Year: 2019
Type: article
Abstract: A sort of planar tensor network with tensor constraints is investigated as a model for holography. We study the greedy algorithm generated by tensor constraints and propose the notion of critical protection ($CP$) against the action of greedy algorithm. For given tensor constraints, a $CP$ tensor chain can be defined. We further find that the ability of quantum error correction (QEC), the non-flatness of entanglement spectrum (ES) and the correlation function can be quantitatively evaluated by the geometric structure of $CP$ tensor chain. Four classes of tensor networks with different properties of entanglement are discussed. Thanks to tensor constraints and $CP$, the correlation function is reduced into a bracket of matrix production state and the result agrees with the one in conformal field theory.
Authors: Yi Ling, Yuxuan Liu, Zhuo-Yu Xian, Yikang Xiao
Language: English
Topic: Quantum many-body systems
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W2808110740