Quantum error mitigation

Z Cai, R Babbush, SC Benjamin, S Endo… - Reviews of Modern …, 2023 - APS
For quantum computers to successfully solve real-world problems, it is necessary to tackle
the challenge of noise: the errors that occur in elementary physical components due to …

Fundamental limits of quantum error mitigation

R Takagi, S Endo, S Minagawa, M Gu - npj Quantum Information, 2022 - nature.com
The inevitable accumulation of errors in near-future quantum devices represents a key
obstacle in delivering practical quantum advantages, motivating the development of various …

An overview of quantum error mitigation formulas

D Qin, X Xu, Y Li - Chinese Physics B, 2022 - iopscience.iop.org
Minimizing the effect of noise is essential for quantum computers. The conventional method
to protect qubits against noise is through quantum error correction. However, for current …

Universal sampling lower bounds for quantum error mitigation

R Takagi, H Tajima, M Gu - Physical Review Letters, 2023 - APS
Numerous quantum error-mitigation protocols have been proposed, motivated by the critical
need to suppress noise effects on intermediate-scale quantum devices. Yet, their general …

Universal cost bound of quantum error mitigation based on quantum estimation theory

K Tsubouchi, T Sagawa, N Yoshioka - Physical Review Letters, 2023 - APS
We present a unified approach to analyzing the cost of various quantum error mitigation
methods on the basis of quantum estimation theory. By analyzing the quantum Fisher …

Trainability enhancement of parameterized quantum circuits via reduced-domain parameter initialization

Y Wang, B Qi, C Ferrie, D Dong - Physical Review Applied, 2024 - APS
Parameterized quantum circuits (PQCs) have been widely used as a machine learning
model to explore the potential of achieving quantum advantages for various tasks. However …

Virtual quantum resource distillation: General framework and applications

R Takagi, X Yuan, B Regula, M Gu - Physical Review A, 2024 - APS
We develop the general framework of virtual resource distillation, an alternative distillation
strategy proposed in Phys. Rev. Lett. 132, 050203 (2024) 10.1103/PhysRevLett …

Quantum error mitigation via matrix product operators

Y Guo, S Yang - PRX Quantum, 2022 - APS
In the era of noisy intermediate-scale quantum devices, the number of controllable hardware
qubits is insufficient to implement quantum error correction. As an alternative, quantum error …

[HTML][HTML] Variational quantum singular value decomposition

X Wang, Z Song, Y Wang - Quantum, 2021 - quantum-journal.org
Singular value decomposition is central to many problems in engineering and scientific
fields. Several quantum algorithms have been proposed to determine the singular values …

Virtual quantum resource distillation

X Yuan, B Regula, R Takagi, M Gu - Physical Review Letters, 2024 - APS
Distillation, or purification, is central to the practical use of quantum resources in noisy
settings often encountered in quantum communication and computation. Conventionally …