# Introduction to quantum science and technology

QUANT-400 / **5 credits**

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

**Language:** English

## Summary

This course provides all students with a broad view of the diverse aspects of the field: quantum physics, communication, computation, simulation, quantum hardware technologies, quantum sensing and metrology. The course will be an overview of frontiers of the domain and taught by multiple instructors

## Content

** **

* Introduction (2 weeks)*:

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

* *

**Communication, information and computation (4 weeks)**

- Quantum communication: QKD, dense coding, teleportation.
- Circuit model of computation. Illustration with simple algorithms: Deutsch-Josza, Simon.
- Distributed models and protocols for computation.
- Introduction to

**Quantum physics: selected topics (4 weeks): **

- Hybrid quantum-classical algorithms (e.g. VQE, quantum ML, QAOA)
- Quantum simulation of physical systems (overview of exact and variational quantum algorithms)
- Introduction to qubit platforms (superconducting qubits, trapped ions, spin qubits).

** **

**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
- Quantum sensing & metrology

** **

## 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

## 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

**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