Quantum Information Theory and Holography

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Doroudiani, Mehregan | 2020

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 53270 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Karimipour, Vahid; Naseh, Ali
Abstract:
In this thesis, we investigate some of the quantum information theoretic approaches in gauge-gravity duality and specially AdS/CFT. Our main focus is the entanglement entropy on the boundary of a holographic theory and its dual on bulk which is called Ryu-Takayanagi (RT) surface. We show that a tensor network model of particles, named HaPPY model, can mimic the RT formula. After proving the RT formula in this model, we introduce a new class of multipartite entangled state named Planar Maximally Entangled (PME) states which can be used as an alternative building block in HaPPY model. We classify PME state of four qubits and give some example of these states for general number of particles. Finally, we discuss some properties of PME's
Keywords:
Entangled State ; Quantum Information Theory ; Holography ; Gauge/Gravity Duality ; Quantum Secret Sharing ; Holographic Code