Quantum Computing

   June 9, 2024

Contents

Part I: Foundations of Quantum Computing

1️⃣ Introduction to Quantum Computing

  1. Introduction
  2. Why Quantum Computing?
  3. Classical vs Quantum Computing
  4. What is Quantum Computing?
  5. State of the Art Quantum Applications

2️⃣ Quantum Physics Essentials

  1. Quantum Particles
  2. Concept of Matter Wave: de-Broglie Hypothesis
  3. Principles of Quantum Mechanics
  4. The Schrödinger Equation in Quantum Computing
  5. Quantum Mechanics Postulates
  6. Heisenberg’s Matrix Formulation
  7. Dirac Formulation of Quantum Mechanics

3️⃣ Fundamental Concepts in Quantum Computing

  1. Fundamental Principles of Quantum Computing
  2. Mathematical Model for Quantum Computing

Part II: Quantum Information

4️⃣ Qubit and State Representation

  1. What is Qubit?
  2. Qubit States
  3. Representation of Qubits
  4. Superposition of Qubits
  5. Entanglement of Qubits
  6. Quantum Register
  7. Bloch Sphere (Block Sphere)
  8. Q-Sphere

Part III: Quantum Operations and Computation

5️⃣ Quantum Gates

  1. Introduction to Quantum Gates
  2. Single-Qubit Gates
    (X, Y, Z, Hadamard, Phase Shift)
  3. Multi-Qubit Gates
    (CNOT, Toffoli, Fredkin, Swap)
  4. Controlled Gates
  5. Gate Decomposition Principles

6️⃣ Quantum Circuits

  1. Introduction to Quantum Circuits
  2. Quantum Circuit Model
  3. Building and Simulating Quantum Circuits
  4. Quantum Measurements
  5. Measurement Devices

Part IV: Quantum Computing Hardware

7️⃣ Quantum Computing Architecture

  1. Core Components of Quantum Computers
  2. Quantum Processing Unit (QPU)
  3. Quantum Computing Cooling Systems
  4. Quantum Computing Hardware: Challenges & Considerations
  5. Different Approaches to Create Qubits
    (Trapped Ions, Superconducting Qubits, Photonic Qubits, Spin Qubits, etc.)

8️⃣ Quantum Error Correction

  1. Noise and Decoherence
  2. Quantum Error-Correcting Codes (QECC)
  3. Fault-Tolerant Quantum Computing

Part V: Quantum Algorithms and Applications

9️⃣ Quantum Algorithms

🔟 Quantum Technologies & Applications

  • Emerging Applications in Cryptography, AI, Chemistry, Optimization, Communication
  • Research Trends

Part VI: Professional and Skill Development

11 Career in Quantum Computing

  1. Skill Sets for Quantum Computing Engineer
  2. Tools and Software Ecosystem (Qiskit, Cirq, Braket, etc.)
  3. Roadmap for Quantum Computing Professionals

References

  1. Introduction to Quantum Computing1