Master M2 QLMN

Revision week: approximation methods in quantum physics

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Course on Physics of Quantum Information
(Fall 2026, Thomas Ayral and Antoine Browaeys)

Syllabus

Lecture 1 – Introduction. Review of quantum physics: notes, slides.
Homework 1 (due sept. 18th): problems A.1 & A.2 at the end of the Lecture 1 notes (in particular problem A.2 will be needed to understand part of Lecture 2) – Solution HW1

Lecture 2 – Two-level systems and harmonic oscillators: notes, slides.
Homework 2 (due sept. 25th): questions – Solution HW2

Lecture 3 – Entanglement 1: notes, slides.
Homework 3 (due Oct. 2nd): Problems A.1, A2 & A.3 at the end of the Lecture 3 notes – Solution HW3
An article on Recent experimental tests: closing loopholes.
A. Aspect: technical introduction to Bell’s theorem.
Link towards the Nobel prize in physics 2022.
An interview (in french) of A. Aspect.

Lecture 4 – Entanglement 2: notes, slides.
Homework 4 (due october 9th): Problems A1 & A2 from notes – Solution HW4

Lecture 5 – Measurement in quantum physics: notes, slides.
Homework 5 (due october 23rd): Exercises A and B at the end of lecture notes

Lecture 6 – Open Quantum Systems I: notes, slides
Reminder: HW5 due oct. 24th (exo A&B lecture notes 5) – Solution HW5

Lecture 7 – Open Quantum Systems II: notes
Homework 6: Problems A1, A2 and A3 (due november 06th) – Solution HW6

Lecture 8 – Stochastic wave functions: notes; Decoherence and the classical world: notes.
The article on the stochastic wavefunction approach by Dalibard, Castin and Moelmer

Lecture 9 – Recap of the course: notes

Exam will be held december 04th 2026 from 9-12am. You are allowed 4 hand written pages. NO CALCULATOR. No tablet or smartphone. As examples of exams, look at the 2021 (solution), 2022 (solution), 2023 (solution), and 2024 (solution) sessions.

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Course on Experimental Quantum Computing and Error Correction
(Winter 2025-26, Antoine Browaeys, Pascal Scholl, François-Marie Le Régent)

Syllabus

Lecture 1 (07/12/2025) – Introduction and overview of the course: notes, slides
Homework 1 (due dec. 17th): exercises 2,4 8,9, 12-15 of the notes. Solutions of exercices for Lecture 1

Lecture 2 (14/12/2025) – Atomic qubits: Neutral atoms and Ions. Notes, slides.
Homework 2 (due January 7th): exercises of the notes. Solutions of exercices Lecture 2

Lecture 3 (14/01/2026) – Optical qubits: Notes, slides. Spin qubits: Notes.
Homework 3 (due january 21st): Exercises 1, 2,4, 5, 7 & 9 of notes on optical qubits. Solutions of exercices for Lecture 3.

Lecture 4 (21/01/2026) – Superconducting qubits. Notes, slides.
Homework 4 (due January 29th): exercices 3, 9, 11, 16, 18 of the notes. Solutions are in the notes.

Lecture 5 (28/01/2026) – Quantum Algorithms 1: Shor. Notes, slides.
An interesting link about the factorization of 21 from a world leader in the field.
Homework 5 (due February 4th): Read the following paper on Experimental Implementation of Fast Quantum Searching. This paper will be the basics of the discussion of the Grover search algorithm next week.

Please bring a PC if you have one for next lecture. We will try to play with Qiskit to explore Grover’s algorithm.

Lecture 6 (04/02/2026) – Quantum Algorithms 2: Search algorithms and resource estimates. Notes, slides.
Homework 7: read the paper on the 2021 demonstration of quantum error correction with superconducting circuits from Google.

Lecture 7 (11/02/2026) – Quantum error correction: Notes,slides.

Lecture 8 (18/02/2026) – Fault-tolerant architectures: Notes, slides.

For the exam, you have to read the paper on the implementation of the Jozsa algorithm with ions. You will be asked questions on this paper.

Exam 25/02/2026 (written). Documents allowed: printed and personal notes. No tablet, no smartphones, no calculators.