You're reading from Quantum Computing with Silq Programming Get up and running with quantum computing with the simplicity of this new high-level programming language

Product type Paperback

Published in Apr 2021

Publisher Packt

ISBN-13 9781800569669

Length 310 pages

Edition 1st Edition

Languages

C++

Tools

Quantum Development Kit

Concepts

Programming Language

Authors (2):

Thomas Cambier

Srinjoy Ganguly

View More author details

Table of Contents (19) Chapters

Preface

1. Section 1: Essential Background and Introduction to Quantum Computing

2. Chapter 1: Essential Mathematics and Algorithmic Thinking FREE CHAPTER

3. Chapter 2: Quantum Bits, Quantum Measurements, and Quantum Logic Gates

4. Chapter 3: Multiple Quantum Bits, Entanglement, and Quantum Circuits

5. Chapter 4: Physical Realization of a Quantum Computer

6. Section 2: Challenges in Quantum Programming and Silq Programming

7. Chapter 5: Challenges in Quantum Computer Programming

8. Chapter 6: Silq Programming Basics and Features

9. Chapter 7: Programming Multiple-Qubit Quantum Circuits with Silq

10. Section 3: Quantum Algorithms Using Silq Programming

11. Chapter 8: Quantum Algorithms I – Deutsch-Jozsa and Bernstein-Vazirani

12. Chapter 9: Quantum Algorithms II – Grover's Search Algorithm and Simon's Algorithm

13. Chapter 10: Quantum Algorithms III – Quantum Fourier Transform and Phase Estimation

14. Section 4: Applications of Quantum Computing

15. Chapter 11: Quantum Error Correction

16. Chapter 12: Quantum Cryptography – Quantum Key Distribution

17. Chapter 13: Quantum Machine Learning

18. Other Books You May Enjoy

Illustrating qubits in different bases

We saw in Chapter 1, Essential Mathematics and Algorithmic Thinking, that the states |0> and |1> are orthonormal states, which means that they have unit length and are orthogonal to each other. It can also be seen that these states are the most fundamental states that are used to construct other quantum states. Therefore, these states are known as orthonormal basis states. These states are linearly independent as well, and any other state can be formed by the linear combination of the states |0> and |1>.

In this section, we will see various illustrations of qubits in different bases, which will help us to understand the physical representation of qubits. We will be discussing the Bloch sphere representation of qubits and then the Z, X, and Y axis basis states. Various illustrations are useful for certain types of quantum algorithms, and they make the mathematics of the algorithms easier to understand. If you learn these different...