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 …

[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 …

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 chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

An adaptive variational algorithm for exact molecular simulations on a quantum computer

HR Grimsley, SE Economou, E Barnes… - Nature …, 2019 - nature.com
Quantum simulation of chemical systems is one of the most promising near-term
applications of quantum computers. The variational quantum eigensolver, a leading …

A quantum computing view on unitary coupled cluster theory

A Anand, P Schleich, S Alperin-Lea… - Chemical Society …, 2022 - pubs.rsc.org
We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze
which are used to variationally solve the electronic structure problem on quantum …

Quantum chemistry calculations on a trapped-ion quantum simulator

C Hempel, C Maier, J Romero, J McClean, T Monz… - Physical Review X, 2018 - APS
Quantum-classical hybrid algorithms are emerging as promising candidates for near-term
practical applications of quantum information processors in a wide variety of fields ranging …

Generalized unitary coupled cluster wave functions for quantum computation

J Lee, WJ Huggins, M Head-Gordon… - Journal of chemical …, 2018 - ACS Publications
We introduce a unitary coupled-cluster (UCC) ansatz termed k-UpCCGSD that is based on a
family of sparse generalized doubles operators, which provides an affordable and …

Variational ansatz-based quantum simulation of imaginary time evolution

S McArdle, T Jones, S Endo, Y Li, SC Benjamin… - npj Quantum …, 2019 - nature.com
Imaginary time evolution is a powerful tool for studying quantum systems. While it is possible
to simulate with a classical computer, the time and memory requirements generally scale …