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

抜粋

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.

元の言語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
出版者American Institute of Physics Inc.
ISBN(電子版)9780735412873
DOI
出版物ステータスPublished - 2015 3 10
外部発表Yes
イベントInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 - Rhodes, Greece
継続期間: 2014 9 222014 9 28

出版物シリーズ

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

Conference

ConferenceInternational Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014
Greece
Rhodes
期間14/9/2214/9/28

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • これを引用

    Matsueda, H., & Lee, C. H. (2015). Exact mapping from singular value spectrum of a class of fractal images to entanglement spectrum of one-dimensional free fermions. : T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (版), Proceedings of the International Conference on Numerical Analysis and Applied Mathematics 2014, ICNAAM 2014 [200003] (AIP Conference Proceedings; 巻数 1648). American Institute of Physics Inc.. https://doi.org/10.1063/1.4912481