[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 …

Is quantum advantage the right goal for quantum machine learning?

M Schuld, N Killoran - Prx Quantum, 2022 - APS
Machine learning is frequently listed among the most promising applications for quantum
computing. This is in fact a curious choice: the machine-learning algorithms of today are …

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 machine learning: from physics to software engineering

A Melnikov, M Kordzanganeh, A Alodjants… - Advances in Physics …, 2023 - Taylor & Francis
Quantum machine learning is a rapidly growing field at the intersection of quantum
technology and artificial intelligence. This review provides a two-fold overview of several key …

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 …

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 …

General parameter-shift rules for quantum gradients

D Wierichs, J Izaac, C Wang, CYY Lin - Quantum, 2022 - quantum-journal.org
Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale
quantum computers. Due to the structure of conventional parametrized quantum gates, the …

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 …

Generalized quantum circuit differentiation rules

O Kyriienko, VE Elfving - Physical Review A, 2021 - APS
Variational quantum algorithms that are used for quantum machine learning rely on the
ability to automatically differentiate parametrized quantum circuits with respect to underlying …