14
views
0
recommends
+1 Recommend
0 collections
    0
    shares
      • Record: found
      • Abstract: found
      • Article: found
      Is Open Access

      Conformal properties of hyperinvariant tensor networks

      research-article
      1 , 2 , , 3 , 4
      Scientific Reports
      Nature Publishing Group UK
      Theoretical physics, Quantum physics, Quantum simulation

      Read this article at

      Bookmark
          There is no author summary for this article yet. Authors can add summaries to their articles on ScienceOpen to make them more accessible to a non-specialist audience.

          Abstract

          Hyperinvariant tensor networks (hyMERA) were introduced as a way to combine the successes of perfect tensor networks (HaPPY) and the multiscale entanglement renormalization ansatz (MERA) in simulations of the AdS/CFT correspondence. Although this new class of tensor network shows much potential for simulating conformal field theories arising from hyperbolic bulk manifolds with quasiperiodic boundaries, many issues are unresolved. In this manuscript we analyze the challenges related to optimizing tensors in a hyMERA with respect to some quasiperiodic critical spin chain, and compare with standard approaches in MERA. Additionally, we show two new sets of tensor decompositions which exhibit different properties from the original construction, implying that the multitensor constraints are neither unique, nor difficult to find, and that a generalization of the analytical tensor forms used up until now may exist. Lastly, we perform randomized trials using a descending superoperator with several of the investigated tensor decompositions, and find that the constraints imposed on the spectra of local descending superoperators in hyMERA are compatible with the operator spectra of several minimial model CFTs.

          Related collections

          Most cited references57

          • Record: found
          • Abstract: not found
          • Article: not found

          Infinite conformal symmetry in two-dimensional quantum field theory

            Bookmark
            • Record: found
            • Abstract: not found
            • Article: not found

            Aspects of holographic entanglement entropy

              Bookmark
              • Record: found
              • Abstract: not found
              • Article: not found

              A practical introduction to tensor networks: Matrix product states and projected entangled pair states

                Bookmark

                Author and article information

                Contributors
                matt.steinberg3@gmail.com
                Journal
                Sci Rep
                Sci Rep
                Scientific Reports
                Nature Publishing Group UK (London )
                2045-2322
                11 January 2022
                11 January 2022
                2022
                : 12
                : 532
                Affiliations
                [1 ]GRID grid.499331.5, QuTech, Delft University of Technology, ; Delft, The Netherlands
                [2 ]GRID grid.5292.c, ISNI 0000 0001 2097 4740, Quantum and Computer Engineering Department, , Delft University of Technology, ; Delft, The Netherlands
                [3 ]GRID grid.218430.c, ISNI 0000 0001 2153 2602, Departamento de Física Aplicada, , Universidad Politécnica de Cartagena, ; 30202 Cartagena, Spain
                [4 ]GRID grid.4489.1, ISNI 0000000121678994, Instituto Carlos I de Física Teórica y Computacional, , Universidad de Granada, ; 18071 Granada, Spain
                Article
                4375
                10.1038/s41598-021-04375-5
                8752860
                35017572
                cd076bc5-384a-43ce-a9cb-7507f4ffb8de
                © The Author(s) 2022

                Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 22 July 2021
                : 20 December 2021
                Categories
                Article
                Custom metadata
                © The Author(s) 2022

                Uncategorized
                theoretical physics,quantum physics,quantum simulation
                Uncategorized
                theoretical physics, quantum physics, quantum simulation

                Comments

                Comment on this article

                scite_
                0
                0
                0
                0
                Smart Citations
                0
                0
                0
                0
                Citing PublicationsSupportingMentioningContrasting
                View Citations

                See how this article has been cited at scite.ai

                scite shows how a scientific paper has been cited by providing the context of the citation, a classification describing whether it supports, mentions, or contrasts the cited claim, and a label indicating in which section the citation was made.

                Similar content533

                Most referenced authors361