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 …

Noise-induced barren plateaus in variational quantum algorithms

S Wang, E Fontana, M Cerezo, K Sharma… - Nature …, 2021 - nature.com
Abstract Variational Quantum Algorithms (VQAs) may be a path to quantum advantage on
Noisy Intermediate-Scale Quantum (NISQ) computers. A natural question is whether noise …

Current trends in computer aided drug design and a highlight of drugs discovered via computational techniques: A review

VT Sabe, T Ntombela, LA Jhamba… - European Journal of …, 2021 - Elsevier
Computer-aided drug design (CADD) is one of the pivotal approaches to contemporary pre-
clinical drug discovery, and various computational techniques and software programs are …

Connecting ansatz expressibility to gradient magnitudes and barren plateaus

Z Holmes, K Sharma, M Cerezo, PJ Coles - PRX Quantum, 2022 - APS
Parametrized quantum circuits serve as ansatze for solving variational problems and
provide a flexible paradigm for the programming of near-term quantum computers. Ideally …

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 …

On scientific understanding with artificial intelligence

M Krenn, R Pollice, SY Guo, M Aldeghi… - Nature Reviews …, 2022 - nature.com
An oracle that correctly predicts the outcome of every particle physics experiment, the
products of every possible chemical reaction or the function of every protein would …

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 …

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 …