A Tensor Version of the Quantum Wielandt Theorem

Michalek, Mateusz; Seynnaeve, Tim; Verstraete, Frank

A Tensor Version of the Quantum Wielandt Theorem

Dateien

Michalek_2-1t52sacmslibg6.pdfGröße: 315.35 KBDownloads: 133

Datum

2019

Autor:innen

Michalek, Mateusz

Seynnaeve, Tim

Verstraete, Frank

Open Access-Veröffentlichung

Open Access Hybrid

Sammlungen

Mathematik und Statistik

Publikationstyp

Zeitschriftenartikel

Publikationsstatus

Published

Erschienen in

SIAM Journal on Matrix Analysis and Applications. SIAM. 2019, 40(3), pp. 1125-1130. ISSN 0895-4798. eISSN 1095-7162. Available under: doi: 10.1137/18M1227664

Zusammenfassung

We prove boundedness results for the injectivity regions for projected entangled pair states. Our result is a higher-dimensional generalization of the quantum Wielandt inequality.

Fachgebiet (DDC)

510 Mathematik

Schlagwörter

PEPS, quantum Wielandt, tensor, injectivity radius, nonlinear algebra

Zitieren

ISO 690

MICHALEK, Mateusz, Tim SEYNNAEVE, Frank VERSTRAETE, 2019. A Tensor Version of the Quantum Wielandt Theorem. In: SIAM Journal on Matrix Analysis and Applications. SIAM. 2019, 40(3), pp. 1125-1130. ISSN 0895-4798. eISSN 1095-7162. Available under: doi: 10.1137/18M1227664

BibTex

@article{Michalek2019Tenso-53571,
  year={2019},
  doi={10.1137/18M1227664},
  title={A Tensor Version of the Quantum Wielandt Theorem},
  number={3},
  volume={40},
  issn={0895-4798},
  journal={SIAM Journal on Matrix Analysis and Applications},
  pages={1125--1130},
  author={Michalek, Mateusz and Seynnaeve, Tim and Verstraete, Frank}
}

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