Aspects of Tensor Network in Gauge/Gravity Duality

DOI

Bibliographic Information

Other Title
  • ゲージ・重力対応におけるテンソルネットワーク

Abstract

<p>We explore the applications of tensor networks in gauge/gravity duality. A tensor network serves as an efficient geometric representation of a quantum state, encoding the structure of quantum entanglement in the same way as the Ryu-Takayanagi formula in gauge/gravity duality. This implies that the tensor network provides a model for a time slice in anti-de Sitter space, facilitating the connection of various bulk geometric quantities with quantum information-theoretic quantities at the boundary. Within this article, we explore several such applications and establish the continuum limit of the tensor network using a path-integral approach. This allows us to directly extract bulk metrics from the tensor network.</p>

Journal

  • Butsuri

    Butsuri 79 (3), 129-134, 2024-03-05

    The Physical Society of Japan

Details 詳細情報について

  • CRID
    1390017887629696384
  • DOI
    10.11316/butsuri.79.3_129
  • ISSN
    24238872
    00290181
  • Text Lang
    ja
  • Data Source
    • JaLC
  • Abstract License Flag
    Disallowed

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