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Quantum Computing

Delve into quantum computing to gain insights into quantum mechanics, explore quantum algorithms, and discover practical applications, positioning yourself as a technological innovator in advanced computing.

Beginner

138 Lessons

17h

Certificate of Completion

Delve into quantum computing to gain insights into quantum mechanics, explore quantum algorithms, and discover practical applications, positioning yourself as a technological innovator in advanced computing.

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This course includes

2 Projects

136 Quizzes

Course Overview

What You'll Learn

Course Content

Course Overview

This course covers quantum computing, a groundbreaking technology that utilizes quantum mechanics for advanced information processing. Quantum computing has the potential to revolutionize computing, including cryptography, optimization, drug discovery, and complex simulations in ways traditional computing can’t. The course begins by teaching the foundational mathematics required to understand quantum mechanics. Next, you’ll explore various quantum algorithms, understanding their differences from classical ...Show More

This course covers quantum computing, a groundbreaking technology that utilizes quantum mechanics for advanced information proce...Show More

What You'll Learn

Familiarity with the key concepts in quantum computing

An understanding of the mathematics behind quantum computing algorithms

Working knowledge of important quantum computing algorithms

The ability to apply quantum computing algorithms in various fields

Familiarity with the key concepts in quantum computing

Show more

Course Content

1.

Introduction

4 Lessons

Get familiar with the basics of quantum computing and its future significance.

Meet Alice, Bob, and Cardy

What’s the Big Deal About Quantum Computing?

A Brief Preview

How to Use This Course: Encouragement and Coaching

2.

Traditional Computing

5 Lessons

Look at the foundation of classical computing, from binary digits to logic gates.

Traditional Computing vs. Quantum Computing

Logic Gates and Truth Tables

Quiz: Traditional Computing

Summary: Traditional Computing

3.

Traditional Bits in New Clothing

6 Lessons

Examine the transition from classical to quantum bits, focusing on state representations and logic gates.

Gates as Matrices

Quiz: Traditional Bits in New Clothing

Summary: Traditional Bits in New Clothing

4.

Qubits and Quantum States

11 Lessons

Grasp the fundamentals of qubits, quantum states, polarization, and their roles in quantum computing.

What Is a Qubit?

What Is a Quantum State?

Quantum States and Quantum Computers

Quantum States and State Space

Polarized Light

Ordinary Vectors

Back to Polarized Light

Orthogonality of Two-State Vectors

Quiz: Qubits and Quantum States

Summary: Qubits and Quantum States

5.

Quantum Measurements

7 Lessons

Solve problems in the complex yet fundamental domain of quantum measurements and state preparation.

Quantum Measurements: What Are They?

Light Intensity from a Two-Polarizer Setup

State Amplitudes and Probabilities

More on State Amplitudes and Probabilities

State Preparation

Quiz: Quantum Measurements

Summary: Quantum Measurements

6.

Quantum Gates and Quantum Circuits

8 Lessons

Follow the process of manipulating quantum states with gates, circuits, and measurement intricacies.

What Is a Quantum Gate?

Single-Qubit Quantum Gates

Successive Quantum Gates

Mathematical Interlude

Successive Application of the Same Quantum Gate

Measurement Devices are not Reversible

Quiz: Quantum Gates and Quantum Circuits

Summary: Quantum Gates and Quantum Circuits

7.

Putting a Spin on Spin

5 Lessons

Practice using spin-1/2 systems as qubits, manipulating states with quantum gates.

Quantum Spin Systems

Representations of Spin-1/2 Systems

Quantum Gates and Spin-1/2 Systems

Quiz: Putting a Spin on Spin

Summary: Putting a Spin on Spin

8.

Your Basis, My Basis

12 Lessons

Learn how to use basis transformations and quantum state measurements for secure communication.

Changing Basis States

Changing Quantum Basis States

Three Basis Sets: 0°, 60°, and −60°

Dot and Inner Products of State Vectors

Spin-1/2 States

General Basis State Transformations

The Three-Polarizing-Sheets Experiment

A “Minus 1” Mystery

Bennett–Brassard-84 Encryption Protocol

Quiz: Your Basis, My Basis

Summary: Your Basis, My Basis

9.

Multi-Qubit Systems, Entanglement, and Quantum Weirdness

12 Lessons

Walk through multi-qubit systems, emphasizing entanglement, state independence, and measurement effects.

Two-Qubit Quantum States

General Two-Qubit States

Two-Qubit Basis Vectors are Orthogonal

Single Qubits and Product States

Quantum Entanglement

Generalized Born Rule and Entanglement

Entanglement and the States of Just One of the Qubits

More on Entangled States

Changing Basis States for Two-Qubit States

Two Qubits and Three Measurement Base

Quiz: Multi-Qubit Systems, Entanglement, and Quantum Weirdness

Summary: Multi-Qubit Systems, Entanglement, and Quantum Weirdness

10.

Quantum Circuits and Multi-Qubit Applications

12 Lessons

Work your way through quantum circuits, CNOT gates, entanglement, and quantum state teleportation.

Two Qubit Gates

Quantum Circuits (Quantum Gate Arrays)

The Bell Circuit

The Reverse Bell Circuit

Entanglement Swapping

No-Cloning Theorem

Superdense Coding

Quantum State Teleportation

Quiz: Quantum Circuits and Multi-Qubit Applications

Summary: Quantum Circuits and Multi-Qubit Applications

11.

Quantum Computing Algorithms

7 Lessons

Grasp the fundamentals of quantum algorithms, utilizing superposition and entanglement for enhanced computational efficiency.

Welcome to the Quantum Algorithm Zoo

The Deutsch Algorithm

Implementing Function Evaluation with Simple Quantum Gates

The Simon Search Algorithm

Multi-Qubit Hadamard Gates

Quiz: Quantum Computing Algorithms

Summary: Quantum Computing Algorithms

Implement the Deutsch Algorithm with Qiskit

Project

13.

More Quantum Algorithms

9 Lessons

Deepen your knowledge of advanced quantum algorithms, including Grover's search and error correction.

Grover Search Algorithm

Geometric Approach

Quantum Operator Approach

Amplitude Amplification Approach

Error Correction

Quantum Computational Chemistry

Quiz: More Quantum Algorithms

Summary: More Quantum Algorithms

14.

Factoring Algorithm

11 Lessons

See how Shor's algorithm and quantum Fourier transforms revolutionize factoring and threaten RSA encryption.

RSA Encryption and Factoring

Number Theory Warm-Up

The RSA Algorithm

The Shor Factoring Algorithm

Connecting Periodic Functions and Factoring

Period Finding and Fourier Analysis

Quantum Fourier Analysis

Modular Exponentiation

Greatest Common Divisor

Quiz: Factoring Algorithm

Summary: Factoring Algorithm

Implement Shor’s Factoring Algorithm Using Qiskit

Project

16.

Fundamental Quantum Issues

12 Lessons

Master the steps to understanding fundamental quantum concepts, measurements, entanglement, and decoherence.

Bell’s Theorem

Exploring Quantum Mysteries

The Measurement Problem

Measurement and Decoherence

The Relationship Between Classical and Quantum Computing

Entanglement and Quantum Measurements

Entanglement and Correlations of Measurement Outcomes

Another Look at Averages in Quantum Mechanics

Where Is the Planck’s Constant?

Quiz: Fundamental Quantum Issues

Summary: Fundamental Quantum Issues

17.

Complexifying Quantum States

7 Lessons

Sharpen your skills in complex numbers, Fourier transforms, and the Bloch sphere in quantum states.

Complex Numbers and Variables

Complex Exponentials

Quantum Fourier Transform

Relative Phases in Quantum States

The Bloch Sphere

Quiz: Complexifying Quantum States

Summary: Complexifying Quantum States

18.

Present and Future QIS and QC

10 Lessons

Discover the logic behind QC and QIS's development, programming, applications, architectures, ethics, and career preparation.

QC and QIS Overview

Programming Quantum Computers

Physics of Qubits

Quantum Information Science and the Quantum Internet

Quantum Computing and Machine Learning

Alternative Quantum Computer Architectures

Preparing for Your Quantum Career

Summary: Present and Future QIS and QC

Course Author

Oxford University Press

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