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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
96/2018

A tensor version of the quantum Wielandt theorem

Mateusz Michałek, Tim Seynnaeve and Frank Verstraete

Abstract

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

Received:
Nov 15, 2018
Published:
Nov 16, 2018
MSC Codes:
15A69, 82B20

Related publications

inJournal
2019 Journal Open Access
Mateusz Michałek, Tim Seynnaeve and Frank Verstraete

A tensor version of the quantum Wielandt theorem

In: SIAM journal on matrix analysis and applications, 40 (2019) 3, pp. 1125-1130