Acknowledgments.- Introduction.- I Quantum Entanglement.- Entanglement in QFT.- Entanglement entropy in CFT2.- Single interval in CFT2.- II Holography and entanglement.- Holographic entanglement entropy.-Deriving holographic entanglement proposals.- Properties of holographic entanglement entropy.- III Entanglement and quantum dynamics.- Quantum quenches and entanglement.- Entanglement in excited states.- Holographic many body systems.- Entanglement and renormalization.- IV Quantum Gravity.- Prelude: Entanglement builds Geometry.- Entanglement at large central charge.- Geometry from entanglement.- AdS/CFT and tensor networks.
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