[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 …

Quantum algorithms for quantum chemistry and quantum materials science

B Bauer, S Bravyi, M Motta, GKL Chan - Chemical Reviews, 2020 - ACS Publications
As we begin to reach the limits of classical computing, quantum computing has emerged as
a technology that has captured the imagination of the scientific world. While for many years …

Compact ion-trap quantum computing demonstrator

I Pogorelov, T Feldker, CD Marciniak, L Postler… - PRX Quantum, 2021 - APS
Quantum information processing is steadily progressing from a purely academic discipline
towards applications throughout science and industry. Transitioning from lab-based, proof-of …

Quantum optimization using variational algorithms on near-term quantum devices

N Moll, P Barkoutsos, LS Bishop… - Quantum Science …, 2018 - iopscience.iop.org
Universal fault-tolerant quantum computers will require error-free execution of long
sequences of quantum gate operations, which is expected to involve millions of physical …

OpenFermion: the electronic structure package for quantum computers

JR McClean, NC Rubin, KJ Sung… - Quantum Science …, 2020 - iopscience.iop.org
Quantum simulation of chemistry and materials is predicted to be an important application
for both near-term and fault-tolerant quantum devices. However, at present, develo** and …

Scalable quantum simulation of molecular energies

PJJ O'Malley, R Babbush, ID Kivlichan, J Romero… - Physical Review X, 2016 - APS
We report the first electronic structure calculation performed on a quantum computer without
exponentially costly precompilation. We use a programmable array of superconducting …

Hybrid quantum-classical hierarchy for mitigation of decoherence and determination of excited states

JR McClean, ME Kimchi-Schwartz, J Carter… - Physical Review A, 2017 - APS
Using quantum devices supported by classical computational resources is a promising
approach to quantum-enabled computation. One powerful example of such a hybrid …

Quantum algorithms for electronic structure calculations: Particle-hole Hamiltonian and optimized wave-function expansions

PK Barkoutsos, JF Gonthier, I Sokolov, N Moll, G Salis… - Physical Review A, 2018 - APS
In this work we investigate methods to improve the efficiency and scalability of quantum
algorithms for quantum chemistry applications. We propose a transformation of the …

Simulating large quantum circuits on a small quantum computer

T Peng, AW Harrow, M Ozols, X Wu - Physical review letters, 2020 - APS
Limited quantum memory is one of the most important constraints for near-term quantum
devices. Understanding whether a small quantum computer can simulate a larger quantum …

Tapering off qubits to simulate fermionic Hamiltonians

S Bravyi, JM Gambetta, A Mezzacapo… - arxiv preprint arxiv …, 2017 - arxiv.org
We discuss encodings of fermionic many-body systems by qubits in the presence of
symmetries. Such encodings eliminate redundant degrees of freedom in a way that …