[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 …

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 …

VQE method: a short survey and recent developments

DA Fedorov, B Peng, N Govind, Y Alexeev - Materials Theory, 2022 - Springer
The variational quantum eigensolver (VQE) is a method that uses a hybrid quantum-
classical computational approach to find eigenvalues of a Hamiltonian. VQE has been …

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 …

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 …

Tequila: A platform for rapid development of quantum algorithms

JS Kottmann, S Alperin-Lea… - Quantum Science …, 2021 - iopscience.iop.org
Variational quantum algorithms are currently the most promising class of algorithms for
deployment on near-term quantum computers. In contrast to classical algorithms, there are …

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 …

Correlation-informed permutation of qubits for reducing ansatz depth in the variational quantum eigensolver

NV Tkachenko, J Sud, Y Zhang, S Tretiak, PM Anisimov… - PRX Quantum, 2021 - APS
The variational quantum eigensolver (VQE) is a method of choice to solve the electronic
structure problem for molecules on near-term gate-based quantum computers. However, the …

Analytic gradients in variational quantum algorithms: Algebraic extensions of the parameter-shift rule to general unitary transformations

AF Izmaylov, RA Lang, TC Yen - Physical Review A, 2021 - APS
Optimization of unitary transformations in variational quantum algorithms benefits highly
from efficient evaluation of cost function gradients with respect to amplitudes of unitary …

Variational quantum eigensolver with reduced circuit complexity

Y Zhang, L Cincio, CFA Negre, P Czarnik… - npj Quantum …, 2022 - nature.com
The variational quantum eigensolver (VQE) is one of the most promising algorithms to find
eigenstates of a given Hamiltonian on noisy intermediate-scale quantum devices (NISQ) …