@phdthesis{Weigel2023, author = {Weigel, Anna-Lena}, title = {Spacetime Geometry from Quantum Circuits and Berry Phases in AdS/CFT}, doi = {10.25972/OPUS-32748}, url = {http://nbn-resolving.de/urn:nbn:de:bvb:20-opus-327481}, school = {Universit{\"a}t W{\"u}rzburg}, year = {2023}, abstract = {In this thesis, I establish new relations between quantum information measures in a two-dimensional CFT and geometric objects in a three-dimensional AdS space employing the AdS/CFT correspondence. I focus on two quantum information measures: the computational cost of quantum circuits in a CFT and Berry phases in two entangled CFTs. In particular, I show that these quantities are associated with geometric objects in the dual AdS space.}, subject = {AdS-CFT-Korrespondenz}, language = {en} }