Perturbation of the numerical range of unitary matrices

TytułPerturbation of the numerical range of unitary matrices
Publication TypeJournal Article
Rok publikacji2020
AutorzyKukulski R, Lewandowska P, Pawela Ł
Journalpreprint, arXiv:2002.05553
Abstract

In this work we show how to approach the problem of manimulating the numerical range of a unitary matrix. This task has farreaching impact on the study of discrimination of quantum measurements. We achieve the aforementioned manipulation by introducing
a method which allows us to find a unitary matrix whose numerical range contains the origin where at the same time the distance between
unitary matrix and its perturbation is relative small in given metric.

 

URLhttps://arxiv.org/abs/2002.05553

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