Quantum Computing Fundamentals

Overview

As the field of quantum computing continues to evolve and advance, there is a growing need for professionals with the knowledge and skills to tackle the complex challenges and opportunities it presents.

This comprehensive course is designed to provide participants with a thorough understanding of the fundamental principles and practical applications of quantum computing. Through a blend of theoretical and hands-on learning, participants will gain a deep appreciation for the potential of this cutting-edge technology and be equipped with the skills needed to make a real impact in the field.

Whether you are a researcher, security practitioner, engineer, or simply interested in this exciting and rapidly evolving field, this course offers a unique and valuable opportunity to gain the knowledge and skills needed to succeed in the quantum era.

Topics covered in the course;

• Introduction to quantum computing
• Postulates of Quantum Mechanics
• Bloch sphere
• IBM Quantum Entanglement
• Quantum Gates
• No Cloning Theorem
• Quantum algorithms
• Programming in Qiskit

Prerequisites

Learners should be familiar with matrix multiplication, vectors, and complex numbers.

Objectives

You will;

• Gain the skills to accurately calculate the probabilities of quantum states
• Obtain the knowledge and tools necessary to effectively illustrate quantum bits
• Have the ability to write quantum circuits using the Qiskit language
• Become proficient in utilising the Quantum Computer of IBM

Outline

Day 1

Introduction to Quantum Computing

• Introduction of the course
• Motivations behind quantum computing
• Description of a Quantum Phenomenon

The Postulates of Quantum Mechanics

• Four postulates
• Quantum bits (qubits)
• Quantum registers (quregisters)
• Quantum gates
• Extracting information from quantum registers (Measurements)

IBM Quantum

• Entanglement
• Implementation examples for qubits

Elements of classical digital technology

• Logical gates and circuits
• Synchronous Sequential circuits

Day 2

Quantum Gates

• One Qubit Gates
• Two (or more) Qubits Gates

Quantum Circuit Model

• Quantum Circuit: Overview
• The beam-splitter experiment

How to prepare a superposition?

• Preparing an arbitrary quantum state

No cloning theorem

• No Cloning Theorem – Proof

Quantum Algorithms

• Receipt of quantum algorithm design
• Initialization
• Quantum parallelism
• Amplitude amplification
• Measurement
• Classical post-processing
• Algorithms with polynomial speedup
• Grover's algorithm

Day 3

Quantum Algorithms

• Algorithms with superpolynomial speedup
• The Deutsch-Jozsa Algorithms
• Quantum Fourier Transform
• Phase estimation
• Deutsch-Jozsa algorithm and phase estimation
• Quantum Counting
• Shor's Algorithms
• Quantum optimization

Programming Quantum Computers

• The main approaches
• Qiskit
• Q#
• IBM Quantum
• Xanadu Quantum Computer

Summary and outlook

• Post quantum cryptography
• Quantum communications