TY - JOUR AU - Ryszard Kukulski AU - Paulina Lewandowska AU - Ɓukasz Pawela AB -

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.

 

BT - Computational Science - ICCS 2020 LA - eng N2 -

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.

 

PY - 2020 T2 - Computational Science - ICCS 2020 TI - Perturbation of the numerical range of unitary matrices UR - https://arxiv.org/abs/2002.05553 ER -