[HTML][HTML] The variational quantum eigensolver: a review of methods and best practices

J Tilly, H Chen, S Cao, D Picozzi, K Setia, Y Li, E Grant… - Physics Reports, 2022 - Elsevier
The variational quantum eigensolver (or VQE), first developed by Peruzzo et al.(2014), has
received significant attention from the research community in recent years. It uses the …

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 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 …

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 …

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 …

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 …

[HTML][HTML] Theory of variational quantum simulation

X Yuan, S Endo, Q Zhao, Y Li, SC Benjamin - Quantum, 2019 - quantum-journal.org
The variational method is a versatile tool for classical simulation of a variety of quantum
systems. Great efforts have recently been devoted to its extension to quantum computing for …

Digital zero noise extrapolation for quantum error mitigation

T Giurgica-Tiron, Y Hindy, R LaRose… - 2020 IEEE …, 2020 - ieeexplore.ieee.org
Zero-noise extrapolation (ZNE) is an increasingly popular technique for mitigating errors in
noisy quantum computations without using additional quantum resources. We review 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 …

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 …