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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

Shor’s Algorithm

Much of the buzz around quantum computing comes from one simple fact: a quantum computer with several thousand qubits can solve a certain strategic problem that classical computers have no hope of solving.

In 1994 [1], Peter Shor unveiled an algorithm to crack today’s widely used encryption schemes. Decrypting a message might take trillions of years on a classical computer. But Shor’s algorithm, running on a sufficiently large quantum computer, can decrypt a message in less than a minute. It would be nice if most people welcomed a solution to this decryption problem. But, unfortunately, most people who want to break encryption schemes are malicious hackers.

Businesses and governments are taking this problem seriously. At this very moment (no matter when you’re reading this), people around the world are developing post-quantum cryptography schemes. These newly formulated schemes must be resistant to vulnerabilities arising from quantum...

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