Variational quantum algorithms

M Cerezo, A Arrasmith, R Babbush… - Nature Reviews …, 2021 - nature.com
Applications such as simulating complicated quantum systems or solving large-scale linear
algebra problems are very challenging for classical computers, owing to the extremely high …

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 …

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 …

Quantum simulation for high-energy physics

CW Bauer, Z Davoudi, AB Balantekin, T Bhattacharya… - PRX quantum, 2023 - APS
It is for the first time that quantum simulation for high-energy physics (HEP) is studied in the
US decadal particle-physics community planning, and in fact until recently, this was not …

Scalable mitigation of measurement errors on quantum computers

PD Nation, H Kang, N Sundaresan, JM Gambetta - PRX Quantum, 2021 - APS
We present a method for mitigating measurement errors on quantum computing platforms
that does not form the full assignment matrix, or its inverse, and works in a subspace defined …

Mitigating measurement errors in multiqubit experiments

S Bravyi, S Sheldon, A Kandala, DC Mckay… - Physical Review A, 2021 - APS
Reducing measurement errors in multiqubit quantum devices is critical for performing any
quantum algorithm. Here we show how to mitigate measurement errors by a classical …

Mitigating depolarizing noise on quantum computers with noise-estimation circuits

M Urbanek, B Nachman, VR Pascuzzi, A He… - Physical review …, 2021 - APS
A significant problem for current quantum computers is noise. While there are many distinct
noise channels, the depolarizing noise model often appropriately describes average noise …

Near-term quantum computing techniques: Variational quantum algorithms, error mitigation, circuit compilation, benchmarking and classical simulation

HL Huang, XY Xu, C Guo, G Tian, SJ Wei… - Science China Physics …, 2023 - Springer
Quantum computing is a game-changing technology for global academia, research centers
and industries including computational science, mathematics, finance, pharmaceutical …

Efficient measure for the expressivity of variational quantum algorithms

Y Du, Z Tu, X Yuan, D Tao - Physical Review Letters, 2022 - APS
The superiority of variational quantum algorithms (VQAs) such as quantum neural networks
(QNNs) and variational quantum eigensolvers (VQEs) heavily depends on the expressivity …

[HTML][HTML] Variational algorithms for linear algebra

X Xu, J Sun, S Endo, Y Li, SC Benjamin, X Yuan - Science Bulletin, 2021 - Elsevier
Quantum algorithms have been developed for efficiently solving linear algebra tasks.
However, they generally require deep circuits and hence universal fault-tolerant quantum …