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Quantum Computing Algorithms

You're reading from  Quantum Computing Algorithms

Product type Book
Published in Sep 2023
Publisher Packt
ISBN-13 9781804617373
Pages 342 pages
Edition 1st Edition
Languages
Author (1):
Barry Burd Barry Burd
Profile icon Barry Burd

Table of Contents (19) Chapters

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

A qubit’s values between 0 and 1

A bit’s value is either 0 or 1. In contrast, a qubit’s value can be |0, |1, or anything in between |0 and |1. But that’s not the whole story. Imagine a qubit that (in some way or other) is halfway between |0 and |1. This qubit has infinitely many different ways of being between |0 and |1. To understand this infinite number of ways, we need some visual aids.

Pictorially, each bit is on one of two points. Figure 2.1 shows these points:

Figure 2.1 – A bit’s value is either 0 or 1

Figure 2.1 – A bit’s value is either 0 or 1

In contrast, we can think of a qubit as being somewhere on the surface of a sphere. We call it a Bloch sphere. Here are some facts about the Bloch sphere:

  • A qubit on the Bloch sphere’s north pole has a value of |0. Figure 2.2 shows this sphere:
Figure 2.2 – A |0⟩ qubit

Figure 2.2 – A |0 qubit

    ...
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