Jahn, Alexander and Eisert, Jens (2021) Holographic tensor network models and quantum error correction: A topical review. Quantum Science and Technology, 6 (3). Art. No. 033002. ISSN 2058-9565. doi:10.1088/2058-9565/ac0293. https://resolver.caltech.edu/CaltechAUTHORS:20210701-174154858
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Abstract
Recent progress in studies of holographic dualities, originally motivated by insights from string theory, has led to a confluence with concepts and techniques from quantum information theory. A particularly successful approach has involved capturing holographic properties by means of tensor networks which not only give rise to physically meaningful correlations of holographic boundary states, but also reproduce and refine features of quantum error correction in holography. This topical review provides an overview over recent successful realizations of such models. It does so by building on an introduction of the theoretical foundations of AdS/CFT and necessary quantum information concepts, many of which have themselves developed into independent, rapidly evolving research fields.
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| Additional Information: | © 2021 IOP Publishing Ltd. Received 8 February 2021; Revised 27 April 2021; Accepted 18 May 2021; Published 23 June 2021. We would like to warmly thank numerous colleagues for stimulating discussions on the topics addressed in this review. A list of those colleagues includes but is by no means limited to A. Altland, P. Caputa, J. Conrad, B. Czech, G. Evenbly, J. C. M. de la Fuente, M. Gluza, L. F. Hackl, D. Harlow, M. Heller, R. C. Myers, F. Pastawski, J. Prior, S. Singh, M. Steinberg, T. Takayanagi, G. Vidal, M.Walter, C.Wille, H.Wilming, X.-L. Qi, B. Yoshida, and Z. Zimboras. This work has been supported by the DFG (CRC 183 and EI 519/15-1) and the FQXi. Parts of it were produced under a Visiting Graduate Fellowship at the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science, and Economic Development, and by the Province of Ontario through the Ministry of Research and Innovation. This review includes excerpts of the doctoral thesis submitted by AJ to the Free University of Berlin. | ||||||||||||||
| Group: | Institute for Quantum Information and Matter | ||||||||||||||
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| Issue or Number: | 3 | ||||||||||||||
| DOI: | 10.1088/2058-9565/ac0293 | ||||||||||||||
| Record Number: | CaltechAUTHORS:20210701-174154858 | ||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20210701-174154858 | ||||||||||||||
| Official Citation: | Alexander Jahn and Jens Eisert 2021 Quantum Sci. Technol. 6 033002 | ||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||
| ID Code: | 109706 | ||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||||
| Deposited On: | 02 Jul 2021 20:01 | ||||||||||||||
| Last Modified: | 06 Jul 2021 22:10 |
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