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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| Format: | article |
| Language: | EN |
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De Gruyter
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/d2ec095970b047c397c6469673c8d7f4 |
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| Summary: | 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}). |
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