[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 …

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 computing for healthcare: A review

R Ur Rasool, HF Ahmad, W Rafique, A Qayyum… - Future Internet, 2023 - mdpi.com
In recent years, the interdisciplinary field of quantum computing has rapidly developed and
garnered substantial interest from both academia and industry due to its ability to process …

Qubit-excitation-based adaptive variational quantum eigensolver

YS Yordanov, V Armaos, CHW Barnes… - Communications …, 2021 - nature.com
Molecular simulations with the variational quantum eigensolver (VQE) are a promising
application for emerging noisy intermediate-scale quantum computers. Constructing …

Quantum computing of the nucleus via ordered unitary coupled clusters

O Kiss, M Grossi, P Lougovski, F Sanchez… - Physical Review C, 2022 - APS
The variational quantum eigensolver (VQE) is an algorithm to compute ground and excited
state energy of quantum many-body systems. A key component of the algorithm and an …

Layer VQE: A variational approach for combinatorial optimization on noisy quantum computers

X Liu, A Angone, R Shaydulin, I Safro… - IEEE Transactions …, 2022 - ieeexplore.ieee.org
Combinatorial optimization on near-term quantum devices is a promising path to
demonstrating quantum advantage. However, the capabilities of these devices are …

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 …

Exact electronic states with shallow quantum circuits from global optimisation

HGA Burton, D Marti-Dafcik, DP Tew… - npj Quantum …, 2023 - nature.com
Quantum computers promise to revolutionise molecular electronic simulations by
overcoming the exponential memory scaling. While electronic wave functions can be …

A feasible approach for automatically differentiable unitary coupled-cluster on quantum computers

JS Kottmann, A Anand, A Aspuru-Guzik - Chemical science, 2021 - pubs.rsc.org
We develop computationally affordable and encoding independent gradient evaluation
procedures for unitary coupled-cluster type operators, applicable on quantum computers …