论文标题

统一矩阵的数值范围的扰动

Perturbation of the numerical range of unitary matrices

论文作者

Kukulski, Ryszard, Lewandowska, Paulina, Pawela, Łukasz

论文摘要

在这项工作中,我们展示了如何解决统一矩阵的数值范围的问题。这项任务对量子测量的歧视研究具有深远的影响。我们通过引入一种方法来实现上述操作,该方法使我们能够找到一个统一矩阵,其数值范围包含起点,同时,在给定度量中,单位矩阵及其扰动之间的距离相对小。

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.

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