This module explains: 

• Photons and Atoms - black-body radiation, photoelectric effect
• Schrodinger equation
• Harmonic oscillator
• Hydrogen atom
• Atomic qubits
• Photonic qubits
• Quantum dots
• Superconducting qubits

Understanding of quantum communication, security, and real-world implementations. This module explains: 

• Invitation to quantum cryptography – compromising RSA, postquantum and quantum solutions, towards infrastructure and quantum cybersecurity 
• Photons and polarisations – filters, vectors, scalar product, probabilities, superposition, BB84 basics
• Quantum framework – vector spaces, Dirac's bracket formalism, orthonormal basis, Born's rule, qubit, Bloch sphere, the act of measurement, quantum uncertainty, security of BB84 
• Quantum key distribution – hardware requirements, decoherences and losses, QBER, key extraction, demonstrations
• Manipulating photons – state transformations, Schrodinger equation, unitary gates, no-cloning theorem, waveplates
• Photon pairs – two qubits, quantum entanglement, Bell state measurement, BBM92 QKD protocol 
• Entanglement-based communication protocols – superdense coding, quantum teleportation
• Long-distance quantum links – quantum channels and their limitations, trusted nodes, satellite nodes, entanglement-swapping, concept of quantum repeater, quantum memory
• Quantum-based privacy – multi-partite protocols, Byzantine agreement,  quantum voting,  
• Quantum network outlook – quantum based security layer, connecting quantum computers and sensors, current status of quantum communication infrastructures, quantum network simulators

Learn how quantum programs work and how to use available quantum computers This module explains: 

• Invitation to quantum computing – simulation of quantum systems, quantum simulators, complexity reduction, qubits, quantum superposition and paralelism, existing quantum computing platforms - hardwares and softwares
• Quantum framework – vector spaces, Dirac's bracket formalism, orthonormal basis, Born's rule, qubit, Bloch sphere, the act of measurement, computational basis, quantum uncertainty
• Quantum gates – Schrodinger equation, unitary transformations, qubit gates 
• Two-qubit quantum gates – controlled NOT gate, SWAP gate, preparation of entangled state, no-cloning theorem, gate decomposition, gate decomposition, approximate universality
• Qubit realizations – gate fidelities, photonic qubits, atomic qubits, superconducting infrastructures
• Quantum circuit model – quantum algorithms for classical problems, universality of quantum computation, quantum speed-up,, optimal cloner
• Qiskit – quantum programming simulator, NISQ quantum computing platforms, quantum teleportation circuit
• Deutch-Jozsa algorithm – detailed explanation, exponential speedup
• Shor’s algorithm – circuit for quantum Fourier transform
• Decoherence and error-correction – source of decoherence, error correction, error-mitigation, benchmarking