Towards explicit discrete holography: Aperiodic spin chains from hyperbolic tilings

P Basteiro, G Di Giulio, J Erdmenger, J Karl, R Meyer… - SciPost Physics, 2022 - scipost.org
We propose a new example of discrete holography that provides a new step towards
establishing the AdS/CFT duality for discrete spaces. A class of boundary Hamiltonians is …

Thread/state correspondence: from bit threads to qubit threads

YY Lin, JC Jin - Journal of High Energy Physics, 2023 - Springer
A bstract Starting from an interesting coincidence between the bit threads and SS
(surface/state) correspondence, both of which are closely related to the holographic RT …

Holographic coarse-grained states and the necessity of perfect entanglement

YY Lin, J Zhang - Physical Review D, 2024 - APS
In the framework of the holographic principle, focusing on a central concept, conditional
mutual information, we construct a class of coarse-grained states, which are intuitively …

Surface growth scheme for bulk reconstruction and tensor network

YY Lin, JR Sun, Y Sun - Journal of High Energy Physics, 2020 - Springer
A bstract We propose a surface growth approach to reconstruct the bulk spacetime
geometry, motivated by Huygens' principle of wave propagation. We show that our formalism …

Tensor networks for latent variable analysis: Higher order canonical polyadic decomposition

AH Phan, A Cichocki, I Oseledets… - … on Neural Networks …, 2019 - ieeexplore.ieee.org
The canonical polyadic decomposition (CPD) is a convenient and intuitive tool for tensor
factorization; however, for higher order tensors, it often exhibits high computational cost and …

Quantum error correction and entanglement spectrum in tensor networks

Y Ling, Y Liu, ZY Xian, Y Xiao - Physical Review D, 2019 - APS
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 …

[HTML][HTML] Note on quantum entanglement and quantum geometry

Y Ling, Y Xiao, MH Wu - Physics Letters B, 2019 - Elsevier
In this note we present preliminary study on the relation between the quantum entanglement
of boundary states and the quantum geometry in the bulk in the framework of spin networks …