Computing at the quantum scale

Qubits, superposition, Bloch sphere, and quantum gates fundamentals

Building circuits, two-qubit gates, measurement, and Qiskit programming

Deutsch-Jozsa, Grover's search, and quantum oracle design

Simon's algorithm, Shor's factoring, and quantum phase estimation

VQE, QAOA, and hybrid quantum-classical optimization

Quantum neural networks, data encoding, and QML algorithms

Quantum key distribution, post-quantum cryptography, and security implications

Quantum noise, error mitigation, and fault-tolerant quantum computing

Finance, chemistry, optimization, and real-world quantum use cases

Superconducting qubits, trapped ions, photonics, and hardware platforms

Simulating quantum systems, materials, and chemical processes

Final quantum computing project integrating all concepts