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LACES 2020 Lezioni Avanzate di Campi E Stringhe Galileo Galilei Institute for Theoretical Physics, Arcetri Italy November, 30th - December, 18th |
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Home | Registration | Participants | Lectures | Schedule | Videos | Contacts |
Holography and Quantum Information Alice Bernamonti - University of Florence Jan de Boer - University of Amsterdam |
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Syllabus
PART I 1. From D-branes to the AdS/CFT correspondence 2. Background material: Anti de Sitter spacetime and conformal field theory 3. Holographic dictionary: IR/UV connection, field/operator correspondence, holographic correlation functions, eternal black hole and thermofield double state PART II 1. Some basic notions from quantum information theory such as entanglement entropy and relative entropy, and some of their properties 2. Entanglement entropy in quantum field theory: divergences, Rindler space, modular Hamiltonians, c-theorem 3. Entanglement and holography, the Ryu-Takayanagi formula 4. Applications to strongly coupled field theories and quantum gravity, the information paradox References - M. Ammon, J. Erdmenger, "Gauge/gravity duality", Cambridge University Press - E. Kiritsis, "String theory in a nutshell", Princeton University Press - M. Rangamani, T. Takayanagi, "Holographic Entanglement Entropy", Springer - I. Chuang and M. Nielsen, "Quantum Computation and Quantum Information", Cambridge University Press - Tom Hartman's notes here (esp note 18-21) - Daniel Harlow, Jerusalem Lectures on Black Holes and Quantum Information, arXiv 1409.1231 (more advanced than the lectures but great lectures notes in case you want to learn more) - Edward Witten, Notes On Some Entanglement Properties Of Quantum Field Theory, arXiv 1803.04993 (more advanced than the lectures but great lectures notes in case you want to learn more) | ||
Material | ||
Notes on holographic two-point functions | ||
Exercises | ||
Organisers: Alice Bernamonti Davide Cassani Carlo Maccaferri Sara Pasquetti |
Secretary: Annalisa Anichini Alessandra GentiliMauro Morandini Housing: Mirella Ridi Computer assistance: Alessio Attardi |
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