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

Getting started with the phase estimation algorithm

The concept of the QFT that we have learned about in the previous sections will now help us to understand the quantum phase estimation algorithm, which utilizes the QFT as a subroutine block. The quantum phase estimation algorithm is an important algorithm as it is used in several other quantum algorithms, such as Shor's factorization algorithm and in the quantum algorithm for linear systems of equations.

Quantum phase estimation is used to estimate the phase (or eigenvalue) of an eigenvector of a unitary operator. This unitary operator can be any quantum transformation or any quantum gate as well. In a more mathematical sense, if we have the quantum state as the eigenvector of a unitary operator U with an eigenvalue of , then the phase estimation is used to estimate the value of with a high probability. The eigenvalue equation holds true for the phase estimation technique.