Quantum Computing for the Quantum Curious.
| Main Author: | |
|---|---|
| Other Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Cham :
Springer International Publishing AG,
2021.
|
| Edition: | 1st ed. |
| Subjects: | |
| Online Access: | Click to View |
Table of Contents:
- Intro
- Acknowledgments
- Contents
- Course Description
- About
- Prerequisites
- Fundamental
- Intermediate
- Advanced
- Learning Objectives
- Alternative Pathways
- 1 Introduction to Superposition
- 1.1 Classical Superposition
- 1.2 Quantum Superposition
- 1.3 Big Ideas
- 1.4 Activities
- 1.5 Check Your Understanding
- 2 What Is a Qubit?
- 2.1 Mathematical Representation of Qubits
- 2.1.1 Dirac Bra-Ket Notation
- 2.1.2 Examples
- 2.2 Matrix Representation
- 2.2.1 Examples
- 2.3 Bloch Sphere
- 2.4 Physical Realization of Qubits
- 2.5 Big Ideas
- 2.6 Check Your Understanding
- 3 Creating Superposition: The Beam Splitter
- 3.1 Beam Splitter
- 3.2 Mach-Zehnder Interferometer
- 3.2.1 Particle Explanation
- 3.3 Big Ideas
- 3.4 Check Your Understanding
- 4 Creating Superposition: Stern-Gerlach
- 4.1 Stern-Gerlach Apparatus
- 4.2 Measurement Basis
- 4.3 Geometric Representation of a Basis
- 4.4 Effect of Measurement
- 4.5 Big Ideas
- 4.6 Activities
- 4.7 Check Your Understanding
- 5 Quantum Cryptography
- 5.1 Cryptography Fundamentals
- 5.2 Classical Cryptography
- 5.3 BB84 Quantum Key Distribution
- 5.3.1 Before Sending the Message
- 5.3.2 Quantum Part
- 5.3.3 Example
- 5.3.4 Classical Post-processing
- 5.4 Detecting an Eavesdropper
- 5.4.1 Example
- 5.5 Big Ideas
- 5.6 Activities
- 5.7 Check Your Understanding
- 6 Quantum Gates
- 6.1 Single Qubit Gates
- 6.2 X (Also Called NOT) Gate
- 6.3 Hadamard Gate
- 6.4 Mathematics of the Hadamard Gate
- 6.4.1 Examples
- 6.5 Z Gate
- 6.6 Big Ideas
- 6.7 Activities
- 6.8 Check Your Understanding
- 7 Entanglement
- 7.1 Entanglement Fundamentals
- 7.2 Hidden Variable Theory
- 7.3 Multi-Qubit States
- 7.3.1 Example
- 7.4 Non-Entangled Systems
- 7.4.1 Example
- 7.5 Entangled Systems
- 7.5.1 Example
- 7.5.2 Example.
- 7.6 Entangling Particles
- 7.7 CNOT Gate
- 7.8 Notation Convention
- 7.9 Examples
- 7.10 Big Ideas
- 7.11 Activities
- 7.12 Check Your Understanding
- 8 Quantum Teleportation
- 8.1 Scanning a Qubit
- 8.2 Teleportation Protocol
- 8.3 Big Ideas
- 8.4 Check Your Understanding
- 9 Quantum Algorithms
- 9.1 The Power of Quantum Computing
- 9.2 Limitations
- 9.3 Deutsch-Jozsa Algorithm
- 9.3.1 The Problem Statement
- 9.3.2 Conceptual Understanding
- 9.3.3 Quantum Algorithm
- 9.4 Quantum Computers Today
- 9.5 Big Ideas
- 9.6 Activities
- 9.7 Check Your Understanding
- 10 Worksheets
- 10.1 Correlation in Entangled States Lab
- 10.2 Polarizer Demo
- 10.3 Quantum Tic-Tac-Toe
- 10.3.1 The Rules
- 10.3.2 Connection to Quantum Physics
- 10.4 Schrödinger's Worm Using Five Qubits
- 10.5 Superposition vs. Mixed States Lab
- 10.6 Measurement Basis Lab
- 10.7 One-Time Pad
- 10.7.1 One-Time Pad: Alice
- 10.7.2 One-Time Pad (Bob)
- 10.8 BB84 Quantum Key Distribution
- 10.8.1 BB84 Quantum Key Distribution: Alice
- 10.8.2 BB84 Quantum Key Distribution: Bob
- 10.8.3 BB84 Quantum Key Distribution: Eve
- A Probability
- A.1 Introduction
- A.2 Combining Probabilities
- A.2.1 Key Words Review
- A.2.2 Key Ideas Review
- A.2.3 Check Your Understanding
- A.3 Histograms
- A.4 Mean, Median, and Mode
- A.4.1 Key Word Review
- A.4.2 Check Your Understanding
- A.5 Variance and Standard Deviation
- A.5.1 Key Word Review
- A.5.2 Check Your Understanding
- B Linear Algebra
- B.1 Introduction
- B.2 Scalars, Vectors, and Matrices
- B.2.1 Scalars
- B.2.2 Vectors
- Operations with Vectors
- B.2.3 Matrices
- Addition and Subtraction of Matrices
- Multiplication with Matrices
- Transposition
- B.3 Key Word Review
- B.4 Check Your Understanding
- Answers to Odds
- Answers to Odds
- Chapter 1 Solutions.
- Chapter 2 Solutions
- Chapter 3 Solutions
- Chapter 4 Solutions
- Chapter 5 Solutions
- Chapter 6 Solutions
- Chapter 7 Solutions
- Chapter 8 Solutions
- Chapter 9 Solutions
- Chapter 10 Solutions
- 10.1
- 10.4
- 10.5
- 10.6
- Appendix A Solutions
- A.2
- A.4
- A.5
- Appendix B Solutions
- Index.