Major - Quantum, Mathematics, Computer Science (QMI)
| Program | Computer Science |
| Track | Foundations of computer science, Operations research, Distributed computing, and Quantum computing (FODQ) |
| ECTS Credits | 120 |
| Language | English |
| Orientation | Research |
| Location | Palaiseau Campus |
| Course duration | 2 Years, full time |
| Course start | September |
| Degree awarded | Master's degree |
WHY ENROLL IN THIS PROGRAM?
Asset n°1
Prepare to contribute to a highly dynamic and promising research field, in academia or in the industry
Asset n°2
Follow a curriculum with a unique breadth in themes, comprising courses from quantum cryptography to quantum error correction codes
Asset n°3
Learn about a fascinatig subject, using beautiful mathematics
Everywhere in the world, quantum technologies are now reaching maturity, heralding groundbreaking transformations in the way we compute, communicate, encrypt, and simulate. That prospect comes with extraordinary challenges, and overcoming them will require passionate scientists with an in-depth knowledge of quantum theory. Now is a unique time to be part of that quantum revolution as it unfolds.
The QMI program will equip you with everything you need to work on the theoretical, mathematical, and computer science-related aspects of the quantum revolution. Our courses, unique in diversity and depth, tackle every aspect of this rapidly evolving field, from quantum cryptography to error correction codes, and bring you all the way to the state of the art.
The program will also put you in contact with the major industrial players in quantum technologies, in the highly dynamic Saclay environment and beyond. At the end of the year, you will be able to work in the quantum industry as well as in academia.
More information is available on the QMI Website.
Objectives
This QMI program allows students to:
- Follow a comprehensive training, that gets them up to speed in the various aspects of quantum technologies
- Master cutting-edge mathematical tools for the study and use of quantum information
- Get in contact with academic and industrial quantum labs
- Prepare to work as a researcher in academia or in the industry
Quantum technologies are currently a highly dynamic field, with many career opportunities in the industry as well as in fundamental research. The Saclay plateau and the Paris region are a world-class hotspot for quantum research, with several important startups and corporate labs (Quandela, Pasqal, Alice&Bob, IBM, ...). In France and abroad, these industrial players are in considerable need for trained experts in quantum theory.
With a QMI degree, you will be able to pursue with a PhD in fundamental research, to do a PhD with an industrial partner (thèse Cifre), or to directly pursue in the industry.
Overview
The QMI program offers courses covering all of the theoretical aspects of quantum computing and quantum technologies, a unique curriculum in terms of breadth. The second year program also includes crash courses in Quantum Information in September (for students with no quantum background).
Validation: In order to obtain their degree, students must validate during the first year 40 ECTS in courses, and the internship's 20 ECTS, and during the second year 30 ECTS in courses, and the internship's 30 ECTS.
| Course title | Hours / ECTS / Language |
| Introduction to quantum information and computing | 36h / 5 / English |
| Advanced Algorithmics | 36h / 5 / English |
| Computational Logic: from Artificial Intelligence to Zero Bugs | 36h / 5 / English |
| Deep learning | 36h / 5 / English |
| Introduction to Cryptology | 36h / 5 / English |
| Computer architecture and operating systems | 36h / 5 / English |
| Introduction to Information Theory | 36h / 5 / English |
| Distributed Data Structures, with a Spotlight on Blockchains | 36h / 5 / English |
| Finite algebraic structures | 18h / 2,5 / English |
| Algorithms for algebra | 18h / 2,5 / English |
| Course title | Hours / ECTS / Language |
| Advanced topics in quantum computation and information | 36h / 5 / English |
| Quantum Diagrams and Programs | 36h / 5 / English |
| Mathematical modelling of quantum computers | 36h / 5 / English |
| Quantum information: entanglement, control and platforms for quantum technologies | 36h / 5 / English |
| Parallel and Distributed Algorithms | 36h / 5 / English |
| Compilation | 36h / 5 / English |
| Advanced Cryptology | 36h / 5 / English |
| Introduction to algebraic curves | 18h / 2,5 / English |
| Algorithms for arithmetic | 18h / 2,5 / English |
| Course title | Hours / ECTS / Language |
| Research internship | -- / 20 / -- |
| Course title | Hours / ECTS / Language |
| ZX-Calculus | 24h / 2,5 ECTS / English |
| Quantum Shannon theory: entropy, entanglement, communication | 24h / 2,5 ECTS / English |
| Tensor Computations | 24h / 2,5 ECTS / English |
| What is quantum good for? Unifications of quantum algorithms | 24h / 2,5 ECTS / English |
| Quantum complexity theory and proofs of advantage | 24h / 2,5 ECTS / English |
| Quantum Hardware for theorists | 24h / 2,5 ECTS / English |
| Quantum Technology Industry Seminar | 24h / — / English |
| Quantum Compilation | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Quantum Machine Learning Engineering | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Quantum Error Correction | 24h / 2,5 ECTS / English |
| Quantum structures: processes, axioms, causality | 24h / 2,5 ECTS / English |
| Quantum non-locality and its applications | 24h / 2,5 ECTS / English |
| Convex optimisation for quantum theorists | 24h / 2,5 ECTS / English |
| Quantum-Safe Cryptography | 24h / 2,5 ECTS / English |
| Complex quantum systems: learning and simulation | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Research internship | -- / 30 / -- |
Admission requirements
Academic prerequisites
- Bachelor in Mathematics, Computer Science, Physics, or a related field, in France or abroad. To apply directly to the Master's second year, it is necessary to have followed a first year of master's or an equivalent degree.
Language prerequisites
- English (B2 level)
How to apply
Applications can be submitted exclusively online. You will need to provide the following documents:
- your CV;
- a motivation letter;
- your transcripts from previous years;
- if available, a scientific report you recently wrote (for instance following a Bachelor thesis, a research internship, etc.)
The CV should include the names of two researchers that we can contact for further reference.
Fees and scholarships
QMI is a "national" master's programs; the corresponding fees apply.
Registration fees are available here
Find out more about scholarships
Applications and admission dates
Coordinators
Master Year 1: Titouan Carette
Master Year 2: Augustin Vanrietvelde
Student affairs office
General enquiries
Everywhere in the world, quantum technologies are now reaching maturity, heralding groundbreaking transformations in the way we compute, communicate, encrypt, and simulate. That prospect comes with extraordinary challenges, and overcoming them will require passionate scientists with an in-depth knowledge of quantum theory. Now is a unique time to be part of that quantum revolution as it unfolds.
The QMI program will equip you with everything you need to work on the theoretical, mathematical, and computer science-related aspects of the quantum revolution. Our courses, unique in diversity and depth, tackle every aspect of this rapidly evolving field, from quantum cryptography to error correction codes, and bring you all the way to the state of the art.
The program will also put you in contact with the major industrial players in quantum technologies, in the highly dynamic Saclay environment and beyond. At the end of the year, you will be able to work in the quantum industry as well as in academia.
More information is available on the QMI Website.
Objectives
This QMI program allows students to:
- Follow a comprehensive training, that gets them up to speed in the various aspects of quantum technologies
- Master cutting-edge mathematical tools for the study and use of quantum information
- Get in contact with academic and industrial quantum labs
- Prepare to work as a researcher in academia or in the industry
Quantum technologies are currently a highly dynamic field, with many career opportunities in the industry as well as in fundamental research. The Saclay plateau and the Paris region are a world-class hotspot for quantum research, with several important startups and corporate labs (Quandela, Pasqal, Alice&Bob, IBM, ...). In France and abroad, these industrial players are in considerable need for trained experts in quantum theory.
With a QMI degree, you will be able to pursue with a PhD in fundamental research, to do a PhD with an industrial partner (thèse Cifre), or to directly pursue in the industry.
Overview
The QMI program offers courses covering all of the theoretical aspects of quantum computing and quantum technologies, a unique curriculum in terms of breadth. The second year program also includes crash courses in Quantum Information in September (for students with no quantum background).
Validation: In order to obtain their degree, students must validate during the first year 40 ECTS in courses, and the internship's 20 ECTS, and during the second year 30 ECTS in courses, and the internship's 30 ECTS.
| Course title | Hours / ECTS / Language |
| Introduction to quantum information and computing | 36h / 5 / English |
| Advanced Algorithmics | 36h / 5 / English |
| Computational Logic: from Artificial Intelligence to Zero Bugs | 36h / 5 / English |
| Deep learning | 36h / 5 / English |
| Introduction to Cryptology | 36h / 5 / English |
| Computer architecture and operating systems | 36h / 5 / English |
| Introduction to Information Theory | 36h / 5 / English |
| Distributed Data Structures, with a Spotlight on Blockchains | 36h / 5 / English |
| Finite algebraic structures | 18h / 2,5 / English |
| Algorithms for algebra | 18h / 2,5 / English |
| Course title | Hours / ECTS / Language |
| Advanced topics in quantum computation and information | 36h / 5 / English |
| Quantum Diagrams and Programs | 36h / 5 / English |
| Mathematical modelling of quantum computers | 36h / 5 / English |
| Quantum information: entanglement, control and platforms for quantum technologies | 36h / 5 / English |
| Parallel and Distributed Algorithms | 36h / 5 / English |
| Compilation | 36h / 5 / English |
| Advanced Cryptology | 36h / 5 / English |
| Introduction to algebraic curves | 18h / 2,5 / English |
| Algorithms for arithmetic | 18h / 2,5 / English |
| Course title | Hours / ECTS / Language |
| Research internship | -- / 20 / -- |
| Course title | Hours / ECTS / Language |
| ZX-Calculus | 24h / 2,5 ECTS / English |
| Quantum Shannon theory: entropy, entanglement, communication | 24h / 2,5 ECTS / English |
| Tensor Computations | 24h / 2,5 ECTS / English |
| What is quantum good for? Unifications of quantum algorithms | 24h / 2,5 ECTS / English |
| Quantum complexity theory and proofs of advantage | 24h / 2,5 ECTS / English |
| Quantum Hardware for theorists | 24h / 2,5 ECTS / English |
| Quantum Technology Industry Seminar | 24h / — / English |
| Quantum Compilation | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Quantum Machine Learning Engineering | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Quantum Error Correction | 24h / 2,5 ECTS / English |
| Quantum structures: processes, axioms, causality | 24h / 2,5 ECTS / English |
| Quantum non-locality and its applications | 24h / 2,5 ECTS / English |
| Convex optimisation for quantum theorists | 24h / 2,5 ECTS / English |
| Quantum-Safe Cryptography | 24h / 2,5 ECTS / English |
| Complex quantum systems: learning and simulation | 24h / 2,5 ECTS / English |
| Course title | Hours / ECTS / Language |
| Research internship | -- / 30 / -- |
Admission requirements
Academic prerequisites
- Bachelor in Mathematics, Computer Science, Physics, or a related field, in France or abroad. To apply directly to the Master's second year, it is necessary to have followed a first year of master's or an equivalent degree.
Language prerequisites
- English (B2 level)
How to apply
Applications can be submitted exclusively online. You will need to provide the following documents:
- your CV;
- a motivation letter;
- your transcripts from previous years;
- if available, a scientific report you recently wrote (for instance following a Bachelor thesis, a research internship, etc.)
The CV should include the names of two researchers that we can contact for further reference.
Fees and scholarships
QMI is a "national" master's programs; the corresponding fees apply.
Registration fees are available here
Find out more about scholarships
Applications and admission dates
Coordinators
Master Year 1: Titouan Carette
Master Year 2: Augustin Vanrietvelde
Student affairs office
General enquiries