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Quantum Measurements and Optomechanics
Last Updated: 2026-06-01 11:31:03
Abstract
The measurement process is at the heart of both science and engineering. Measurement precision is ultimately limited by the laws of quantum mechanics. This course provides the knowledge necessary to understand current state-of-the-art quantum measurement systems operating at their fundamental limits with a particular focus on optomechanical implementations.
Objective
The goal of this course is to understand the quantum limits of measurement precision together with a formal description of the measurement process in the framework of quantum mechanics.
Content
The lecture starts with summarizing the relevant fundamentals of the treatment of noisy signals. We familiarize ourselves with the concept of measurement imprecision in light-based measurement systems. To this end, we consider the process of photodetection and discuss the statistical fluctuations arising from the quantization of the electromagnetic field into photons. We exemplify our insights at hand of concrete examples, such as homodyne and heterodyne photodetection. Furthermore, we focus on the process of measurement backaction, the inevitable result of the interaction of the probe with the system under investigation. We discuss the “standard quantum limit” as it arises from the balance of measurement imprecision and backaction, before turning to approaches to overcome it and reach the fundamental “Heisenberg limit”. The course emphasizes the connection between the taught concepts and current state-of-the-art research carried out in the field of optomechanics. Exercises serve to consolidate our understanding and insight.
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- graded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Quantum Measurements and Optomechanics
Previously named Electromagnetic Precision Measurements and Opto-Mechanics (until HS23)
|
|
2 h weekly |
| exercise |
Quantum Measurements and Optomechanics
Previously named Electromagnetic Precision Measurements and Opto-Mechanics (until HS23)
|
|
2 h weekly |
Offered In
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Vertiefung: Electronics and Photonics (The core courses and specialisation courses below are a selection for students who wish to specialise in the area of "Electronics and Photonics", see . The individual study plan is subject to the tutor's approval.)
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Vertiefungsfächer (These specialisation courses are particularly recommended for the area of "Electronics and Photonics", but you are free to choose courses from any other field in agreement with your tutor. Semester / Research Projects are not allowed in this category. A minimum of 40 credits must be obtained from specialisation courses during the Master's Programme.)
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Allgemeine Wahlfächer (Den Studierenden steht das gesamte Lehrangebot der ETH Zürich zur individuellen Auswahl offen - mit folgenden Einschränkungen: Lehrveranstaltungen aus den ersten beiden Studienjahren eines Bachelor-Curriculums der ETH Zürich sowie Lehrveranstaltungen aus GESS "Wissenschaft im Kontext" sind nicht als allgemeines Wahlfach anrechenbar. Die Dozierenden folgender Lehrveranstaltungen empfehlen sie ausdrücklich den Studierenden der Physik. (Für die Lehrveranstaltungen in dieser Liste können Sie die Kategorie "Allgemeine Wahlfächer" direkt in myStudies zuordnen. Für die Kategoriezuordnung anderer zugelassener Lehrveranstaltungen lassen Sie bei der Prüfungsanmeldung "keine Kategorie" ausgewählt und wenden Sie sich nach dem Verfügen des Prüfungsresultates an das Studiensekretariat ( ).))
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Wahlfächer (This is a selection of courses particularly suitable for the MSc QE. In agreement with the tutor, students may choose other courses from the ETH course catalogue.)
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