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

Hiroaki Matsueda, Ching Hua Lee

研究成果: Conference contribution

抄録

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.

本文言語English
ホスト出版物のタイトルProceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
編集者Theodore E. Simos, Theodore E. Simos, Charalambos Tsitouras, Theodore E. Simos
出版社American Institute of Physics Inc.
ISBN(電子版)9780735412873
DOI
出版ステータスPublished - 2015 3月 10
外部発表はい
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
継続期間: 2014 9月 222014 9月 28

出版物シリーズ

名前AIP Conference Proceedings
1648
ISSN(印刷版)0094-243X
ISSN(電子版)1551-7616

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
国/地域Greece
CityRhodes
Period14/9/2214/9/28

ASJC Scopus subject areas

  • 物理学および天文学(全般)

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