Workshop »Interplay of quantum information, foundations and gravity« Mitschnitt einer Veranstaltung des Institute for Quantum Optics and Quantum Information (IQOQI) am Dienstag, dem 29. Mai 2018 im Theatersaal der Österreichischen Akademie der Wissenschaften Teil 9: Sukhi Singh: Holographic spin networks from tensor network states Kamera: Augustin Vanrietvelde Schnitt: Daniel Winkler Sukhi Singh arbeitet am Institut für Quantenoptik and Quanteninformation (IQOQI) der Österreichischen Akademie der Wissenschaften. Abstract: The multi-scale entanglement renormalization ansatz (MERA) is a successful tensor network description for ground states of quantum critical systems .The latter are effectively described by conformal field theory (CFT) in the continuum, and it has recently been proposed that the MERA may be some sort of discrete realization of the AdS/CFT correspondence. Though how the MERA representation of a critical ground state could possibly encode a dual bulk state in one higher dimension is still an open question. In this talk, I will introduce a candidate dual bulk state from the MERA representation of a critical ground state, guided primarily by a rule of thumb in AdS/CFT, namely, a global symmetry at the boundary appears gauged in the bulk. Applying a known procedure of directly gauging symmetries in tensor network states greatly constraints the structure of the bulk state. I will describe how the dual bulk state so obtained exhibits other interesting features, some of which are reminiscent of known properties of AdS/CFT. INHALT ====== Kapitel Titel Position --------------------------------------------------------------------- 1. Vorspann 00:00:00 2. Introduction 00:00:08 3. Symmetries 00:11:27 4. MERA and AdS/CFT 00:22:55 5. Bulk/boundary dictionary for critical ground state 00:33:26 6. Holographic interpretation 00:43:22 7. Questions from the audience 00:50:14

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