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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

Summary

Using classical communications, any information that you send over a network can be intercepted and read by a malicious agent. This includes meaningful information such as your credit card number, but it also includes any randomly generated key that you use to encrypt the meaningful information. One way to achieve secure message transmission is for both the sender and the receiver to have information without ever transmitting that information over a network. We know of no way to do this with credit card numbers or any other meaningful information. But, using the BB84 algorithm, the sender and receiver can cooperatively create a random key that’s known only to the two of them. This random key is never transmitted along network lines.

The BB84 algorithm depends on one important fact: you can’t clone a qubit. If you get a qubit in some arbitrary state, , you can’t measure the values of {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mi>&#x3B1;</mi></mstyle></math>"} and {"mathml":"<math style=\"font-family:stix;font-size:16px;\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><mstyle mathsize=\"16px\"><mi>&#x3B2;</mi></mstyle></math>"} to end up with two qubits in the same state. But what if you...

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