[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 chemistry in the age of quantum computing

Y Cao, J Romero, JP Olson, M Degroote… - Chemical …, 2019 - ACS Publications
Practical challenges in simulating quantum systems on classical computers have been
widely recognized in the quantum physics and quantum chemistry communities over the …

Hardware-efficient variational quantum eigensolver for small molecules and quantum magnets

A Kandala, A Mezzacapo, K Temme, M Takita, M Brink… - nature, 2017 - nature.com
Quantum computers can be used to address electronic-structure problems and problems in
materials science and condensed matter physics that can be formulated as interacting …

Quantum computational chemistry

S McArdle, S Endo, A Aspuru-Guzik, SC Benjamin… - Reviews of Modern …, 2020 - APS
One of the most promising suggested applications of quantum computing is solving
classically intractable chemistry problems. This may help to answer unresolved questions …

The theory of variational hybrid quantum-classical algorithms

JR McClean, J Romero, R Babbush… - New Journal of …, 2016 - iopscience.iop.org
Many quantum algorithms have daunting resource requirements when compared to what is
available today. To address this discrepancy, a quantum-classical hybrid optimization …

A programmable qudit-based quantum processor

Y Chi, J Huang, Z Zhang, J Mao, Z Zhou, X Chen… - Nature …, 2022 - nature.com
Controlling and programming quantum devices to process quantum information by the unit
of quantum dit, ie, qudit, provides the possibilities for noise-resilient quantum …

A variational eigenvalue solver on a photonic quantum processor

A Peruzzo, J McClean, P Shadbolt, MH Yung… - Nature …, 2014 - nature.com
Quantum computers promise to efficiently solve important problems that are intractable on a
conventional computer. For quantum systems, where the physical dimension grows …

An adaptive variational algorithm for exact molecular simulations on a quantum computer

HR Grimsley, SE Economou, E Barnes… - Nature …, 2019 - nature.com
Quantum simulation of chemical systems is one of the most promising near-term
applications of quantum computers. The variational quantum eigensolver, a leading …

Quantum simulation

IM Georgescu, S Ashhab, F Nori - Reviews of Modern Physics, 2014 - APS
Simulating quantum mechanics is known to be a difficult computational problem, especially
when dealing with large systems. However, this difficulty may be overcome by using some …

Error mitigation extends the computational reach of a noisy quantum processor

A Kandala, K Temme, AD Córcoles, A Mezzacapo… - Nature, 2019 - nature.com
Quantum computation, a paradigm of computing that is completely different from classical
methods, benefits from theoretically proved speed-ups for certain problems and can be used …