Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources

In this article, the hydrogen molecular ground-state energies using our algorithm based on quantum variational principle are calculated. They are calculated through a simulator since the system of the present study (i.e., the hydrogen molecule) is relatively small and hence the ground-state energies...

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Autor principal:	Abu-Nada Ali
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	quantum simulation variational quantum eigensolver quantum computing Physics QC1-999
Acceso en línea:	https://doaj.org/article/d2ec095970b047c397c6469673c8d7f4
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id	oai:doaj.org-article:d2ec095970b047c397c6469673c8d7f4
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spelling	oai:doaj.org-article:d2ec095970b047c397c6469673c8d7f42021-12-05T14:11:02ZQuantum computing simulation of the hydrogen molecular ground-state energies with limited resources2391-547110.1515/phys-2021-0071https://doaj.org/article/d2ec095970b047c397c6469673c8d7f42021-11-01T00:00:00Zhttps://doi.org/10.1515/phys-2021-0071https://doaj.org/toc/2391-5471In this article, the hydrogen molecular ground-state energies using our algorithm based on quantum variational principle are calculated. They are calculated through a simulator since the system of the present study (i.e., the hydrogen molecule) is relatively small and hence the ground-state energies for this molecule are efficiently classically simulable using a simulator. Complete details of this algorithm are elucidated. For this, a full description on the fermions–qubits and the molecular Hamiltonian–qubit Hamiltonian transformations, is given. The authors search for qubit system parameters (θ0{\theta }_{0} and θ1{\theta }_{1}) that yield the minimum energies for the system and also study the ground state energies as a function of the molecular bond length. Proposed circuit is humble and does not include many parameters compared with that of Kandala et al., the authors control only two parameters (θ0{\theta }_{0} and θ1{\theta }_{1}).Abu-Nada AliDe Gruyterarticlequantum simulationvariational quantum eigensolverquantum computingPhysicsQC1-999ENOpen Physics, Vol 19, Iss 1, Pp 628-633 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	quantum simulation variational quantum eigensolver quantum computing Physics QC1-999
spellingShingle	quantum simulation variational quantum eigensolver quantum computing Physics QC1-999 Abu-Nada Ali Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
description	In this article, the hydrogen molecular ground-state energies using our algorithm based on quantum variational principle are calculated. They are calculated through a simulator since the system of the present study (i.e., the hydrogen molecule) is relatively small and hence the ground-state energies for this molecule are efficiently classically simulable using a simulator. Complete details of this algorithm are elucidated. For this, a full description on the fermions–qubits and the molecular Hamiltonian–qubit Hamiltonian transformations, is given. The authors search for qubit system parameters (θ0{\theta }_{0} and θ1{\theta }_{1}) that yield the minimum energies for the system and also study the ground state energies as a function of the molecular bond length. Proposed circuit is humble and does not include many parameters compared with that of Kandala et al., the authors control only two parameters (θ0{\theta }_{0} and θ1{\theta }_{1}).
format	article
author	Abu-Nada Ali
author_facet	Abu-Nada Ali
author_sort	Abu-Nada Ali
title	Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
title_short	Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
title_full	Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
title_fullStr	Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
title_full_unstemmed	Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
title_sort	quantum computing simulation of the hydrogen molecular ground-state energies with limited resources
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/d2ec095970b047c397c6469673c8d7f4
work_keys_str_mv	AT abunadaali quantumcomputingsimulationofthehydrogenmoleculargroundstateenergieswithlimitedresources
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Quantum computing simulation of the hydrogen molecular ground-state energies with limited resources

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