QUANTUM INFORMATION THEORY

A.A. di erogazione 2020/2021
Insegnamento opzionale

Laurea Magistrale in FISICA
 (A.A. 2020/2021)

Docenti

L'insegnamento è condiviso, tecnicamente "mutuato" con altri corsi di laurea, consultare il dettaglio nella sezione Mutuazioni
Anno di corso: 
1
Tipologia di insegnamento: 
Caratterizzante
Settore disciplinare: 
FISICA TEORICA, MODELLI E METODI MATEMATICI (FIS/02)
Crediti: 
6
Ciclo: 
Secondo Semestre
Ore di attivita' frontale: 
48
Dettaglio ore: 
Lezione (48 ore)

Quantum information and, more generally, quantum technology, is one of the emerging field or research. As it is known, quantum mechanics and information theory are two main achievements of the last century with enormous technological and societal impact. Today a new great opportunity arises namely to use quantum mechanics to process and transmit information. This opportunity promises exciting advances in both fundamental science and technological application.
The purpose of this course is to provide the students with the fundamental tools and concepts necessary to understand and appreciate this exciting and rapidly evolving field.
To this end it is necessary, as a first step, to illustrate how a classical computer work, its potentiality, and its limitations. Then, as a second step, it is necessary to recall and comment more deeply, some fundamental aspects of quantum mechanics. Indeed, the student is supposed to already know quantum mechanics, however some concepts (for example those related to entanglement and its consequences) must be clarified in more detail.

After these two introductory steps, the student is ready to learn the main potentiality of quantum information theory which are basically the following: how a quantum computer work and how it can be built; what are the main quantum algorithms which a quantum computer can process, how it is possible to transmit information according to quantum mechanics and finally, what are the main protocols at the base of quantum cryptography and quantum teleportation.

Good knowledge of basic quantum mechanics

The course is divided in five parts:
1- Introduction to classical computation. From Turing machine, to computational complexity and, finally, the non-obvious relation between energy and information.
2- Basic concepts of quantum mechanics with particular emphasis on entanglement, Bell inequality, etc.
3- Quantum computation. From the quantum bit to universal quantum gates. In this chapter it is shown how a system of N qubits can manipulate and process information.
4- Quantum algorithms. It describes how some basic algorithms work (Quantum search, period finding etc)
5- Quantum communication. This part begins with a short description of the main classical cryptosystems. Then quantum cryptography with the description of main quantum protocols. Finally, dense coding and quantum teleportation are described.

I provide the students with the text of my lectures. I stimulate the student’s attention and participation by frequently asking questions. This allow me to understand their level of understanding and eventually adapt my lecture. I also try, occasionally, to make some bridge with other fields of physics

Oral examination. A main point is to determine how well the student has really understood the main concepts at the basis of this new field.

G. Benenti, G. Casati, D. Rossini and G. Strini; Principles of Quantum Computation and Information. World Scientific.

For any question students are invited to contact the teacher via email:
giulio.casati@uninsubria.it

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A.A. 2020/2021

Anno di corso: 1
Curriculum: FISICA MEDICA E SPERIMENTALE
Anno di corso: 2
Curriculum: FISICA GENERALE
Anno di corso: 2
Curriculum: FISICA MEDICA E SPERIMENTALE

A.A. 2019/2020

Anno di corso: 1
Curriculum: OTTICA
Anno di corso: 1
Curriculum: FISICA GENERALE
Anno di corso: 1
Curriculum: FISICA MEDICA

A.A. 2018/2019

Anno di corso: 1
Curriculum: PERCORSO COMUNE