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 will 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

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.


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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!

English
language

Content

Math prerequisites

Complex numbers: The form of a complex number
Quiz1
Complex numbers: complexe conjugate
Quiz2
Complex numbers: Euler notation
Quiz3
Matrices: Introduction
Matrices: Matrix addition
Quiz4
Matrices: Matrix multiplication
Quiz5
Matrices: Scalar multiplication
Matrices: Square matrix
Matrices: Identity matrix
Quiz6
Ket and bra notation, ket notation
Ket and bra notation, bra notation
Inner product

Qubit

Introduction
Examples for calculation of probability-part 1
Examples for calculation of probability-part 2
Quiz7
Matrix representation
Matrix representation, examples, part 1
Quiz8
Bloch sphere

Quantum gates: Single quantum gates

X gate (NOT gate)
X gate, examples, part 1
X gate, examples, part 2
Hadamard gate
Y gate
Z gate
S gate
T gate
Quiz9

Multiple Qubit

Tensor product
Multiple qubit: examples

Multiple qubit gates

CNOT gate
CNOT gate exercise 1
CNOT gate exercise 2
Quiz10
CZ gate
CZ gate, exercise
Swap gate
Toffoli gate

Coding: Qiskit

Qiskit installation
Hello world code
X gate
X gate, Bloch sphere and histogram
H gate, statevector
H gate, statevector 2
H gate, Bloch sphere and histogram
CNOT gate, draw circuit and histogram
CNOT gate, case 2
CNOT gate, Bloch sphere
Swap gate
Toffoli gate

Application

Entaglement and bell state
superdense coding
Superdense coding