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 …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

Hybrid quantum-classical algorithms and quantum error mitigation

S Endo, Z Cai, SC Benjamin, X Yuan - Journal of the Physical …, 2021 - journals.jps.jp
Quantum computers can exploit a Hilbert space whose dimension increases exponentially
with the number of qubits. In experiment, quantum supremacy has recently been achieved …

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 …

Virtual distillation for quantum error mitigation

WJ Huggins, S McArdle, TE O'Brien, J Lee, NC Rubin… - Physical Review X, 2021 - APS
Contemporary quantum computers have relatively high levels of noise, making it difficult to
use them to perform useful calculations, even with a large number of qubits. Quantum error …

NISQ computing: where are we and where do we go?

JWZ Lau, KH Lim, H Shrotriya, LC Kwek - AAPPS bulletin, 2022 - Springer
In this short review article, we aim to provide physicists not working within the quantum
computing community a hopefully easy-to-read introduction to the state of the art in the field …

Quantum algorithms for quantum dynamics

A Miessen, PJ Ollitrault, F Tacchino… - Nature Computational …, 2023 - nature.com
Among the many computational challenges faced across different disciplines, quantum-
mechanical systems pose some of the hardest ones and offer a natural playground for the …

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 …

[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 …