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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

3.2. Quantum gates

Quantum gates are unitary operators () working on one, two, or three qubits. The norm is preserved when applied to a quantum state. The action of a quantum gate on a quantum state corresponds to the multiplication of the matrix representing the gate by the vector representing the quantum state: .

In this section, a tensor product of qubits is represented with the first qubit on the left-most side of the tensor product: where . Please note that we are not using the Qiskit tensor ordering of qubits unless specifically specified.

In this section, we cover the following:

  • Section 3.2.1, Single-qubit quantum gates
  • Section 3.2.2, Two-qubit quantum gates
  • Section 3.2.3, Three-qubit quantum gates
  • Section 3.2.4, Serial wired gates and parallel quantum gates
  • Section 3.2.5, Creation of a Bell state
  • Section 3.2.6, Parallel Hadamard gates

3.2.1. Single-qubit quantum gates

A single-qubit gate has a unitary matrix form: .

In this...

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