Perturbation of the numerical range of unitary matrices
Quantum Physics
2023-04-12 v1
Abstract
In this work we show how to approach the problem of manimulating the numerical range of a unitary matrix. This task has far-reaching 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.
Cite
@article{arxiv.2002.05553,
title = {Perturbation of the numerical range of unitary matrices},
author = {Ryszard Kukulski and Paulina Lewandowska and Łukasz Pawela},
journal= {arXiv preprint arXiv:2002.05553},
year = {2023}
}
Comments
11 pages