@inproceedings{352581d81b104ee18807794b3852585b,
title = "Exact mapping from singular value spectrum of a class of fractal images to entanglement spectrum of one-dimensional free fermions",
abstract = "We examine singular value spectrum of a class of two-dimensional fractal images. We find that the spectra can be mapped onto entanglement spectra of free fermions in one dimension. This exact mapping tells us that the singular value decomposition is a way of detecting a holographic relation between classical and quantum systems.",
keywords = "Area law scaling, Entanglement entropy, Entanglement spectrum, Holography, Ryu-Takayanagi formula, SVD spectrum, Singular Value Decomposition (SVD), Snapshot entropy, Suzuki-Trotter decomposition, logarithmic violation",
author = "Hiroaki Matsueda and Lee, {Ching Hua}",
note = "Publisher Copyright: {\textcopyright} 2015 AIP Publishing LLC.; International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 ; Conference date: 22-09-2014 Through 28-09-2014",
year = "2015",
month = mar,
day = "10",
doi = "10.1063/1.4912481",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras and Simos, {Theodore E.}",
booktitle = "Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014",
}