QUANTUM INFORMATION THEORY

Degree course: 
Corso di Second cycle degree in PHYSICS
Academic year when starting the degree: 
2023/2024
Year: 
1
Academic year in which the course will be held: 
2023/2024
Course type: 
Compulsory subjects, characteristic of the class
Credits: 
6
Period: 
Second semester
Standard lectures hours: 
48
Detail of lecture’s hours: 
Lesson (48 hours)
Requirements: 

Good knowledge of basic quantum mechanics

Final Examination: 
Orale

Oral examination to assess the level the student has reached in the understanding of the structure and the operation of a quantum computer, of the algorithms and of the information transmission that is at the basis of quantum criptography.

Assessment: 
Voto Finale

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 works 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.

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.

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Convenzionale

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

Professors

CASATI GIULIO

Borrowers