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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

Reversible operations

You’re composing a letter to the love of your life. You accidentally delete an entire paragraph. So, what do you do? Do you try to recreate the paragraph word by word? No. You use the document editor’s Undo feature to go back to the time when the paragraph appeared.

Some things in life can be undone, whereas others can’t. If you shoot a missile into the air, you can’t get it back onto the launch pad unscathed. If the love of your life reads your letter, you can’t un-write what you wrote. If someone sends bits through a classical AND gate and you examine the gate’s output, you can’t always tell what the input bits were. Figure 3.16 illustrates this point.

Figure 3.16 – Are the inputs 00, 01, or 10?

Figure 3.16 – Are the inputs 00, 01, or 10?

What about this chapter’s quantum gates? Can they be undone? Pick any starting point on the Bloch sphere and then apply the X gate. When you apply the X gate, you rotate the...

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