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Program, courses and calendar Master ICFP 1st year (2023-2024)
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Program, courses and calendar Master ICFP 1st year (2022-2023)
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Program, courses and calendar Master ICFP 2nd year 2022-2023
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Program, courses and calendar Master ICFP 1st year (2021-2022)
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Archives 2015-2016
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Program, courses and calendar 2022 - 2023
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2023 - 2024
2022-2023 Timetable and calendar
Courses
Internships
Program, courses and calendar 2021 - 2022
2021-2022 Timetable and calendar
Courses
Internships
Admissions
Recrutement sur concours
Recrutement sur dossier : Concours normalien étudiant
Contacts
Seminars
Seminars
2023-2024 FIP/ICFP seminar Program
Undergraduate program Intranet
Archives
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
Archives 2019-2020
Archives 2020-2021
Why choose this program?
Program, courses and calendar Master ICFP 1st year (2023-2024)
2023-2024 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 1st year (2022-2023)
2022-2023 Calendar and timetable
Courses
Internships
Program, courses and calendar Master ICFP 2nd year 2023-2024
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2023/2024
"Physics Now" Seminars 2022/2023
Internships
2023 2024 calendar
Program, courses and calendar Master ICFP 2nd year 2022-2023
First Semester
Second Semester
"Physics Now" Seminars 2019/2020
"Physics Now" Seminars 2020/2021
"Physics Now" Seminars 2021/2022
"Physics Now" Seminars 2022/2023
Internships
2022 2023 calendar
Admission and Language Requirements
How to apply
Information for students
Information for International Students
Fees and Scholarships
Careers
Master Intranet
Archives
Erreur ( A supprimer)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 1st year (2021-2022)
Program, courses and calendar Master ICFP 2nd year 2021-2022
Program, courses and calendar Master ICFP 2nd year 2020-2021
Program, courses and calendar Master ICFP 2nd year 2019-2020
Archives 2015-2016
Archives 2016-2017
Archives 2017-2018
Archives 2018-2019
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Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
Faculty: C. Fabre
Tutor: S. Nascimbène
ECTS credits: 3
Language of instruction: English
Web site:
The 2012 Nobel prize has been awarded to S. Haroche and D. Wineland “for ground breaking experimental methods that enable measuring and manipulation of individual quantum systems”. The aim of this course is to present the tools and physical concepts that enable to better understand and describe such situations. It shows how to optimally characterize the quantum state of any open quantum system and any realistic, non-ideal, measurement devices. It will also study the general evolution of a quantum state submitted to interactions, relaxation and measurement, as well as the quantum correlations and entanglement in bipartite systems, allowing to generate in a conditional way post-selected quantum states. It will finally consider the quantum limits to physical measurements. The lectures will be illustrated by recent experimental examples.
1) Experimental introduction.
2) The density matrix: a general description of quantum systems.
3) Non ideal measurements on a quantum state, description by Probability Operators of Measurement (POVM); examples.
4) Successive measurements and correlations; Bayes approach of conditional probability.
5) General quantum evolution of systems in terms of quantum maps: Kraus operators, evolution of quantum coherence, evolution of a small system coupled to a large one. Relaxation and decoherence.
6) The measurement as a physical evolution of the system; Zurek’s model.
7) Bipartite systems: correlations, entanglement and separability; Einstein Podolsky Rosen paradox. Conditional preparation of a quantum state by post-selection; quantum teleportation; example of quantum computing.
8) Accuracy and uncertainty in measurements. Heisenberg-Osawa inequality for the perturbation of a system by the measurement. Cramer-Rao bound for the estimation of physical quantities.
M1-ICFP-Fabre-Biblio.pdf
Next student seminar :
Access to the program
Here you can find information about your internships:
Experimental Internship - Undergraduate program
Master ICFP first year Internship
News : ICFP Research seminars
November 14 - 18, 2022 :
All information about the program
Contact us - Student support and Graduate School office :
Tél : 01 44 32 35 60
enseignement@phys.ens.fr
RECRUITMENT DIRECT ACCESS
The Department of Physics