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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

Quantum annealing

With rising concerns about climate change, it’s useful to think about the way temperature varies by geographic location. Figure 10.1 has a fictional map of temperatures in a particular region.

Figure 10.1 – A temperature map

Figure 10.1 – A temperature map

Our goal is to find the coldest spot on this map. One strategy would be to start at an arbitrary point and work our way to points of ever-decreasing temperature. This is called a greedy method because the algorithm always moves in a direction that yields a better value.

The arrow in Figure 10.1 shows a possible path using the greedy approach. The arrow starts at the top of the map, moves downward until it hits the center of the northernmost region, and then stops. The arrow stops because, having reached this point, movement in any direction would raise the temperature. The algorithm has found a local extreme point without ever getting near the coldest spot on the map.

Annealing is a way of moving slowly toward and...

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