Quantum Computing Fundamentals

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

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

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