[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 …

Exploiting symmetry in variational quantum machine learning

JJ Meyer, M Mularski, E Gil-Fuster, AA Mele, F Arzani… - PRX Quantum, 2023 - APS
Variational quantum machine learning is an extensively studied application of near-term
quantum computers. The success of variational quantum learning models crucially depends …

Emerging quantum computing algorithms for quantum chemistry

M Motta, JE Rice - Wiley Interdisciplinary Reviews …, 2022 - Wiley Online Library
Digital quantum computers provide a computational framework for solving the Schrödinger
equation for a variety of many‐particle systems. Quantum computing algorithms for the …

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 …

Local, expressive, quantum-number-preserving VQE ansätze for fermionic systems

GLR Anselmetti, D Wierichs, C Gogolin… - New Journal of …, 2021 - iopscience.iop.org
We propose VQE circuit fabrics with advantageous properties for the simulation of strongly
correlated ground and excited states of molecules and materials under the Jordan–Wigner …

Matrix-model simulations using quantum computing, deep learning, and lattice monte carlo

E Rinaldi, X Han, M Hassan, Y Feng, F Nori… - PRX Quantum, 2022 - APS
Matrix quantum mechanics plays various important roles in theoretical physics, such as a
holographic description of quantum black holes, and it underpins the only practical …

Progress toward larger molecular simulation on a quantum computer: Simulating a system with up to 28 qubits accelerated by point-group symmetry

C Cao, J Hu, W Zhang, X Xu, D Chen, F Yu, J Li, HS Hu… - Physical Review A, 2022 - APS
The exact evaluation of the molecular ground state in quantum chemistry requires an
exponentially increasing computational cost. Quantum computation is a promising way to …

Deep variational quantum eigensolver: a divide-and-conquer method for solving a larger problem with smaller size quantum computers

K Fujii, K Mizuta, H Ueda, K Mitarai, W Mizukami… - PRX Quantum, 2022 - APS
We propose a divide-and-conquer method for the quantum-classical hybrid algorithm to
solve larger problems with small-scale quantum computers. Specifically, we concatenate a …

Quantum computation of dominant products in lithium–sulfur batteries

JE Rice, TP Gujarati, M Motta, TY Takeshita… - The Journal of …, 2021 - pubs.aip.org
Quantum chemistry simulations of some industrially relevant molecules are reported,
employing variational quantum algorithms for near-term quantum devices. The energies and …