Field of values of perturbed matrices and quantum states

Authors

MADJID KHAKSHOUR
GHOLAMREZA AGHAMOLLAEI
ALEMEH SHEIKHHOSSEINI

DOI

10.3906/mat-1702-37

Abstract

In this paper, the notion of the pseudofield of values of matrices is introduced and studied. The relationship between quantum states and the field of values of matrices is mentioned. The notion of the pseudopolynomial numerical hull, as a generalization of the pseudofield of values, of matrices is introduced and some properties of this notion are investigated.

Keywords

Field of values, quantum state, pseudospectrum, polynomial numerical hull

First Page

647

Last Page

655

Recommended Citation

KHAKSHOUR, MADJID; AGHAMOLLAEI, GHOLAMREZA; and SHEIKHHOSSEINI, ALEMEH (2018) "Field of values of perturbed matrices and quantum states," Turkish Journal of Mathematics: Vol. 42: No. 2, Article 18. https://doi.org/10.3906/mat-1702-37
Available at: https://journals.tubitak.gov.tr/math/vol42/iss2/18