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Caltech

IQI Weekly Seminar

Tuesday, November 26, 2019
3:00pm to 4:00pm
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Annenberg 107
Entanglement Wedge Reconstruction in Infinite dimensional Hilbert spaces with Tensor Networks
Monica Jinwoo Kang, Postdoctoral Scholar, Caltech,

Abstract: In order to satisfy Reeh-Schlieder theorem, I study the infinite-dimensional Hilbert spaces using von Neumann algebras. I will first present the theorem that the entanglement wedge reconstruction and the equivalence of relative entropies between the boundary and the bulk (JLMS) are exactly identical. Then I will demonstrate the entanglement wedge reconstruction with a tensor network model of von Neumann algebra with type II1 factor, which guarantees the equivalence between the boundary and the bulk. I will discuss its applications to quantum gravity if time permits.

For more information, please contact Bonnie Leung by email at [email protected].