Homogeneous MERA states: an information theoretical analysis

TL;DR

This paper provides an information-theoretical analysis of homogeneous MERA states, offering explicit formulas for expectation values and clarifying the structure of their transfer super-operator, advancing understanding of quantum critical systems.

Contribution

It introduces a detailed informational framework for homogeneous MERA states, including explicit expectation value calculations and transfer operator analysis.

Findings

Explicit expressions for symmetric observable expectation values.

Clarification of the transfer super-operator structure.

Analysis applicable to finite and infinite systems.

Abstract

Homogeneous Multi-scale Entanglement Renormalization Ansazt (MERA) state have been recently introduced to describe quantum critical systems. Here we present an extensive analysis of the properties of such states by clarifying the definition of their transfer super-operator whose structure is studied within a informational theoretical approach. Explicit expressions for computing the expectation values of symmetric observables are given both in the case of finite size systems and in the thermodynamic limit of infinitely many particles.