00842nas a2200133 4500000000100000000000100001008004100002100002100043700002400064700001900088245006000107856003700167520050400204 2020 d1 aRyszard Kukulski1 aPaulina Lewandowska1 aĆukasz Pawela00aPerturbation of the numerical range of unitary matrices uhttps://arxiv.org/abs/2002.055533 a
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.