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Quantum Computing Algorithms

You're reading from   Quantum Computing Algorithms Discover how a little math goes a long way

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Product type Paperback
Published in Sep 2023
Publisher Packt
ISBN-13 9781804617373
Length 342 pages
Edition 1st Edition
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Author (1):
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Barry Burd Barry Burd
Author Profile Icon Barry Burd
Barry Burd
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Table of Contents (19) Chapters Close

Preface 1. Introduction to Quantum Computing 2. Part 1 Nuts and Bolts FREE CHAPTER
3. Chapter 1: New Ways to Think about Bits 4. Chapter 2: What Is a Qubit? 5. Chapter 3: Math for Qubits and Quantum Gates 6. Chapter 4: Qubit Conspiracy Theories 7. Part 2 Making Qubits Work for You
8. Chapter 5: A Fanciful Tale about Cryptography 9. Chapter 6: Quantum Networking and Teleportation 10. Part 3 Quantum Computing Algorithms
11. Chapter 7: Deutsch’s Algorithm 12. Chapter 8: Grover’s Algorithm 13. Chapter 9: Shor’s Algorithm 14. Part 4 Beyond Gate-Based Quantum Computing
15. Chapter 10: Some Other Directions for Quantum Computing 16. Assessments 17. Index 18. Other Books You May Enjoy

Describing Deutsch’s problem

Deutsch’s algorithm solves a problem concerning constant and balanced functions. So, as you start this chapter, I want to make sure that you’re familiar with the terms algorithm, function, constant function, and balanced function. This section covers those essential ideas.

Algorithms

You may have seen friendly signs that display the equivalent of “Welcome!” in many languages. Figure 7.1 does the same kind of thing for a particular sequence of instructions:

Figure 7.1 – Expressing the steps that add 1 to a number

Figure 7.1 – Expressing the steps that add 1 to a number

Each part of Figure 7.1 inputs a number and outputs that number plus 1. The parts look different, but they all describe the same sequence of steps. This sequence of steps is an example of an algorithm.

Definition

An algorithm is a sequence of steps.

You can change the way you describe a particular sequence of steps. But when you do, you still have the same algorithm...

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