Syllabus Of Quantum Computing

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  Category:  QUANTUM COMPUTING | 16th October 2025, Thursday

Here’s A detailed Syllabus Of Quantum Computing — Suitable For University-level Study (B.Tech, M.Tech, MSc, Or PhD) Or Professional Certification Courses. It Covers fundamental Concepts, Mathematics, Algorithms, And Applications In Quantum Computing.

Quantum Computing – Complete Syllabus

Module 1: Introduction To Quantum Computing

• History And Motivation Behind Quantum Computing
• Limitations Of Classical Computation
• Postulates Of Quantum Mechanics
• Concepts Of Superposition And Entanglement
• Zubits And Quantum States
• Bloch Sphere Representation
• Quantum Vs Classical Information

Module 2: Linear Algebra And Quantum Mathematics

• Complex Numbers And Vector Spaces
• Inner And Outer Products
• Tensor Products
• Unitary And Hermitian Matrices
• Eigenvalues And Eigenvectors
• Dirac Notation (Bra–Ket Notation)
• Matrix Representation Of Quantum Gates
• Measurement And Probabilities

Module 3: Quantum Gates And Circuits

• Quantum Logic Gates (X, Y, Z, H, S, T, RX, RY, RZ)
• Multi-qubit Gates (CNOT, Toffoli, SWAP)
• Circuit Composition And Decomposition
• Measurement Operations
• Quantum Parallelism
• Circuit Simplification And Optimization
• Quantum Teleportation
• Superdense Coding

Module 4: Quantum Algorithms

• Quantum Computational Models
       Deutsch And Deutsch–Jozsa Algorithm
       Bernstein–Vazirani Algorithm
       Simon’s Algorithm
       Grover’s Search Algorithm (Quantum Search)
       Shor’s Algorithm (Quantum Factoring)
• Amplitude Amplification
• Quantum Phase Estimation
• Quantum Fourier Transform (QFT)
• Applications Of QFT (Order Finding, Period Finding)

Module 5: Quantum Error Correction And Decoherence

• Sources Of Quantum Noise
• Decoherence And Dephasing
• Quantum Error Correction Codes (Shor Code, Steane Code)
• Fault-tolerant Quantum Computation
• Stabilizer Formalism
• Quantum Channels And Density Matrices

Module 6: Quantum Hardware And Implementations

Quantum Bits In Physical Systems:

     Superconducting Qubits
     Trapped Ions

      Photonic Qubits
      Spin Qubits

• Quantum Hardware Architecture
• Quantum Control And Measurement
• Cryogenic Systems
• NISQ (Noisy Intermediate-Scale Quantum) Devices

Module 7: Quantum Programming And Simulation

Quantum Software Frameworks:

     IBM Qiskit
     Google Cirq
     Microsoft Q#
     Amazon Braket
    Xanadu PennyLane

• Writing Quantum Programs
• Circuit Simulation
• Quantum Cloud Platforms (IBM Quantum Experience, Etc.)
• Hybrid Quantum–classical Algorithms (VQE, QAOA)

Module 8: Post-Quantum Cryptography And Quantum Security

• Impact Of Quantum Computing On Classical Cryptography (RSA, ECC)
• Quantum Key Distribution (QKD)
• BB84, E91 Protocols
• Quantum-resistant Algorithms
• Lattice-based Cryptography
• Quantum-safe Networks

Module 9: Quantum Machine Learning (QML)

• Quantum Data Representation
• Quantum Feature Maps And Kernels
• Quantum Neural Networks
• Variational Quantum Circuits
• Hybrid Classical–quantum ML Pipelines
• Applications In Classification, Clustering, And Optimization

Module 10: Advanced Topics And Applications

• Quantum Simulation Of Physical Systems
• Quantum Optimization (Ising Model, Max-Cut)
• Quantum Chemistry Applications
• Quantum Communication Networks
• Quantum Internet
• Future Trends And Research Challenges

Recommended Textbooks

1. Michael A. Nielsen & Isaac L. Chuang — Quantum Computation And Quantum Information

2. N. David Mermin — Quantum Computer Science

3. Leonard Susskind & Art Friedman — Quantum Mechanics: The Theoretical Minimum

4. Jack D. Hidary — Quantum Computing: An Applied Approach

5. Chris Bernhardt — Quantum Computing For Everyone

Tools & Practical Exercises

Use IBM Qiskit For Simulation And Running On Real Quantum Computers.
Perform Labs On Grover’s Algorithm, Shor’s Algorithm, And QKD Simulation.
Work On Quantum AI Mini-projects Like Quantum Classifiers.
Run hybrid VQE And QAOA Algorithms Using Cloud Backends.

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Syllabus Of Quantum Computing, Quantum Computing