Freiburg 2019 – wissenschaftliches Programm
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FM: Fall Meeting
FM 60: Quantum Computation: Fault Tolerance & Error Correction
FM 60.3: Talk
Mittwoch, 25. September 2019, 14:45–15:00, 3044
recent trends with the AdS/CFT correspondence in the tensor network setting — •Matthew Steinberg1,2 and Javier Prior3 — 1HQS Quantum Simulations — 2FU Berlin — 3Politechnical University of Cartagena
In recent years, much attention has been drawn to possible connections between the much-lauded theory of quantum gravity, the AdS/CFT correspondence, and quantum information theory. A natural setting for the study of bulk-boundary correspondences has developed with tensor network methods. These methods, and in particular MERA and perfect tensor networks, have been compared to the AdS/CFT correspondence and partially realize certain aspects of the duality. Hyperinvariant tensor networks have since been proposed in previous work as one model that links both previously described classes of tensor networks. This model, although promising, admittedly faces several challenges that impede an algorithmic realization of hyperinvariant tensor networks. In this talk, we wish to review some of these developments and offer insights into future study of the AdS/CFT correspondence in the tensor network setting. Our hope is that our present work will stimulate interest in hyperinvariant tensor networks in the theoretical community.