Holography and Quantum Information Theory: Complexity and T T Deformation, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor) ; Naseh, Ali (Supervisor)
Abstract
In this thesis we are going to show various relations between AdS/CFT correspondence and quantum information theory. For this aim we have a brief review about this correspondence and describe how one can derive linearized Einstein's equations using holographic prescription of entanglement entropy. It is explained how the quantum error correction concept can help us to solve the paradoxes due to extrapolate dictionary. After introducing $ T\overline{T} $ deformation and complexity, we use the path integral optimization approach of Takayanagi and collaborators to find the time slice of geometries dual to states in the $ T\overline{T} $-deformed two dimensional conformal field theories...
Cataloging briefHolography and Quantum Information Theory: Complexity and T T Deformation, M.Sc. Thesis Sharif University of Technology ; Karimipour, Vahid (Supervisor) ; Naseh, Ali (Supervisor)
Abstract
In this thesis we are going to show various relations between AdS/CFT correspondence and quantum information theory. For this aim we have a brief review about this correspondence and describe how one can derive linearized Einstein's equations using holographic prescription of entanglement entropy. It is explained how the quantum error correction concept can help us to solve the paradoxes due to extrapolate dictionary. After introducing $ T\overline{T} $ deformation and complexity, we use the path integral optimization approach of Takayanagi and collaborators to find the time slice of geometries dual to states in the $ T\overline{T} $-deformed two dimensional conformal field theories...
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