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This lecture delves into the application of entanglement concepts to cavity optomechanics, focusing on continuous variable systems, Gaussian states, and quantum correlations. Topics covered include NPT entanglement criterion, nonlinear witnesses, Gaussian CV states, two-mode squeezed states, and entanglement measures. The instructor provides insights on the nonlocal nature of quantum mechanics, Bell inequalities, and the relationship between entanglement and quantum correlations.