# Introduction to quantum science and technology

QUANT-400 / **5 credits**

**Teacher(s): ** Carleo Giuseppe, Charbon Edoardo, Ionescu Mihai Adrian, Macris Nicolas, Scarlino Pasquale

**Language:** English

## Summary

A broad view of the diverse aspects of the field is provided: quantum physics, communication, quantum computation, simulation of physical systems, physics of qubit platforms, hardware technologies. Students will grasp the field as a whole and better orient themselves on specialized topics.

## Content

** **

**Introduction*** (2 weeks)*:

- Overview of the frontiers of quantum science, technology and applications.
- Introduction to qubits, quantum states, measurements, evolution. Axiomatic formulation.
- Illustration with two level systems, Bloch sphere, Spin, its manipulation in magnetic fields. Heisenberg and spin Hamiltonians, elementary gates. Coherence times.

* *

**Communication, information and computation (5 weeks)**

- Quantum communication: QKD, dense coding, teleportation.
- Circuit model of computation.
- Introduction to algorithms
- Quantum simulation of physical systems (e.g. VQE, hybrid quantum-classical approaches)

**Physics of qubit platforms (3 weeks): **

- Introduction to qubit platforms
- superconducting qubits
- trapped ions, spin qubits (time permitting)

** **

**Hardware technologies and applications (4 weeks): **

- Single electron transistors (SET) and fabrication technologies
- Single electron memories (SEM)
- Hybrid CMOS-SET for analog and sensing functions at cryogenic temperatures

- The quantum stack, Quantum-classical interfaces
- From fidelity to electronic circuit specifications
- Cryogenic electronics to control quantum systems

** **

## Keywords

quantum bit, qubit, quantum information, quantum computation, algorithms, spin, quantum sensing, metrology, NISQ devices, cryogenic electronics, quantum-classical interface.

## Learning Prerequisites

## Required courses

- Linear Algebra
- Elementary physics classes

## Learning Outcomes

By the end of the course, the student must be able to:

- Describe various frontier topics in quantum science and technology.
- Illustrate quantum principles for simple systems
- Recognize quantum computation models
- Explain the simplest primitive communication protocols
- Present current hardware technologies and their applications
- Design electronics for quantum systems

## Teaching methods

- Ex-cathedra lectures
- Exercices session

## Assessment methods

- Written exam

## Supervision

Assistants | Yes |

Forum | Yes |

## Resources

## Bibliography

- The physics of information technology / Gershenfeld
- Quantum computation and quantum information / Nielsen and Chuang
- Quantum computer science: an introduction /Mermin
- Bharti, K., et al., 2022. Noisy intermediate-scale quantum algorithms. Rev. Mod. Phys. 94, 015004.

## Ressources en bibliothèque

## Prerequisite for

Classes in Quantum Science and Engineering

## In the programs

**Semester:**Fall**Exam form:**Written (winter session)**Subject examined:**Introduction to quantum science and technology**Lecture:**3 Hour(s) per week x 14 weeks**Exercises:**1 Hour(s) per week x 14 weeks**Type:**optional

**Semester:**Fall**Exam form:**Written (winter session)**Subject examined:**Introduction to quantum science and technology**Lecture:**3 Hour(s) per week x 14 weeks**Exercises:**1 Hour(s) per week x 14 weeks**Type:**optional

**Semester:**Fall**Exam form:**Written (winter session)**Subject examined:**Introduction to quantum science and technology**Lecture:**3 Hour(s) per week x 14 weeks**Exercises:**1 Hour(s) per week x 14 weeks**Type:**optional

**Semester:**Fall**Exam form:**Written (winter session)**Subject examined:**Introduction to quantum science and technology**Lecture:**3 Hour(s) per week x 14 weeks**Exercises:**1 Hour(s) per week x 14 weeks**Type:**optional

**Semester:**Fall**Exam form:**Written (winter session)**Subject examined:**Introduction to quantum science and technology**Lecture:**3 Hour(s) per week x 14 weeks**Exercises:**1 Hour(s) per week x 14 weeks**Type:**optional