Quantum Computing Course in Monte Carlo

​Quantum Computing Course Outline

Module 1: Introduction to Quantum Computing

• What is Quantum Computing?
• Quantum Mechanics
• Qubits and Quantum Memory
• Elementary Gates

Module 2: Overview of Circuit Model and Deutsch-Jozsa

• Classical Circuits
• Quantum Circuits
• Universality of Various Sets of Elementary Gates
• Quantum Parallelism
• Early Algorithms

Module 3: Simon’s Algorithm and Fourier Transform

• Simon’s Algorithm
• Problem
• Quantum Algorithm
• Classical Algorithms for Simon’s Problem

Module 4: Fast Fourier Transform

• Classical Discrete Fourier Transform
• Fast Fourier Transform
• Application: Multiplying Two Polynomials
• Quantum Fourier Transform

Module 5: Shor’s Factoring Algorithm

• Factoring
• Shor's Period-Finding Algorithm
• Continued Fractions

Module 6: Hidden Subgroup Problem

• Group Theory Reminder
• A General Algorithm for Abelian HSP
• Non-Abelian QFT on Coset States

Module 7: Grover’s Search and Quantum Walk Algorithm

• Grover’s Algorithm
• Amplitude Amplification
• Quantum Walk
• Applications

Module 8: Hamiltonian Simulation and HHL Algorithm

• Hamiltonians
• Methods of Hamiltonian Simulation

Module 9: Introduction to HHL Algorithm

• What is HHL Algorithm?
• Linear System Problem
• HHL Algorithm for Linear Systems
• Improving HHL Algorithm Complexity

Module 10: Quantum Query Lower Bounds

• Introduction
• Polynomial Method
• Quantum Adversary Method

Module 11: Quantum Complexity Theory

• Introduction to Quantum Complexity Theory
• Classical and Quantum Complexity Classes
• Classically Simulating Quantum Computers in Polynomial Space

Module 12: Quantum Encodings with a Non-Quantum Application

• Mixed States and General Measurements
• Quantum Encodings and Their Limits
• Lower Bounds on Locally Decodable Codes

Module 13: Quantum Communication Complexity

• Classical Communication Complexity
• Quantum Question

Module 14: Entanglement and Non-Locality

• Quantum Non-Locality
• CHSH: Clauser-Horne-Shimony-Holt
• Magic Square Game

Module 15: Introduction to Quantum Cryptography

• Quantum Key Distribution
• Reduced Density Matrices and the Schmidt Decomposition
• Impossibility of Perfect Bit Commitment

Module 16: Error-Correction and Fault-Tolerance

• Introduction
• Classical Error-Correction
• Quantum Errors
• Quantum Error-Correcting Codes
• Fault-Tolerant Quantum Computation
• Concatenated Codes and the Threshold Theorem

Who Should Attend this Quantum Computing Training Course?

The Quantum Computing Training Course is designed for those who want to get better at understanding the basics and implementation techniques of Quantum Computing. The Quantum Computing Training Course can benefit the following professionals:

• Software Developers
• Data Scientists
• Mathematicians
• Computer Scientists
• Researchers
• Financial Analysts
• Telecommunications Experts

Prerequisites of the Quantum Computing Course

There are no formal prerequisites for this Quantum Computing Training.

Quantum Computing Course Overview

Quantum Computing Training introduces delegates to the principles of quantum mechanics and quantum computing concepts. It covers quantum states, circuits, and algorithms, showing how quantum systems outperform classical computing.

This training helps delegates build analytical and problem-solving skills for advanced computing challenges. It supports readiness to understand quantum algorithms, error correction concepts, and emerging applications across research, technology, and data-driven environments.

This 1-Day Quantum Computing Course offered by The Knowledge Academy helps delegates apply quantum concepts confidently. It builds understanding of simulations, optimisation, and fault tolerance for practical, real-world use.

Quantum Computing Course Objectives

• To grasp fundamental principles of quantum mechanics applied in computing
• To implement quantum algorithms through practical hands-on exercises
• To gain proficiency in quantum programming languages and tools
• To understand the real-world applications and potential impact of quantum computing
• To foster collaboration and knowledge-sharing in the evolving field

Upon completion this Quantum Computing Training, delegates will possess a deep understanding of quantum computing principles, hands-on experience with quantum algorithms, and the skills needed to contribute to advancements in this transformative field.

What’s Included in this Introduction to Quantum Computing Course?

• World-Class Training Sessions from Experienced Instructors
• Quantum Computing Certificate
• Digital Delegate Pack