Lecturer:
Federico Fogolari (University of Udine)

Board Contact:
Federico Fogolari

This will be refined depending on the audience.

• Introduction and overview. Quantum bits qubits and multiple qubits.
• Quantum Gates. Multiple qubit Gates.
• The circuit that performs the state swap. Quantum circuits
• The problem of copying quantum states.
• Quantum teleportation. Deutsch's quantum algorithm.
• Deutsch-Josza algorithm.

• Summary of Linear Algebra - Hilbert Spaces.
• Operators, Projectors, Completeness.
• Ket representation, bra and matrix representation.
• The trace of an operator. Functions of an operator.
• Tensor products of vectors and operators.
• The postulates of quantum mechanics.
• State of a system, observables, results of a measurement, correspondence principle, correspondence rules.
• The density matrix.
• Examples. Quantum algorithms.

• Composite systems. Entanglement.
• Application: Superdense coding.
• The Einstein Podolsky Rosen problem and Bell inequalities.
• Logics and idea of Quantum and classical reality.