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Quantum Chemistry and Computing for the Curious

You're reading from  Quantum Chemistry and Computing for the Curious

Product type Book
Published in May 2022
Publisher Packt
ISBN-13 9781803243900
Pages 354 pages
Edition 1st Edition
Languages
Authors (3):
Alex Khan Alex Khan
Profile icon Alex Khan
Keeper L. Sharkey Keeper L. Sharkey
Profile icon Keeper L. Sharkey
Alain Chancé Alain Chancé
Profile icon Alain Chancé
View More author details

Table of Contents (14) Chapters

Preface 1. Chapter 1: Introducing Quantum Concepts 2. Chapter 2: Postulates of Quantum Mechanics 3. Chapter 3: Quantum Circuit Model of Computation 4. Chapter 4: Molecular Hamiltonians 5. Chapter 5: Variational Quantum Eigensolver (VQE) Algorithm 6. Chapter 6: Beyond Born-Oppenheimer 7. Chapter 7: Conclusion 8. Chapter 8: References
9. Chapter 9:Glossary
10. Other Books You May Enjoy Appendix A: Readying Mathematical Concepts 1. Appendix B: Leveraging Jupyter Notebooks on the Cloud 2. Appendix C: Trademarks

4.6. Constructing a fermionic Hamiltonian with Qiskit Nature

The Qiskit Nature platform works with spin orbitals [Qiskit_Nat_1]. Each molecular orbital can have a spin-up or a spin-down electron, or spin-paired electrons. A spin orbital is either of those cases. For each molecular orbital, we have two spin orbitals. Let's now illustrate the construction of a fermionic Hamiltonian operator of the hydrogen molecule with Qiskit Nature.

4.6.1. Constructing a fermionic Hamiltonian operator of the hydrogen molecule

First, we define the molecular geometry of the hydrogen molecule with the Qiskit Molecule class, which has the following input parameters:

  • geometry, a list of atom names, such as H for hydrogen, followed by Cartesian coordinates of the atom's position in units of angstroms
  • charge, an integer, the electric charge of the molecule
  • multiplicity, an integer, the multiplicity of the molecule, where is the total spin angular momentum, which is determined...
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