[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 …

Noisy intermediate-scale quantum algorithms

K Bharti, A Cervera-Lierta, TH Kyaw, T Haug… - Reviews of Modern …, 2022 - APS
A universal fault-tolerant quantum computer that can efficiently solve problems such as
integer factorization and unstructured database search requires millions of qubits with low …

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 …

Quantum computing of the nucleus via ordered unitary coupled clusters

O Kiss, M Grossi, P Lougovski, F Sanchez… - Physical Review C, 2022 - APS
The variational quantum eigensolver (VQE) is an algorithm to compute ground and excited
state energy of quantum many-body systems. A key component of the algorithm and an …

Quantum HF/DFT-embedding algorithms for electronic structure calculations: Scaling up to complex molecular systems

M Rossmannek, PK Barkoutsos, PJ Ollitrault… - The Journal of …, 2021 - pubs.aip.org
In the near future, material and drug design may be aided by quantum computer assisted
simulations. These have the potential to target chemical systems intractable by the most …

Variational quantum eigensolver for dynamic correlation functions

H Chen, M Nusspickel, J Tilly, GH Booth - Physical Review A, 2021 - APS
Recent practical approaches for the use of current generation noisy quantum devices in the
simulation of quantum many-body problems have been dominated by the use of a …

Light-front field theory on current quantum computers

M Kreshchuk, S Jia, WM Kirby, G Goldstein, JP Vary… - Entropy, 2021 - mdpi.com
We present a quantum algorithm for simulation of quantum field theory in the light-front
formulation and demonstrate how existing quantum devices can be used to study the …

Finite-size criticality in fully connected spin models on superconducting quantum hardware

M Grossi, O Kiss, F De Luca, C Zollo, I Gremese… - Physical Review E, 2023 - APS
The emergence of a collective behavior in a many-body system is responsible for the
quantum criticality separating different phases of matter. Interacting spin systems in a …

Probing many-body localization by excited-state variational quantum eigensolver

S Liu, SX Zhang, CY Hsieh, S Zhang, H Yao - Physical Review B, 2023 - APS
Nonequilibrium physics including many-body localization (MBL) has attracted increasing
attentions, but theoretical approaches of reliably studying nonequilibrium properties remain …

Training variational quantum algorithms with random gate activation

S Liu, SX Zhang, SK Jian, H Yao - Physical Review Research, 2023 - APS
Variational quantum algorithms (VQAs) hold great potential for near-term applications and
are promising to achieve quantum advantage in practical tasks. However, VQAs suffer from …