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Y. Li and S. C. Benjamin, Efficient Variational Quantum Simulator Incorporating Active Error Minimization, Physical Review X 7
2017
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.
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.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien, Low-cost error mitigation by symmetry verification, Physical Review A 98
2018
Earlier work this paper cites.
S. McArdle, X. Yuan, and S. Benjamin, Error-Mitigated Digital Quantum Simulation, Physical Review Letters 122
2019
Earlier work this paper cites.

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K. Mitarai and K. Fujii, Methodology for replacing indirect measurements with direct measurements, Physical Review Research 1
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B. Koczor, Exponential Error Suppression for Near-Term Quantum Devices, arXiv:2011.05942 [quant-ph] (2020)
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T. E. O’Brien, S. Polla, N. C. Rubin, W. J. Huggins, S. McArdle, S. Boixo, J. R. McClean, and R. Babbush, Error Mitigation via Verified Phase Estimation, PRX Quantum 2

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2021

Cai, Zhenyu

To achieve the practical applications of near-term noisy quantum devices, low-cost ways to mitigate the noise damages in the devices are essential.

In many applications, the noiseless state we want to prepare is often a pure state, which has recently inspired a range of purification-based quantum error mitigation proposals.
The existing proposals either are limited to the suppressions of only the leading-order state preparation errors, or require a large number of long-range gates that might be challenging to implement depending on the qubit architecture.
This article will provide an overview of the different purification-based quantum error mitigation schemes and propose a resource-efficient scheme that can correct state preparation errors up to any order while requiring only half of the qubits and less than half of the long-range gates compared to before.

Y. Li and S. C. Benjamin, Efficient Variational Quantum Simulator Incorporating Active Error Minimization, Physical Review X 7
2017
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.
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.
X. Bonet-Monroig, R. Sagastizabal, M. Singh, and T. E. O’Brien, Low-cost error mitigation by symmetry verification, Physical Review A 98
2018
Earlier work this paper cites.
S. McArdle, X. Yuan, and S. Benjamin, Error-Mitigated Digital Quantum Simulation, Physical Review Letters 122
2019
Earlier work this paper cites.

K. Mitarai and K. Fujii, Methodology for replacing indirect measurements with direct measurements, Physical Review Research 1
2019
Cited alongside, same era.
B. Koczor, Exponential Error Suppression for Near-Term Quantum Devices, arXiv:2011.05942 [quant-ph] (2020)
Original
2020
Cited alongside, same era.
F. B. Maciejewski, Z. Zimborás, and M. Oszmaniec, Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography, Quantum 4
2020
Cited alongside, same era.
W. J. Huggins, S. McArdle, T. E. O’Brien, J. Lee, N. C. Rubin, S. Boixo, K. B. Whaley, R. Babbush, and J. R. McClean, Virtual Distillation for Quantum Error Mitigation, arXiv:2011.07064 [quant-ph] (2021)
Original
2021
Cited alongside, same era.
T. E. O’Brien, S. Polla, N. C. Rubin, W. J. Huggins, S. McArdle, S. Boixo, J. R. McClean, and R. Babbush, Error Mitigation via Verified Phase Estimation, PRX Quantum 2

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…

2021

Cited alongside, same era.

Z. Cai, Multi-exponential error extrapolation and combining error mitigation techniques for NISQ applications, npj Quantum Information 7

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Cited in the paper.

2021

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