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 …

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 …

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 …

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 …

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 information and algorithms for correlated quantum matter

K Head-Marsden, J Flick, CJ Ciccarino… - Chemical …, 2020 - ACS Publications
Discoveries in quantum materials, which are characterized by the strongly quantum-
mechanical nature of electrons and atoms, have revealed exotic properties that arise from …

Digital quantum simulation of open quantum systems using quantum imaginary–time evolution

H Kamakari, SN Sun, M Motta, AJ Minnich - PRX Quantum, 2022 - APS
Quantum simulation on emerging quantum hardware is a topic of intense interest. While
many studies focus on computing ground-state properties or simulating unitary dynamics of …

An adaptive optimizer for measurement-frugal variational algorithms

JM Kübler, A Arrasmith, L Cincio, PJ Coles - Quantum, 2020 - quantum-journal.org
Variational hybrid quantum-classical algorithms (VHQCAs) have the potential to be useful in
the era of near-term quantum computing. However, recently there has been concern …

Variational quantum state eigensolver

M Cerezo, K Sharma, A Arrasmith, PJ Coles - npj Quantum Information, 2022 - nature.com
Extracting eigenvalues and eigenvectors of exponentially large matrices will be an important
application of near-term quantum computers. The variational quantum eigensolver (VQE) …