Lectures on Quantum Optics and Quantum Information

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Measuring Optical Continuous-Variables THE tool : Homodyne detection Quantum state What we obtain ? Example of a squeezed state Photocurrent Quantum state Phase 50/50 Photocurrent subtraction Local oscillator Adjustable Phase Local oscillator - Overall Efficiency - Photodiode efficiency Interference Visibility V tot = .V2 (ex: 0.99 x 0.992 =0.97) Probability distribution P (X, ) Variance TF : Noise spectrum
The Wigner Function For continuous-variable, the density matrix is useful, but not easy to interpret. Another tool : the Wigner function, which is a quasi-probability distribution. Marginal distributions for (what is measured with homodyne detection) are obtained by projection of the Wigner function on the axis defined by , i.e. by integrating it over the orthogonal direction. Importantly, one can also obtain and W from the marginal distributions : this is the goal of tomography. It requires to use reconstruction algorithm, such as Radon transform or Maximum-likelihood algorithm. [see A.Lvovsky, RMP 81, 299 (2009)] Wigner function and some projections for a squeezed state From A. Ourjoumtsev PhD Thesis
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 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: Measuring Optical Continuous-Variab
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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