Quantum Computing : A Comprehensive Beginner'S Guide

Exploring Quantum Computing with Qiskit:A Comprehensive Beginner's Guide to Quantum Computing Fundamentals,Quantum Gates

What you'll learn

Understand the fundamental principles of quantum computing, including qubits, quantum gates, and entanglement.

Have knowledge of various single-qubit gates, such as X, Y, Z, and Hadamard gates, and their respective gate notations and matrix representations.

Understand the principles of multiple-qubit gates, such as the CNOT, CZ, Swap, and Toffoli gates, and their notations.

Gain practical experience using Qiskit

Requirements

No prior knowledge or experience in quantum computing is required to take this course. However, learners should have a basic understanding of linear algebra and programming concepts. It is also recommended to have a computer with a reliable internet connection and the ability to install Qiskit, a popular quantum computing framework. Don't worry if you are new to programming or don't have experience with Qiskit, as we will guide you through the installation process and provide step-by-step instructions for each exercise.

Description

Are you ready to dive into the fascinating world of quantum computing? In this course, we will start with the foundation of quantum computing: the qubit. You will learn about qubit notation and the matrix representation, including vector notation and the famous Bloch sphere.We will explore the essential single-qubit gates, such as the X gate, the Hadamard gate, Y gate, Z gate, S gate, and T gate, and their respective gate notations and matrix representations. You will also delve into the world of multiple qubit gates, such as the CNOT gate, CZ gate, Swap gate, and Toffoli gate, and their notations.But what makes quantum computing so revolutionary is entanglement, and we will cover this topic in detail, including the concept of Bell's state. And we will end our journey with superdense coding, the exciting concept of sending multiple classical bits of information using only one qubit.Through a mix of theoretical and practical exercises using Qiskit, a popular quantum computing framework, you will gain the skills to start programming your own quantum applications. By the end of this course, you will have a solid understanding of the fundamental concepts and tools needed to take the next step in the fascinating world of quantum computing. Get ready for an exciting adventure!

Overview

Section 1: Math prerequisites

Lecture 1 Complex numbers: The form of a complex number

Lecture 2 Complex numbers: complexe conjugate

Lecture 3 Complex numbers: Euler notation

Lecture 4 Matrices: Introduction

Lecture 5 Matrices: Matrix addition

Lecture 6 Matrices: Matrix multiplication

Lecture 7 Matrices: Scalar multiplication

Lecture 8 Matrices: Square matrix

Lecture 9 Matrices: Identity matrix

Lecture 10 Ket and bra notation, ket notation

Lecture 11 Ket and bra notation, bra notation

Lecture 12 Inner product

Section 2: Qubit

Lecture 13 Introduction

Lecture 14 Examples for calculation of probability-part 1

Lecture 15 Examples for calculation of probability-part 2

Lecture 16 Matrix representation

Lecture 17 Matrix representation, examples, part 1

Lecture 18 Bloch sphere

Section 3: Quantum gates: Single quantum gates

Lecture 19 X gate (NOT gate)

Lecture 20 X gate, examples, part 1

Lecture 21 X gate, examples, part 2

Lecture 22 Hadamard gate

Lecture 23 Y gate

Lecture 24 Z gate

Lecture 25 S gate

Lecture 26 T gate

Section 4: Multiple Qubit

Lecture 27 Tensor product

Lecture 28 Multiple qubit: examples

Section 5: Multiple qubit gates

Lecture 29 CNOT gate

Lecture 30 CNOT gate exercise 1

Lecture 31 CNOT gate exercise 2

Lecture 32 CZ gate

Lecture 33 CZ gate, exercise

Lecture 34 Swap gate

Lecture 35 Toffoli gate

Section 6: Coding: Qiskit

Lecture 36 Qiskit installation

Lecture 37 Hello world code

Lecture 38 X gate

Lecture 39 X gate, Bloch sphere and histogram

Lecture 40 H gate, statevector

Lecture 41 H gate, statevector 2

Lecture 42 H gate, Bloch sphere and histogram

Lecture 43 CNOT gate, draw circuit and histogram

Lecture 44 CNOT gate, case 2

Lecture 45 CNOT gate, Bloch sphere

Lecture 46 Swap gate

Lecture 47 Toffoli gate

Section 7: Application

Lecture 48 Entaglement and bell state

Lecture 49 superdense coding

Lecture 50 Superdense coding

This course is designed for anyone who is interested in learning about the fascinating world of quantum computing. No prior experience in quantum computing or programming is necessary. The course is suitable for beginners who want to gain a solid understanding of the fundamental concepts and tools needed to start programming their own quantum applications. It is also suitable for professionals in fields such as computer science, physics, engineering, and mathematics who want to expand their knowledge in quantum computing. If you have a curious mind and a passion for learning, then this course is for you.