Sergey Bravyi, and Jay M. Gambetta · 2017
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Efficient Variational Quantum Simulator Incorporating Active Error Minimization
Ying Li and Simon C. Benjamin · 2017
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Practical quantum error mitigation for near-future applications
Suguru Endo, Simon C. Benjamin, and Ying Li · 2018
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Quantum computing in the NISQ era and beyond
John Preskill · 2018
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Low-cost error mitigation by symmetry verification
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien · 2018
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Cloud quantum computing of an atomic nucleus
E. F. Dumitrescu, A. J. McCaskey, G. Hagen, G. R. Jansen, T. D. Morris, T. Papenbrock, R. C. Pooser, D. J. Dean, and P. Lougovski · 2018
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Andre He, Benjamin Nachman, Wibe A. de Jong, and Christian W. Bauer · 2020
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Unifying and benchmarking state-of-the-art quantum error mitigation techniques, July 2021
Daniel Bultrini, Max Hunter Gordon, Piotr Czarnik, Andrew Arrasmith, Patrick J. Coles, and Lukasz Cincio · 2021
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Quantum error mitigation using symmetry expansion
Zhenyu Cai · 2021
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Exponential error suppression for near-term quantum devices
Bálint Koczor · 2021
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Experimental characterization of a non-markovian quantum process
K. Goswami, C. Giarmatzi, C. Monterola, S. Shrapnel, J. Romero, and F. Costa · 2021
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Extending quantum probabilistic error cancellation by noise scaling
Andrea Mari, Nathan Shammah, and William J. Zeng · 2021
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Error mitigation with Clifford quantum-circuit data
Piotr Czarnik, Andrew Arrasmith, Patrick J. Coles, and Lukasz Cincio · 2021
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Reducing the impact of time-correlated noise on zero-noise extrapolation, January 2022
Kevin Schultz, Ryan LaRose, Andrea Mari, Gregory Quiroz, Nathan Shammah, B. David Clader, and William J. Zeng · 2022
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