Random Walk of Bipartite Spins in a Classicalized Holographic Tensor Network

Abstract

We consider the random walk of spin-zero bipartite spins in the classicalized holographic tensor network of the ground state of a strongly coupled two-dimensional conformal field theory. The bipartite-spin distribution induces a metric in this network. In the steady state of the random walk, the induced metric gives the two-dimensional anti-de Sitter (AdS${}_2$) space metric. We consider this distribution as a microscopic statistical model of the AdS${}_2$ space metric.

3 pages, revtex

References in corpus (2)

• A class of quantum many-body states that can be efficiently simulated
• Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States