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Title: Exact mapping from singular value spectrum of a class of fractal images to entanglement spectrum of one-dimensional free fermions

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.
Authors:
 [1] ;  [2]
  1. Sendai National College of Technology, Sendai 989-3128 (Japan)
  2. Department of Physics, Stanford University, CA 94305 (United States)
Publication Date:
OSTI Identifier:
22391055
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1648; Journal Issue: 1; Conference: ICNAAM-2014: International Conference on Numerical Analysis and Applied Mathematics 2014, Rhodes (Greece), 22-28 Sep 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; FERMIONS; FRACTALS; HOLOGRAPHY; MAPPING; ONE-DIMENSIONAL CALCULATIONS; QUANTUM ENTANGLEMENT; QUANTUM SYSTEMS; TWO-DIMENSIONAL CALCULATIONS