Lectures on Quantum Optics and Quantum Information

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Quantization of the electromagnetic field Modes are quantized harmonic oscillators 2 possible observables for the description: Energy or Electric field Discrete Variables Quantum bits or “qu-bits” have been introduced in this description. e.g. presence/absence of a photon in one mode, orthogonal polarization modes (H/V),… Discrete degree of freedom number of photons N=a + a (measured by photon counting) Continuous degree of freedom quadratures P and Q (fluctuations measured by homodyning, photodiodes)
Quantization of the electromagnetic field Modes are quantized harmonic oscillators 2 possible observables for the description: Energy or Electric field Discrete Variables Quantum bits or “qu-bits” have been introduced in this description. e.g. presence/absence of a photon in one mode, orthogonal polarization modes (H/V),… A convenient tool : the density matrix For a pure state: For a mixed state: Example : Discrete degree of freedom number of photons N=a + a (measured by photon counting) Continuous degree of freedom quadratures P and Q (fluctuations measured by homodyning, photodiodes) Written in the Fock basis, the density matrix is very illustrative for discrete systems.
Page 1 and 2: Lectures on Quantu
Page 3 and 4: Content of the lectures Lecture 1 I
Page 5 and 6: Lecture 1 • Light quantization, d
Page 7 and 8: Quantization of the Electromagnetic
Page 9: Two Possible Descriptions Quantizat
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-

Lectures on Quantum Optics and Quantum Information

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