Introduction (2 weeks):

• Overview of the frontiers of quantum science, technology and applications.
• First introduction to qubits, quantum states, measurements, evolution. Axiomatic formulation.
• Illustration with two level systems, Bloch sphere, Spin Âœ, and manipulation in magnetic fields. Heisenberg and spin Hamiltonians and elementary gates. Coherence times.

Communication, information and computation (4 weeks)

• Quantum communication: QKD, dense coding, teleportation.
• Circuit model of computation. Illustration with simple algorithms: Deutsch-Josza, Simon.
• Distributed models and protocols for computation.
• Introduction to quantum complexity theory (BQP, QMA, Kitaev’s theorem)

Quantum physics: selected topics (4 weeks):

• Hybrid quantum-classical algorithms (e.g. VQE, quantum ML, QAOA)
• Quantum simulation of physical systems (overview of exact and variational quantum algorithms)
• Introduction to qubit platforms (superconducting qubits, trapped ions, spin qubits).

Hardware technologies and applications (4 weeks):

• Single electron transistors (SET) and fabrication technologies
• Single electron memories (SEM)
• Hybrid CMOS-SET for analog and sensing functions at cryogenic temperatures

• The quantum stack, Quantum-classical interfaces
• From fidelity to electronic circuit specifications
• Cryogenic electronics to control quantum systems
• Quantum sensing & metrology