Lectures on Quantum Optics and Quantum Information

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What Are We Speaking About ? An introductive example : noise in a light beam Light Detector Scope Range In this lecture, we will focus on information carried by travelling light fields and we wil be interested in the quantum mechanical nature of light. In the limit of unity quantum efficiency and no electric noise, the measured fluctuations are only due to the noise of the light: it can be classical noise (e.g. 1/f noise) or quantum noise (e.g. shot noise).
Quantization of the Electromagnetic Field We are not going to detail the quantization procedure for the free electromagnetic field, but give here the basic steps and analogies, which enable to introduce useful notations. More details can be found for instance in ”Introduction to QO”. • Maxwell equations in vacuum (no charges, no currents) • Give the Helmholtz equation for the E field: • Classical Plane wave decomposition (l: 2 polarizations, k: wave vector) • By injecting this decomposition into the Helmholtz equation :
Page 1 and 2: Lectures on Quantu
Page 3 and 4: Content of the lectures Lecture 1 I
Page 5: Lecture 1 • Light quantization, d
Page 9 and 10: Two Possible Descriptions Quantizat
Page 11 and 12: Quantization of the electromagnetic
Page 13 and 14: Quantum Continuous-Variables Quanti
Page 15 and 16: Q A Q Quantum Continuous-Variables
Page 17 and 18: Quantum Continuous-Variables Quanti
Page 19 and 20: Measuring Optical Continuous-Variab
Page 21 and 22: Measuring Optical Continuous-Variab
Page 23 and 24: The Wigner Function For continuous-
Page 25 and 26: The Wigner Function: Function: Nega
Page 27 and 28: Interlude: CV for Atomic Ensembles
Page 29 and 30: Lecture 1 • Light quantization, d
Page 31 and 32: How to Generate Squeezed Light ? Sq
Page 33 and 34: CW Parametric Amplification in a Ca
Page 35 and 36: CW Parametric Amplification in a Ca
Page 37 and 38: Effect of Losses on Squeezed Light
Page 39 and 40: Effect of Losses on Squeezed Light
Page 41 and 42: Classical Correlations of Light Bea
Page 43 and 44: « One Quadrature » Criteria Two b
Page 45 and 46: Quantum Intensity Correlations With
Page 47 and 48: « Two Quadratures » Criteria A do
Page 49 and 50: « Two Quadratures » Criteria A do
Page 51 and 52: How to Generate CV Entanglement ? E
Page 53 and 54: How to Generate CV Entanglement ? W
Page 55 and 56: Quantum Teleportation 1- Measuremen
Page 57 and 58:
Multimode Entanglement : Cluster St
Page 59 and 60:
A last Level of Correlations : Non-
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Lectures on Quantum Optics and Quantum Information

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