Advanced Quantum Computing
Fault tolerance, error correction, advanced algorithms, and research frontiers in quantum information. Go deep into quantum information science.
Level: Advanced · Category: Quantum Computing · Estimated time: 8 hours
Prerequisites
- Intermediate Quantum Computing
Lessons
- Shor's Factoring Algorithm — Period finding, modular exponentiation, and cryptographic impact.
- Quantum Error Correction Basics — Bit-flip and phase-flip codes, syndrome measurement, and logical qubits.
- Stabilizer Formalism & Surface Codes — Pauli group, stabilizers, and scalable fault-tolerant architectures.
- Fault-Tolerant Gate Sets — Magic state distillation, transversal gates, and the threshold theorem.
- Quantum Machine Learning — Quantum kernels, QNNs, and when quantum advantage may appear in ML.
- Hardware & Roadmap — Superconducting, ion trap, and photonic qubits; scaling challenges.
Topics covered
error-correction, shor, fault-tolerance, quantum-ml, hardware