Author: Kukulski, Ryszard; Lewandowska, Paulina; Pawela, Åukasz
Title: Perturbation of the Numerical Range of Unitary Matrices Cord-id: c7r5cc0n Document date: 2020_5_25
ID: c7r5cc0n
Snippet: In this work we show how to approach the problem of manipulating 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.
Document: In this work we show how to approach the problem of manipulating 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.
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