About this Course
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Flexible deadlines

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Approx. 13 hours to complete

Suggested: Five weeks of study, 2-4 hours/week....

English

Subtitles: English

100% online

Start instantly and learn at your own schedule.

Flexible deadlines

Reset deadlines in accordance to your schedule.

Approx. 13 hours to complete

Suggested: Five weeks of study, 2-4 hours/week....

English

Subtitles: English

Syllabus - What you will learn from this course

Week
1
2 hours to complete

QUASI-CLASSICAL STATES OF RADIATION: SINGLE MODE CASE

11 videos (Total 96 min), 2 quizzes
11 videos
1.1 Quantum Optics formalism in a nutshell7m
1.2 Quasi-classical state: Definition and elementary properties4m
1.3 Average field. Dispersion14m
1.4 Photon number8m
1.5 Photoelectric signals: fully classical4m
1.6 Transformation on a beam splitter11m
1.7 Single mode laser: an emblematic example6m
1.8 Freely propagating beam: shot noise10m
1.9 The standard shot noise formula: photocurrent fluctuations9m
1.10 Conclusion: more than a classical macroscopic limit of quantum radiation8m
2 practice exercises
1.6 Graded quiz10m
1.10 Graded quiz2m
Week
2
1 hour to complete

MULTIMODE QUASI-CLASSICAL STATES OF RADIATION

8 videos (Total 79 min), 2 quizzes
8 videos
2.1 Multimode quantum optics in a nutshell10m
2.2 Multimode quasi-classical states: Poisson distribution of photons12m
2.3 Quasi-classical wave packet; case of less than one photon8m
2.4 Quasi-classical wave packet on a beam splitter11m
2.5 Beat note between two laser beams; heterodyne detection12m
2.6 Incoherent multimode radiation; classical vs quantum average13m
2.7 Beyond classical light4m
2 practice exercises
2.4 Graded quiz4m
2.5 Graded Quiz
Week
3
2 hours to complete

SQUEEZED LIGHT: BEATING THE STANDARD QUANTUM LIMIT

10 videos (Total 111 min), 4 quizzes
10 videos
3.1 Balanced homodyne detection12m
3.2 Quadrature components12m
3.3 Complex plane representation: quadratures, field12m
3.4 Squeezed state: definition, properties14m
3.5 Measurements below the SQL12m
3.6 Squeezing is fragile5m
3.7 Beating the SQL in a Mach-Zehnder interferometer22m
3.8 Beating the SQL in Gravitational Waves detection12m
3.9 A genuine quantum technology3m
4 practice exercises
3.5 Graded Quiz4m
3.6 Graded Quiz2m
3.7 Graded quiz7m
3.8 Graded quiz3m
Week
4
2 hours to complete

ENTANGLEMENT: A REVOLUTIONARY CONCEPT

7 videos (Total 72 min), 4 readings, 4 quizzes
7 videos
4.1 Polarized one photon wave packet: an almost ideal two-level system12m
4.2 Pairs of photons entangled in polarization16m
4.3 How to understand the EPR correlations?13m
4.4 Bell’s inequalities: the possibility to settle the debate experimentally6m
4.5 Experiments: local realism untenable12m
4.6 Conclusion. Entanglement at the root of quantum technologies of the second quantum revolution2m
4 readings
Bell 1964 paper on inequalities10m
AA 2001 Bell theorem: the naive view of an experimentalist10m
AA 2015 Closing the door10m
AA 2003 Bell foreword: the second quantum revolution10m
4 practice exercises
4.2 Graded Quiz8m
4.3 Graded Quiz8m
4.4 Graded Quiz1m
4.5 Graded Quiz2m

Instructors

Avatar

Alain Aspect

Professor
Physics
Avatar

Michel Brune

Professor
Physics

About École Polytechnique

L’École polytechnique associe recherche, enseignement et innovation au meilleur niveau scientifique et technologique mondial pour répondre aux défis du XXIe siècle. En tête des écoles d’ingénieur françaises depuis plus de 200 ans, sa formation promeut une culture d’excellence scientifique pluridisciplinaire, ouverte dans une forte tradition humaniste. ...

Frequently Asked Questions

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  • When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.

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