advanced
321 lessons across two tracks.
Physics & Mechanics
1. Quantum Information & von Neumann Entropy
2. Quantum Channels & Open Systems
3. Entanglement Measures & Multipartite Entanglement
4. Bell Nonlocality & Device-Independence
5. Quantum Cryptography & QKD
6. Quantum Error-Correction Theory
7. Stabilizer Formalism & CSS Codes
8. Surface Codes & Topological Codes
9. Fault-Tolerant Quantum Computing
10. Magic States & Distillation
11. Measurement-Based Quantum Computation
12. Topological Order & Anyons
13. Quantum Complexity Theory
14. Open Quantum Systems & Lindblad Dynamics
Quantum Programming
1. Advanced Circuit Construction & Transpilation
2. Implementing Error-Correcting Codes
3. Implementing the Surface Code
4. Fault-Tolerant Gate Synthesis
5. Advanced Hamiltonian Simulation
- Beyond Trotter
- Higher-Order Product Formulas
- Error Scaling of Product Formulas
- Linear Combination of Unitaries (LCU)
- Qubitization (Overview)
- Quantum Signal Processing (Overview)
- Simulating the Heisenberg Model
- Measuring Dynamical Quantities
- Time-Dependent Hamiltonians
- Comparing Simulation Methods
- Checkpoint: Simulate a Spin Chain
6. Quantum Chemistry on Quantum Computers
- The Electronic Structure Problem
- Second Quantization
- The Jordan–Wigner Transform
- The Bravyi–Kitaev Transform
- Molecular Hamiltonians as Paulis
- Hartree–Fock Initial States
- VQE for Molecules
- Unitary Coupled-Cluster Ansatz
- Computing Dissociation Curves
- Error Mitigation in Chemistry
- Checkpoint: Ground-State Energy
7. Advanced VQE & Ansatz Design
8. Quantum Machine Learning (Advanced)
9. Quantum Annealing & Adiabatic Computing
10. Tensor Networks & Simulation Methods
11. Quantum Sensing & Metrology
12. Distributed & Networked Quantum Computing
13. Benchmarking, Noise Characterization & RB
14. Quantum Software Engineering & Resource Estimation
15. Capstone Projects
- Project: End-to-End Shor
- Project: A Full QEC Demo
- Project: Molecular Ground State
- Project: QAOA at Scale
- Project: A Quantum Classifier
- Project: Error-Mitigated Estimation
- Project: Entanglement Network
- Project: Benchmark a Device Model
- Project: Hamiltonian Simulation Study
- Project: Resource Estimate a Real Algorithm
- Reflection: The Path Forward
- Capstone: Original Research Demo