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

Journal Article · Tue Mar 10 00:00:00 EDT 2015 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4912481· OSTI ID:22391055

Matsueda, Hiroaki ^[1]; Lee, Ching Hua ^[2]

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1. Sendai National College of Technology, Sendai 989-3128 (Japan)
2. Department of Physics, Stanford University, CA 94305 (United States)

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.

• OSTI ID: 22391055
• Journal Information: AIP Conference Proceedings, Vol. 1648, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FERMIONS
FRACTALS
HOLOGRAPHY
MAPPING
ONE-DIMENSIONAL CALCULATIONS
QUANTUM ENTANGLEMENT
QUANTUM SYSTEMS
TWO-DIMENSIONAL CALCULATIONS