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 …

The future of quantum computing with superconducting qubits

S Bravyi, O Dial, JM Gambetta, D Gil… - Journal of Applied …, 2022 - pubs.aip.org
For the first time in history, we are seeing a branching point in computing paradigms with the
emergence of quantum processing units (QPUs). Extracting the full potential of computation …

Probabilistic error cancellation with sparse Pauli–Lindblad models on noisy quantum processors

E Van Den Berg, ZK Minev, A Kandala, K Temme - Nature physics, 2023 - nature.com
Noise in quantum computers can result in biased estimates of physical observables.
Accurate bias-free estimates can be obtained using probabilistic error cancellation, an error …

Encoding a magic state with beyond break-even fidelity

RS Gupta, N Sundaresan, T Alexander, CJ Wood… - Nature, 2024 - nature.com
To run large-scale algorithms on a quantum computer, error-correcting codes must be able
to perform a fundamental set of operations, called logic gates, while isolating the encoded …

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 …

Quantum error mitigation as a universal error reduction technique: Applications from the NISQ to the fault-tolerant quantum computing eras

Y Suzuki, S Endo, K Fujii, Y Tokunaga - PRX Quantum, 2022 - APS
In the early years of fault-tolerant quantum computing (FTQC), it is expected that the
available code distance and the number of magic states will be restricted due to the limited …

Quantum error mitigated classical shadows

H Jnane, J Steinberg, Z Cai, HC Nguyen, B Koczor - PRX Quantum, 2024 - APS
Classical shadows enable us to learn many properties of a quantum state ρ with very few
measurements. However, near-term and early fault-tolerant quantum computers will only be …

Error mitigation for universal gates on encoded qubits

C Piveteau, D Sutter, S Bravyi, JM Gambetta… - Physical review letters, 2021 - APS
The Eastin-Knill theorem states that no quantum error-correcting code can have a universal
set of transversal gates. For Calderbank-Shor-Steane codes that can implement Clifford …

Generalized quantum subspace expansion

N Yoshioka, H Hakoshima, Y Matsuzaki, Y Tokunaga… - Physical Review Letters, 2022 - APS
One of the major challenges for erroneous quantum computers is undoubtedly the control
over the effect of noise. Considering the rapid growth of available quantum resources that …