📘 Quantum Computing: Foundations, Algorithms

Course Overview

This course introduces the fundamental principles of quantum computing, bridging quantum mechanics, mathematical foundations, quantum algorithms, and hands-on quantum programming. Students will gain both conceptual understanding and practical skills needed to work with quantum technologies.

Module 1: Introduction to Quantum Computing

1.1 Evolution of Quantum Computing

• Historical development of quantum computing
  
  

• Limitations of classical computing
  
  

• Emergence of quantum information science
  
  

• Major breakthroughs and milestones in quantum computing
  
  

1.2 Motivation and Impact

• Why quantum computing matters
  
  

• Potential advantages over classical computation
  
  

• Impact on cryptography, optimization, chemistry, AI, and materials science
  
  

Module 2: Fundamentals of Quantum Mechanics for Computing

2.1 Core Quantum Principles

• Quantum superposition
  
  

• Quantum entanglement
  
  

• Quantum interference
  
  

2.2 Quantum Information Basics

• Qubits vs classical bits
  
  

• Quantum states and state vectors
  
  

• Measurement and probabilistic outcomes
  
  

Module 3: Mathematical Foundations of Quantum Computing

3.1 Linear Algebra Refresher

• Vectors and vector spaces
  
  

• Matrices and matrix operations
  
  

• Complex numbers and eigenvalues
  
  

3.2 Quantum Notation

• Dirac (Bra–Ket) notation
  
  

• State vectors and operators
  
  

Module 4: Qubits and Quantum States

4.1 Single-Qubit Systems

• Physical realization of qubits
  
  

• Bloch sphere representation
  
  

• Pure and mixed states
  
  

4.2 Quantum Measurement

• Measurement postulates
  
  

• Wavefunction collapse
  
  

• Measurement probabilities
  
  

Module 5: Quantum Gates and Quantum Circuits

5.1 Single- and Multi-Qubit Gates

• Pauli gates (X, Y, Z)
  
  

• Hadamard gate
  
  

• Phase and rotation gates
  
  

• Controlled gates (CNOT)
  
  

5.2 Quantum Circuits

• Circuit diagrams and notation
  
  

• Reversible computation
  
  

• Building simple quantum circuits
  
  

Module 6: Quantum Algorithms – An Introduction

6.1 Classical vs Quantum Algorithms

• Computational complexity overview
  
  

• Speedup and quantum advantage
  
  

6.2 Foundations of Quantum Algorithms

• Oracle-based computation
  
  

• Amplitude amplification
  
  

• Role of interference
  
  

Module 7: Shor’s Algorithm

7.1 Integer Factorization Problem

• Importance in cryptography
  
  

• Classical complexity limitations
  
  

7.2 Quantum Fourier Transform (QFT)

• Concept and mathematical foundation
  
  

• Role in Shor’s algorithm
  
  

7.3 Shor’s Algorithm Workflow

• Algorithm steps and intuition
  
  

• Demonstration on small integers
  
  

Module 8: Quantum Entanglement and Non-Classical Correlations

8.1 Quantum Entanglement

• Definition and properties
  
  

• Entangled vs separable states
  
  

8.2 Bell States and Quantum Nonlocality

• Bell states
  
  

• Bell’s theorem
  
  

• EPR paradox and its implications
  
  

Module 9: Applications of Quantum Entanglement

9.1 Quantum Communication

• Quantum teleportation protocol
  
  

• Superdense coding
  
  

9.2 Quantum Cryptography

• Quantum Key Distribution (QKD)
  
  

• Security guarantees from quantum mechanics
  
  

Module 10: Quantum Errors and Error Correction

10.1 Quantum Noise and Decoherence

• Sources of quantum errors
  
  

• Decoherence mechanisms
  
  

10.2 Introduction to Quantum Error Correction

• Bit-flip and phase-flip errors
  
  

• Basic quantum error-correcting codes
  
  

• Concept of fault tolerance

Limited time 80% discount to attend the course: 1000

 now only at 200 ₹

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