Scheda insegnamento


L'insegnamento contribuisce al perseguimento degli Obiettivi di Sviluppo Sostenibile dell'Agenda 2030 dell'ONU.

Istruzione di qualità

Anno Accademico 2021/2022

Conoscenze e abilità da conseguire

At the end of the course, the student will become confident with the intrinsic and specific properties of states of a quantum system, acquiring knowledge about: the notion of entanglement and its manifestation through correlations existing in quantum matter; the quantum nature of light and its interaction with atoms. The student will be able to interpret some notable quantum phenomena involved in the manipulation of atoms and electromagnetic radiation, in order to study modern quantum information and computation theory.


Despite being more than a century old, many aspects of quantum mechanics still leave students puzzled because of their counter-intuitive predictions with respect to our classical experience.

Such “unusual” behaviour is due to the properties and the kind of information that “quantum states” can hold.

  • Entanglement, quantum information and quantum computation (D. Vodola - 24h)
  • Density matrices and quantum channels
  • Separable and entangled states; Schmidt decomposition, entanglement entropy
  • Notions of quantum information and computation: reversible computations and quantum circuits; basic quantum algorithms
  • Entanglement-based protocols: EPR and Bell inequalities; teleportation; quantum criptography
  • Models for quantum noise: depolarising, dephasing and amplitude-damping channels
  • Quantum states of atoms and light (P. Pieri - 24h)
  • Quantum theory of light; electromagnetic oscillator, Fock states
  • Coherent states: theory and properties, squeezed states
  • Atoms in e.m. field; dipole approximation; the Rabi and Jaynes-Cummings models
  • Some notions on macroscopic quantum-coherent phenomena: introduction to superfluidity and superconductivity; explanation of basic phenomenology in terms of macroscopic wave function; Landau criterion for superfluidity
  • BEC with ultracold gases


Notes available on-line in the university repository.

More specific references might be suggested during lectures.

Metodi didattici

Lectures in class at the blackboard and/or slides

Modalità di verifica e valutazione dell'apprendimento

Oral exam.

It consists of (at least) two questions, one for each part of the program.

Students should demonstrate to be familiar and have a good understanding of the different subjects.

They will be asked to both present an introduction to the main general topics and to prove more specific results, making connections among the different parts of the syllabus.

The organization of the presentation and a rigorous scientific language will be also considered for the formulation of the final grade.

The “cum laude” honor will be granted to students who demonstrate a personal and critical rethinking of the subject.

According to the general rules of the University, students will be allowed to reject the grade only once, but they can withdraw at any time during the exam.

Strumenti a supporto della didattica

Most of the material is available on-line in the university repository.

Orario di ricevimento

Consulta il sito web di Pierbiagio Pieri

Consulta il sito web di Davide Vodola