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 …

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 …

[HTML][HTML] Quantum computing with neutral atoms

L Henriet, L Beguin, A Signoles, T Lahaye… - Quantum, 2020 - quantum-journal.org
The manipulation of neutral atoms by light is at the heart of countless scientific discoveries in
the field of quantum physics in the last three decades. The level of control that has been …

[BOOK][B] Handbook of differential equations

D Zwillinger, V Dobrushkin - 2021 - api.taylorfrancis.com
Through the previous three editions, Handbook of Differential Equations has proven an
invaluable reference for anyone working within the field of mathematics, including …

Synergistic pretraining of parametrized quantum circuits via tensor networks

MS Rudolph, J Miller, D Motlagh, J Chen… - Nature …, 2023 - nature.com
Parametrized quantum circuits (PQCs) represent a promising framework for using present-
day quantum hardware to solve diverse problems in materials science, quantum chemistry …

A survey of quantum computing for finance

D Herman, C Googin, X Liu, A Galda, I Safro… - arxiv preprint arxiv …, 2022 - arxiv.org
Quantum computers are expected to surpass the computational capabilities of classical
computers during this decade and have transformative impact on numerous industry sectors …

Real-and imaginary-time evolution with compressed quantum circuits

SH Lin, R Dilip, AG Green, A Smith, F Pollmann - PRX Quantum, 2021 - APS
The current generation of noisy intermediate-scale quantum computers introduces new
opportunities to study quantum many-body systems. In this paper, we show that quantum …

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 …